LCM for 180 and 360

What's the Least Common Multiple (LCM) of 180 and 360?

Answer: LCM of 180 and 360 is 360

(Three hundred sixty)

Finding LCM for 180 and 360 using GCF's of these numbers

The first method to find LCM for numbers 180 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 180 and 360 is 180, so

LCM = (180 × 360) ÷ 180

LCM = 64800 ÷ 180

LCM = 360

Finding LCM for 180 and 360 by Listing Multiples

The second method to find LCM for numbers 180 and 360 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 180: 180, 360, 540, 720

Multiples of 360: 360, 720, 1080, 1440, 1800, 2160, 2520, 2880, 3240, 3600, 3960, 4320, 4680, 5040, 5400, 5760, 6120, 6480, 6840, 7200, 7560, 7920, 8280, 8640, 9000, 9360, 9720, 10080, 10440, 10800, 11160, 11520, 11880, 12240, 12600, 12960, 13320, 13680, 14040, 14400, 14760, 15120, 15480, 15840, 16200, 16560, 16920, 17280, 17640, 18000, 18360, 18720, 19080, 19440, 19800, 20160, 20520, 20880, 21240, 21600, 21960, 22320, 22680, 23040, 23400, 23760, 24120, 24480, 24840, 25200, 25560, 25920, 26280, 26640, 27000, 27360, 27720, 28080, 28440, 28800, 29160, 29520, 29880, 30240, 30600, 30960, 31320, 31680, 32040, 32400, 32760, 33120, 33480, 33840, 34200, 34560, 34920, 35280, 35640, 36000, 36360, 36720, 37080, 37440, 37800, 38160, 38520, 38880, 39240, 39600, 39960, 40320, 40680, 41040, 41400, 41760, 42120, 42480, 42840, 43200, 43560, 43920, 44280, 44640, 45000, 45360, 45720, 46080, 46440, 46800, 47160, 47520, 47880, 48240, 48600, 48960, 49320, 49680, 50040, 50400, 50760, 51120, 51480, 51840, 52200, 52560, 52920, 53280, 53640, 54000, 54360, 54720, 55080, 55440, 55800, 56160, 56520, 56880, 57240, 57600, 57960, 58320, 58680, 59040, 59400, 59760, 60120, 60480, 60840, 61200, 61560, 61920, 62280, 62640, 63000, 63360, 63720, 64080, 64440, 64800, 65160, 65520, 65880, 66240, 66600, 66960, 67320, 67680, 68040, 68400, 68760, 69120, 69480, 69840, 70200, 70560, 70920, 71280, 71640, 72000, 72360, 72720, 73080, 73440, 73800, 74160, 74520, 74880, 75240, 75600, 75960, 76320, 76680, 77040, 77400, 77760, 78120, 78480, 78840, 79200, 79560, 79920, 80280, 80640, 81000, 81360, 81720, 82080, 82440, 82800, 83160, 83520, 83880, 84240, 84600, 84960, 85320, 85680, 86040, 86400, 86760, 87120, 87480, 87840, 88200, 88560, 88920, 89280, 89640, 90000, 90360, 90720, 91080, 91440, 91800, 92160, 92520, 92880, 93240, 93600, 93960, 94320, 94680, 95040, 95400, 95760, 96120, 96480, 96840, 97200, 97560, 97920, 98280, 98640, 99000, 99360, 99720, 100080, 100440, 100800, 101160, 101520, 101880, 102240, 102600, 102960, 103320, 103680, 104040, 104400, 104760, 105120, 105480, 105840, 106200, 106560, 106920, 107280, 107640, 108000, 108360, 108720, 109080, 109440, 109800, 110160, 110520, 110880, 111240, 111600, 111960, 112320, 112680, 113040, 113400, 113760, 114120, 114480, 114840, 115200, 115560, 115920, 116280, 116640, 117000, 117360, 117720, 118080, 118440, 118800, 119160, 119520, 119880, 120240, 120600, 120960, 121320, 121680, 122040, 122400, 122760, 123120, 123480, 123840, 124200, 124560, 124920, 125280, 125640, 126000, 126360, 126720, 127080, 127440, 127800, 128160, 128520, 128880, 129240, 129600, 129960, 130320, 130680, 131040, 131400, 131760, 132120, 132480, 132840, 133200, 133560, 133920, 134280, 134640, 135000, 135360, 135720, 136080, 136440, 136800, 137160, 137520, 137880, 138240, 138600, 138960, 139320, 139680, 140040, 140400, 140760, 141120, 141480, 141840, 142200, 142560, 142920, 143280, 143640, 144000, 144360, 144720, 145080, 145440, 145800, 146160, 146520, 146880, 147240, 147600, 147960, 148320, 148680, 149040, 149400, 149760, 150120, 150480, 150840, 151200, 151560, 151920, 152280, 152640, 153000, 153360, 153720, 154080, 154440, 154800, 155160, 155520, 155880, 156240, 156600, 156960, 157320, 157680, 158040, 158400, 158760, 159120, 159480, 159840, 160200, 160560, 160920, 161280, 161640, 162000, 162360, 162720, 163080, 163440, 163800, 164160, 164520, 164880, 165240, 165600, 165960, 166320, 166680, 167040, 167400, 167760, 168120, 168480, 168840, 169200, 169560, 169920, 170280, 170640, 171000, 171360, 171720, 172080, 172440, 172800, 173160, 173520, 173880, 174240, 174600, 174960, 175320, 175680, 176040, 176400, 176760, 177120, 177480, 177840, 178200, 178560, 178920, 179280, 179640, 180000, 180360, 180720, 181080, 181440, 181800, 182160, 182520, 182880, 183240, 183600, 183960, 184320, 184680, 185040, 185400, 185760, 186120, 186480, 186840, 187200, 187560, 187920, 188280, 188640, 189000, 189360, 189720, 190080, 190440, 190800, 191160, 191520, 191880, 192240, 192600, 192960, 193320, 193680, 194040, 194400, 194760, 195120, 195480, 195840, 196200, 196560, 196920, 197280, 197640, 198000, 198360, 198720, 199080, 199440, 199800, 200160, 200520, 200880, 201240, 201600, 201960, 202320, 202680, 203040, 203400, 203760, 204120, 204480, 204840, 205200, 205560, 205920, 206280, 206640, 207000, 207360, 207720, 208080, 208440, 208800, 209160, 209520, 209880, 210240, 210600, 210960, 211320, 211680, 212040, 212400, 212760, 213120, 213480, 213840, 214200, 214560, 214920, 215280, 215640, 216000, 216360, 216720, 217080, 217440, 217800, 218160, 218520, 218880, 219240, 219600, 219960, 220320, 220680, 221040, 221400, 221760, 222120, 222480, 222840, 223200, 223560, 223920, 224280, 224640, 225000, 225360, 225720, 226080, 226440, 226800, 227160, 227520, 227880, 228240, 228600, 228960, 229320, 229680, 230040, 230400, 230760, 231120, 231480, 231840, 232200, 232560, 232920, 233280, 233640, 234000, 234360, 234720, 235080, 235440, 235800, 236160, 236520, 236880, 237240, 237600, 237960, 238320, 238680, 239040, 239400, 239760, 240120, 240480, 240840, 241200, 241560, 241920, 242280, 242640, 243000, 243360, 243720, 244080, 244440, 244800, 245160, 245520, 245880, 246240, 246600, 246960, 247320, 247680, 248040, 248400, 248760, 249120, 249480, 249840, 250200, 250560, 250920, 251280, 251640, 252000, 252360, 252720, 253080, 253440, 253800, 254160, 254520, 254880, 255240, 255600, 255960, 256320, 256680, 257040, 257400, 257760, 258120, 258480, 258840, 259200, 259560, 259920, 260280, 260640, 261000, 261360, 261720, 262080, 262440, 262800, 263160, 263520, 263880, 264240, 264600, 264960, 265320, 265680, 266040, 266400, 266760, 267120, 267480, 267840, 268200, 268560, 268920, 269280, 269640, 270000, 270360, 270720, 271080, 271440, 271800, 272160, 272520, 272880, 273240, 273600, 273960, 274320, 274680, 275040, 275400, 275760, 276120, 276480, 276840, 277200, 277560, 277920, 278280, 278640, 279000, 279360, 279720, 280080, 280440, 280800, 281160, 281520, 281880, 282240, 282600, 282960, 283320, 283680, 284040, 284400, 284760, 285120, 285480, 285840, 286200, 286560, 286920, 287280, 287640, 288000, 288360, 288720, 289080, 289440, 289800, 290160, 290520, 290880, 291240, 291600, 291960, 292320, 292680, 293040, 293400, 293760, 294120, 294480, 294840, 295200, 295560, 295920, 296280, 296640, 297000, 297360, 297720, 298080, 298440, 298800, 299160, 299520, 299880, 300240, 300600, 300960, 301320, 301680, 302040, 302400, 302760, 303120, 303480, 303840, 304200, 304560, 304920, 305280, 305640, 306000, 306360, 306720, 307080, 307440, 307800, 308160, 308520, 308880, 309240, 309600, 309960, 310320, 310680, 311040, 311400, 311760, 312120, 312480, 312840, 313200, 313560, 313920, 314280, 314640, 315000, 315360, 315720, 316080, 316440, 316800, 317160, 317520, 317880, 318240, 318600, 318960, 319320, 319680, 320040, 320400, 320760, 321120, 321480, 321840, 322200, 322560, 322920, 323280, 323640, 324000, 324360, 324720, 325080, 325440, 325800, 326160, 326520, 326880, 327240, 327600, 327960, 328320, 328680, 329040, 329400, 329760, 330120, 330480, 330840, 331200, 331560, 331920, 332280, 332640, 333000, 333360, 333720, 334080, 334440, 334800, 335160, 335520, 335880, 336240, 336600, 336960, 337320, 337680, 338040, 338400, 338760, 339120, 339480, 339840, 340200, 340560, 340920, 341280, 341640, 342000, 342360, 342720, 343080, 343440, 343800, 344160, 344520, 344880, 345240, 345600, 345960, 346320, 346680, 347040, 347400, 347760, 348120, 348480, 348840, 349200, 349560, 349920, 350280, 350640, 351000, 351360, 351720, 352080, 352440, 352800, 353160, 353520, 353880, 354240, 354600, 354960, 355320, 355680, 356040, 356400, 356760, 357120, 357480, 357840, 358200, 358560, 358920, 359280, 359640, 360000, [...], 360

So the LCM for 180 and 360 is 360

Finding LCM for 180 and 360 by Prime Factorization

Another method to find LCM for numbers 180 and 360 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

All Prime Factors of 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

23 × 32 × 51 = 360

Related Calculations

LCM Table

Number 1Number 2LCM
1653603960
16636029880
16736060120
1683602520
16936060840
1703606120
1713606840
17236015480
17336062280
17436010440
17536012600
1763607920
17736021240
17836032040
17936064440
180360
18136065160
18236032760
18336021960
1843608280
18536013320
18636011160
18736067320
18836016920
1893607560
1903606840
19136068760
1923602880
19336069480
19436034920

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 180 and 360? (The answer is: 360). Select the first number (e.g. '180') and the second number (e.g. '360'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

FAQ

What's the Least Common Multiple (LCM) of 180 and 360?

LCM of 180 and 360 is 360