LCM for 60 and 120

What's the Least Common Multiple (LCM) of 60 and 120?

Answer: LCM of 60 and 120 is 120

(One hundred twenty)

Finding LCM for 60 and 120 using GCF's of these numbers

The first method to find LCM for numbers 60 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 120 is 60, so

LCM = (60 × 120) ÷ 60

LCM = 7200 ÷ 60

LCM = 120

Finding LCM for 60 and 120 by Listing Multiples

The second method to find LCM for numbers 60 and 120 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 60: 60, 120, 180, 240

Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1080, 1200, 1320, 1440, 1560, 1680, 1800, 1920, 2040, 2160, 2280, 2400, 2520, 2640, 2760, 2880, 3000, 3120, 3240, 3360, 3480, 3600, 3720, 3840, 3960, 4080, 4200, 4320, 4440, 4560, 4680, 4800, 4920, 5040, 5160, 5280, 5400, 5520, 5640, 5760, 5880, 6000, 6120, 6240, 6360, 6480, 6600, 6720, 6840, 6960, 7080, 7200, 7320, 7440, 7560, 7680, 7800, 7920, 8040, 8160, 8280, 8400, 8520, 8640, 8760, 8880, 9000, 9120, 9240, 9360, 9480, 9600, 9720, 9840, 9960, 10080, 10200, 10320, 10440, 10560, 10680, 10800, 10920, 11040, 11160, 11280, 11400, 11520, 11640, 11760, 11880, 12000, 12120, 12240, 12360, 12480, 12600, 12720, 12840, 12960, 13080, 13200, 13320, 13440, 13560, 13680, 13800, 13920, 14040, 14160, 14280, 14400, 14520, 14640, 14760, 14880, 15000, 15120, 15240, 15360, 15480, 15600, 15720, 15840, 15960, 16080, 16200, 16320, 16440, 16560, 16680, 16800, 16920, 17040, 17160, 17280, 17400, 17520, 17640, 17760, 17880, 18000, 18120, 18240, 18360, 18480, 18600, 18720, 18840, 18960, 19080, 19200, 19320, 19440, 19560, 19680, 19800, 19920, 20040, 20160, 20280, 20400, 20520, 20640, 20760, 20880, 21000, 21120, 21240, 21360, 21480, 21600, 21720, 21840, 21960, 22080, 22200, 22320, 22440, 22560, 22680, 22800, 22920, 23040, 23160, 23280, 23400, 23520, 23640, 23760, 23880, 24000, 24120, 24240, 24360, 24480, 24600, 24720, 24840, 24960, 25080, 25200, 25320, 25440, 25560, 25680, 25800, 25920, 26040, 26160, 26280, 26400, 26520, 26640, 26760, 26880, 27000, 27120, 27240, 27360, 27480, 27600, 27720, 27840, 27960, 28080, 28200, 28320, 28440, 28560, 28680, 28800, 28920, 29040, 29160, 29280, 29400, 29520, 29640, 29760, 29880, 30000, 30120, 30240, 30360, 30480, 30600, 30720, 30840, 30960, 31080, 31200, 31320, 31440, 31560, 31680, 31800, 31920, 32040, 32160, 32280, 32400, 32520, 32640, 32760, 32880, 33000, 33120, 33240, 33360, 33480, 33600, 33720, 33840, 33960, 34080, 34200, 34320, 34440, 34560, 34680, 34800, 34920, 35040, 35160, 35280, 35400, 35520, 35640, 35760, 35880, 36000, 36120, 36240, 36360, 36480, 36600, 36720, 36840, 36960, 37080, 37200, 37320, 37440, 37560, 37680, 37800, 37920, 38040, 38160, 38280, 38400, 38520, 38640, 38760, 38880, 39000, 39120, 39240, 39360, 39480, 39600, 39720, 39840, 39960, 40080, 40200, 40320, 40440, 40560, 40680, 40800, 40920, 41040, 41160, 41280, 41400, 41520, 41640, 41760, 41880, 42000, 42120, 42240, 42360, 42480, 42600, 42720, 42840, 42960, 43080, 43200, 43320, 43440, 43560, 43680, 43800, 43920, 44040, 44160, 44280, 44400, 44520, 44640, 44760, 44880, 45000, 45120, 45240, 45360, 45480, 45600, 45720, 45840, 45960, 46080, 46200, 46320, 46440, 46560, 46680, 46800, 46920, 47040, 47160, 47280, 47400, 47520, 47640, 47760, 47880, 48000, 48120, 48240, 48360, 48480, 48600, 48720, 48840, 48960, 49080, 49200, 49320, 49440, 49560, 49680, 49800, 49920, 50040, 50160, 50280, 50400, 50520, 50640, 50760, 50880, 51000, 51120, 51240, 51360, 51480, 51600, 51720, 51840, 51960, 52080, 52200, 52320, 52440, 52560, 52680, 52800, 52920, 53040, 53160, 53280, 53400, 53520, 53640, 53760, 53880, 54000, 54120, 54240, 54360, 54480, 54600, 54720, 54840, 54960, 55080, 55200, 55320, 55440, 55560, 55680, 55800, 55920, 56040, 56160, 56280, 56400, 56520, 56640, 56760, 56880, 57000, 57120, 57240, 57360, 57480, 57600, 57720, 57840, 57960, 58080, 58200, 58320, 58440, 58560, 58680, 58800, 58920, 59040, 59160, 59280, 59400, 59520, 59640, 59760, 59880, 60000, 60120, 60240, 60360, 60480, 60600, 60720, 60840, 60960, 61080, 61200, 61320, 61440, 61560, 61680, 61800, 61920, 62040, 62160, 62280, 62400, 62520, 62640, 62760, 62880, 63000, 63120, 63240, 63360, 63480, 63600, 63720, 63840, 63960, 64080, 64200, 64320, 64440, 64560, 64680, 64800, 64920, 65040, 65160, 65280, 65400, 65520, 65640, 65760, 65880, 66000, 66120, 66240, 66360, 66480, 66600, 66720, 66840, 66960, 67080, 67200, 67320, 67440, 67560, 67680, 67800, 67920, 68040, 68160, 68280, 68400, 68520, 68640, 68760, 68880, 69000, 69120, 69240, 69360, 69480, 69600, 69720, 69840, 69960, 70080, 70200, 70320, 70440, 70560, 70680, 70800, 70920, 71040, 71160, 71280, 71400, 71520, 71640, 71760, 71880, 72000, 72120, 72240, 72360, 72480, 72600, 72720, 72840, 72960, 73080, 73200, 73320, 73440, 73560, 73680, 73800, 73920, 74040, 74160, 74280, 74400, 74520, 74640, 74760, 74880, 75000, 75120, 75240, 75360, 75480, 75600, 75720, 75840, 75960, 76080, 76200, 76320, 76440, 76560, 76680, 76800, 76920, 77040, 77160, 77280, 77400, 77520, 77640, 77760, 77880, 78000, 78120, 78240, 78360, 78480, 78600, 78720, 78840, 78960, 79080, 79200, 79320, 79440, 79560, 79680, 79800, 79920, 80040, 80160, 80280, 80400, 80520, 80640, 80760, 80880, 81000, 81120, 81240, 81360, 81480, 81600, 81720, 81840, 81960, 82080, 82200, 82320, 82440, 82560, 82680, 82800, 82920, 83040, 83160, 83280, 83400, 83520, 83640, 83760, 83880, 84000, 84120, 84240, 84360, 84480, 84600, 84720, 84840, 84960, 85080, 85200, 85320, 85440, 85560, 85680, 85800, 85920, 86040, 86160, 86280, 86400, 86520, 86640, 86760, 86880, 87000, 87120, 87240, 87360, 87480, 87600, 87720, 87840, 87960, 88080, 88200, 88320, 88440, 88560, 88680, 88800, 88920, 89040, 89160, 89280, 89400, 89520, 89640, 89760, 89880, 90000, 90120, 90240, 90360, 90480, 90600, 90720, 90840, 90960, 91080, 91200, 91320, 91440, 91560, 91680, 91800, 91920, 92040, 92160, 92280, 92400, 92520, 92640, 92760, 92880, 93000, 93120, 93240, 93360, 93480, 93600, 93720, 93840, 93960, 94080, 94200, 94320, 94440, 94560, 94680, 94800, 94920, 95040, 95160, 95280, 95400, 95520, 95640, 95760, 95880, 96000, 96120, 96240, 96360, 96480, 96600, 96720, 96840, 96960, 97080, 97200, 97320, 97440, 97560, 97680, 97800, 97920, 98040, 98160, 98280, 98400, 98520, 98640, 98760, 98880, 99000, 99120, 99240, 99360, 99480, 99600, 99720, 99840, 99960, 100080, 100200, 100320, 100440, 100560, 100680, 100800, 100920, 101040, 101160, 101280, 101400, 101520, 101640, 101760, 101880, 102000, 102120, 102240, 102360, 102480, 102600, 102720, 102840, 102960, 103080, 103200, 103320, 103440, 103560, 103680, 103800, 103920, 104040, 104160, 104280, 104400, 104520, 104640, 104760, 104880, 105000, 105120, 105240, 105360, 105480, 105600, 105720, 105840, 105960, 106080, 106200, 106320, 106440, 106560, 106680, 106800, 106920, 107040, 107160, 107280, 107400, 107520, 107640, 107760, 107880, 108000, 108120, 108240, 108360, 108480, 108600, 108720, 108840, 108960, 109080, 109200, 109320, 109440, 109560, 109680, 109800, 109920, 110040, 110160, 110280, 110400, 110520, 110640, 110760, 110880, 111000, 111120, 111240, 111360, 111480, 111600, 111720, 111840, 111960, 112080, 112200, 112320, 112440, 112560, 112680, 112800, 112920, 113040, 113160, 113280, 113400, 113520, 113640, 113760, 113880, 114000, 114120, 114240, 114360, 114480, 114600, 114720, 114840, 114960, 115080, 115200, 115320, 115440, 115560, 115680, 115800, 115920, 116040, 116160, 116280, 116400, 116520, 116640, 116760, 116880, 117000, 117120, 117240, 117360, 117480, 117600, 117720, 117840, 117960, 118080, 118200, 118320, 118440, 118560, 118680, 118800, 118920, 119040, 119160, 119280, 119400, 119520, 119640, 119760, 119880, 120000, [...], 120

So the LCM for 60 and 120 is 120

Finding LCM for 60 and 120 by Prime Factorization

Another method to find LCM for numbers 60 and 120 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

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

23 × 31 × 51 = 120

LCM Table

Number 1Number 2LCM
45120
461202760
471205640
48120
491205880
50120600
511202040
521201560
531206360
541201080
551201320
56120840
571202280
581203480
591207080
60120
611207320
621203720
631202520
64120960
651201560
661201320
671208040
681202040
691202760
70120
711208520
72120360
731208760
741204440

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 60 and 120? (The answer is: 120). Select the first number (e.g. '60') and the second number (e.g. '120'). 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 60 and 120?

LCM of 60 and 120 is 120