LCM for 180 and 360

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

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

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: