LCM for 120 and 240

What's the Least Common Multiple (LCM) of 120 and 240?

Answer: LCM of 120 and 240 is 240

(Two hundred forty)

Finding LCM for 120 and 240 using GCF's of these numbers

The first method to find LCM for numbers 120 and 240 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 240 is 120, so

LCM = (120 × 240) ÷ 120

LCM = 28800 ÷ 120

LCM = 240

Finding LCM for 120 and 240 by Listing Multiples

The second method to find LCM for numbers 120 and 240 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 120: 120, 240, 360, 480

Multiples of 240: 240, 480, 720, 960, 1200, 1440, 1680, 1920, 2160, 2400, 2640, 2880, 3120, 3360, 3600, 3840, 4080, 4320, 4560, 4800, 5040, 5280, 5520, 5760, 6000, 6240, 6480, 6720, 6960, 7200, 7440, 7680, 7920, 8160, 8400, 8640, 8880, 9120, 9360, 9600, 9840, 10080, 10320, 10560, 10800, 11040, 11280, 11520, 11760, 12000, 12240, 12480, 12720, 12960, 13200, 13440, 13680, 13920, 14160, 14400, 14640, 14880, 15120, 15360, 15600, 15840, 16080, 16320, 16560, 16800, 17040, 17280, 17520, 17760, 18000, 18240, 18480, 18720, 18960, 19200, 19440, 19680, 19920, 20160, 20400, 20640, 20880, 21120, 21360, 21600, 21840, 22080, 22320, 22560, 22800, 23040, 23280, 23520, 23760, 24000, 24240, 24480, 24720, 24960, 25200, 25440, 25680, 25920, 26160, 26400, 26640, 26880, 27120, 27360, 27600, 27840, 28080, 28320, 28560, 28800, 29040, 29280, 29520, 29760, 30000, 30240, 30480, 30720, 30960, 31200, 31440, 31680, 31920, 32160, 32400, 32640, 32880, 33120, 33360, 33600, 33840, 34080, 34320, 34560, 34800, 35040, 35280, 35520, 35760, 36000, 36240, 36480, 36720, 36960, 37200, 37440, 37680, 37920, 38160, 38400, 38640, 38880, 39120, 39360, 39600, 39840, 40080, 40320, 40560, 40800, 41040, 41280, 41520, 41760, 42000, 42240, 42480, 42720, 42960, 43200, 43440, 43680, 43920, 44160, 44400, 44640, 44880, 45120, 45360, 45600, 45840, 46080, 46320, 46560, 46800, 47040, 47280, 47520, 47760, 48000, 48240, 48480, 48720, 48960, 49200, 49440, 49680, 49920, 50160, 50400, 50640, 50880, 51120, 51360, 51600, 51840, 52080, 52320, 52560, 52800, 53040, 53280, 53520, 53760, 54000, 54240, 54480, 54720, 54960, 55200, 55440, 55680, 55920, 56160, 56400, 56640, 56880, 57120, 57360, 57600, 57840, 58080, 58320, 58560, 58800, 59040, 59280, 59520, 59760, 60000, 60240, 60480, 60720, 60960, 61200, 61440, 61680, 61920, 62160, 62400, 62640, 62880, 63120, 63360, 63600, 63840, 64080, 64320, 64560, 64800, 65040, 65280, 65520, 65760, 66000, 66240, 66480, 66720, 66960, 67200, 67440, 67680, 67920, 68160, 68400, 68640, 68880, 69120, 69360, 69600, 69840, 70080, 70320, 70560, 70800, 71040, 71280, 71520, 71760, 72000, 72240, 72480, 72720, 72960, 73200, 73440, 73680, 73920, 74160, 74400, 74640, 74880, 75120, 75360, 75600, 75840, 76080, 76320, 76560, 76800, 77040, 77280, 77520, 77760, 78000, 78240, 78480, 78720, 78960, 79200, 79440, 79680, 79920, 80160, 80400, 80640, 80880, 81120, 81360, 81600, 81840, 82080, 82320, 82560, 82800, 83040, 83280, 83520, 83760, 84000, 84240, 84480, 84720, 84960, 85200, 85440, 85680, 85920, 86160, 86400, 86640, 86880, 87120, 87360, 87600, 87840, 88080, 88320, 88560, 88800, 89040, 89280, 89520, 89760, 90000, 90240, 90480, 90720, 90960, 91200, 91440, 91680, 91920, 92160, 92400, 92640, 92880, 93120, 93360, 93600, 93840, 94080, 94320, 94560, 94800, 95040, 95280, 95520, 95760, 96000, 96240, 96480, 96720, 96960, 97200, 97440, 97680, 97920, 98160, 98400, 98640, 98880, 99120, 99360, 99600, 99840, 100080, 100320, 100560, 100800, 101040, 101280, 101520, 101760, 102000, 102240, 102480, 102720, 102960, 103200, 103440, 103680, 103920, 104160, 104400, 104640, 104880, 105120, 105360, 105600, 105840, 106080, 106320, 106560, 106800, 107040, 107280, 107520, 107760, 108000, 108240, 108480, 108720, 108960, 109200, 109440, 109680, 109920, 110160, 110400, 110640, 110880, 111120, 111360, 111600, 111840, 112080, 112320, 112560, 112800, 113040, 113280, 113520, 113760, 114000, 114240, 114480, 114720, 114960, 115200, 115440, 115680, 115920, 116160, 116400, 116640, 116880, 117120, 117360, 117600, 117840, 118080, 118320, 118560, 118800, 119040, 119280, 119520, 119760, 120000, 120240, 120480, 120720, 120960, 121200, 121440, 121680, 121920, 122160, 122400, 122640, 122880, 123120, 123360, 123600, 123840, 124080, 124320, 124560, 124800, 125040, 125280, 125520, 125760, 126000, 126240, 126480, 126720, 126960, 127200, 127440, 127680, 127920, 128160, 128400, 128640, 128880, 129120, 129360, 129600, 129840, 130080, 130320, 130560, 130800, 131040, 131280, 131520, 131760, 132000, 132240, 132480, 132720, 132960, 133200, 133440, 133680, 133920, 134160, 134400, 134640, 134880, 135120, 135360, 135600, 135840, 136080, 136320, 136560, 136800, 137040, 137280, 137520, 137760, 138000, 138240, 138480, 138720, 138960, 139200, 139440, 139680, 139920, 140160, 140400, 140640, 140880, 141120, 141360, 141600, 141840, 142080, 142320, 142560, 142800, 143040, 143280, 143520, 143760, 144000, 144240, 144480, 144720, 144960, 145200, 145440, 145680, 145920, 146160, 146400, 146640, 146880, 147120, 147360, 147600, 147840, 148080, 148320, 148560, 148800, 149040, 149280, 149520, 149760, 150000, 150240, 150480, 150720, 150960, 151200, 151440, 151680, 151920, 152160, 152400, 152640, 152880, 153120, 153360, 153600, 153840, 154080, 154320, 154560, 154800, 155040, 155280, 155520, 155760, 156000, 156240, 156480, 156720, 156960, 157200, 157440, 157680, 157920, 158160, 158400, 158640, 158880, 159120, 159360, 159600, 159840, 160080, 160320, 160560, 160800, 161040, 161280, 161520, 161760, 162000, 162240, 162480, 162720, 162960, 163200, 163440, 163680, 163920, 164160, 164400, 164640, 164880, 165120, 165360, 165600, 165840, 166080, 166320, 166560, 166800, 167040, 167280, 167520, 167760, 168000, 168240, 168480, 168720, 168960, 169200, 169440, 169680, 169920, 170160, 170400, 170640, 170880, 171120, 171360, 171600, 171840, 172080, 172320, 172560, 172800, 173040, 173280, 173520, 173760, 174000, 174240, 174480, 174720, 174960, 175200, 175440, 175680, 175920, 176160, 176400, 176640, 176880, 177120, 177360, 177600, 177840, 178080, 178320, 178560, 178800, 179040, 179280, 179520, 179760, 180000, 180240, 180480, 180720, 180960, 181200, 181440, 181680, 181920, 182160, 182400, 182640, 182880, 183120, 183360, 183600, 183840, 184080, 184320, 184560, 184800, 185040, 185280, 185520, 185760, 186000, 186240, 186480, 186720, 186960, 187200, 187440, 187680, 187920, 188160, 188400, 188640, 188880, 189120, 189360, 189600, 189840, 190080, 190320, 190560, 190800, 191040, 191280, 191520, 191760, 192000, 192240, 192480, 192720, 192960, 193200, 193440, 193680, 193920, 194160, 194400, 194640, 194880, 195120, 195360, 195600, 195840, 196080, 196320, 196560, 196800, 197040, 197280, 197520, 197760, 198000, 198240, 198480, 198720, 198960, 199200, 199440, 199680, 199920, 200160, 200400, 200640, 200880, 201120, 201360, 201600, 201840, 202080, 202320, 202560, 202800, 203040, 203280, 203520, 203760, 204000, 204240, 204480, 204720, 204960, 205200, 205440, 205680, 205920, 206160, 206400, 206640, 206880, 207120, 207360, 207600, 207840, 208080, 208320, 208560, 208800, 209040, 209280, 209520, 209760, 210000, 210240, 210480, 210720, 210960, 211200, 211440, 211680, 211920, 212160, 212400, 212640, 212880, 213120, 213360, 213600, 213840, 214080, 214320, 214560, 214800, 215040, 215280, 215520, 215760, 216000, 216240, 216480, 216720, 216960, 217200, 217440, 217680, 217920, 218160, 218400, 218640, 218880, 219120, 219360, 219600, 219840, 220080, 220320, 220560, 220800, 221040, 221280, 221520, 221760, 222000, 222240, 222480, 222720, 222960, 223200, 223440, 223680, 223920, 224160, 224400, 224640, 224880, 225120, 225360, 225600, 225840, 226080, 226320, 226560, 226800, 227040, 227280, 227520, 227760, 228000, 228240, 228480, 228720, 228960, 229200, 229440, 229680, 229920, 230160, 230400, 230640, 230880, 231120, 231360, 231600, 231840, 232080, 232320, 232560, 232800, 233040, 233280, 233520, 233760, 234000, 234240, 234480, 234720, 234960, 235200, 235440, 235680, 235920, 236160, 236400, 236640, 236880, 237120, 237360, 237600, 237840, 238080, 238320, 238560, 238800, 239040, 239280, 239520, 239760, 240000, [...], 240

So the LCM for 120 and 240 is 240

Finding LCM for 120 and 240 by Prime Factorization

Another method to find LCM for numbers 120 and 240 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

All Prime Factors of 240: 2, 2, 2, 2, 3, 5 (exponent form: 24, 31, 51)

24 × 31 × 51 = 240

See Also

LCM Table

Number 1Number 2LCM
1052401680
10624012720
10724025680
1082402160
10924026160
1102402640
1112408880
1122401680
11324027120
1142404560
1152405520
1162406960
1172409360
11824014160
11924028560
120240
12124029040
12224014640
1232409840
1242407440
1252406000
1262405040
12724030480
1282401920
12924010320
1302403120
13124031440
1322402640
13324031920
13424016080

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 120 and 240? (The answer is: 240). Select the first number (e.g. '120') and the second number (e.g. '240'). 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 120 and 240?

LCM of 120 and 240 is 240