LCM for 30 and 60

The first method to find LCM for numbers 30 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 60 is 30, so

LCM = (30 × 60) ÷ 30

LCM = 1800 ÷ 30

LCM = 60

The second method to find LCM for numbers 30 and 60 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 30: 30, 60, 90, 120

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580, 2640, 2700, 2760, 2820, 2880, 2940, 3000, 3060, 3120, 3180, 3240, 3300, 3360, 3420, 3480, 3540, 3600, 3660, 3720, 3780, 3840, 3900, 3960, 4020, 4080, 4140, 4200, 4260, 4320, 4380, 4440, 4500, 4560, 4620, 4680, 4740, 4800, 4860, 4920, 4980, 5040, 5100, 5160, 5220, 5280, 5340, 5400, 5460, 5520, 5580, 5640, 5700, 5760, 5820, 5880, 5940, 6000, 6060, 6120, 6180, 6240, 6300, 6360, 6420, 6480, 6540, 6600, 6660, 6720, 6780, 6840, 6900, 6960, 7020, 7080, 7140, 7200, 7260, 7320, 7380, 7440, 7500, 7560, 7620, 7680, 7740, 7800, 7860, 7920, 7980, 8040, 8100, 8160, 8220, 8280, 8340, 8400, 8460, 8520, 8580, 8640, 8700, 8760, 8820, 8880, 8940, 9000, 9060, 9120, 9180, 9240, 9300, 9360, 9420, 9480, 9540, 9600, 9660, 9720, 9780, 9840, 9900, 9960, 10020, 10080, 10140, 10200, 10260, 10320, 10380, 10440, 10500, 10560, 10620, 10680, 10740, 10800, 10860, 10920, 10980, 11040, 11100, 11160, 11220, 11280, 11340, 11400, 11460, 11520, 11580, 11640, 11700, 11760, 11820, 11880, 11940, 12000, 12060, 12120, 12180, 12240, 12300, 12360, 12420, 12480, 12540, 12600, 12660, 12720, 12780, 12840, 12900, 12960, 13020, 13080, 13140, 13200, 13260, 13320, 13380, 13440, 13500, 13560, 13620, 13680, 13740, 13800, 13860, 13920, 13980, 14040, 14100, 14160, 14220, 14280, 14340, 14400, 14460, 14520, 14580, 14640, 14700, 14760, 14820, 14880, 14940, 15000, 15060, 15120, 15180, 15240, 15300, 15360, 15420, 15480, 15540, 15600, 15660, 15720, 15780, 15840, 15900, 15960, 16020, 16080, 16140, 16200, 16260, 16320, 16380, 16440, 16500, 16560, 16620, 16680, 16740, 16800, 16860, 16920, 16980, 17040, 17100, 17160, 17220, 17280, 17340, 17400, 17460, 17520, 17580, 17640, 17700, 17760, 17820, 17880, 17940, 18000, 18060, 18120, 18180, 18240, 18300, 18360, 18420, 18480, 18540, 18600, 18660, 18720, 18780, 18840, 18900, 18960, 19020, 19080, 19140, 19200, 19260, 19320, 19380, 19440, 19500, 19560, 19620, 19680, 19740, 19800, 19860, 19920, 19980, 20040, 20100, 20160, 20220, 20280, 20340, 20400, 20460, 20520, 20580, 20640, 20700, 20760, 20820, 20880, 20940, 21000, 21060, 21120, 21180, 21240, 21300, 21360, 21420, 21480, 21540, 21600, 21660, 21720, 21780, 21840, 21900, 21960, 22020, 22080, 22140, 22200, 22260, 22320, 22380, 22440, 22500, 22560, 22620, 22680, 22740, 22800, 22860, 22920, 22980, 23040, 23100, 23160, 23220, 23280, 23340, 23400, 23460, 23520, 23580, 23640, 23700, 23760, 23820, 23880, 23940, 24000, 24060, 24120, 24180, 24240, 24300, 24360, 24420, 24480, 24540, 24600, 24660, 24720, 24780, 24840, 24900, 24960, 25020, 25080, 25140, 25200, 25260, 25320, 25380, 25440, 25500, 25560, 25620, 25680, 25740, 25800, 25860, 25920, 25980, 26040, 26100, 26160, 26220, 26280, 26340, 26400, 26460, 26520, 26580, 26640, 26700, 26760, 26820, 26880, 26940, 27000, 27060, 27120, 27180, 27240, 27300, 27360, 27420, 27480, 27540, 27600, 27660, 27720, 27780, 27840, 27900, 27960, 28020, 28080, 28140, 28200, 28260, 28320, 28380, 28440, 28500, 28560, 28620, 28680, 28740, 28800, 28860, 28920, 28980, 29040, 29100, 29160, 29220, 29280, 29340, 29400, 29460, 29520, 29580, 29640, 29700, 29760, 29820, 29880, 29940, 30000, 30060, 30120, 30180, 30240, 30300, 30360, 30420, 30480, 30540, 30600, 30660, 30720, 30780, 30840, 30900, 30960, 31020, 31080, 31140, 31200, 31260, 31320, 31380, 31440, 31500, 31560, 31620, 31680, 31740, 31800, 31860, 31920, 31980, 32040, 32100, 32160, 32220, 32280, 32340, 32400, 32460, 32520, 32580, 32640, 32700, 32760, 32820, 32880, 32940, 33000, 33060, 33120, 33180, 33240, 33300, 33360, 33420, 33480, 33540, 33600, 33660, 33720, 33780, 33840, 33900, 33960, 34020, 34080, 34140, 34200, 34260, 34320, 34380, 34440, 34500, 34560, 34620, 34680, 34740, 34800, 34860, 34920, 34980, 35040, 35100, 35160, 35220, 35280, 35340, 35400, 35460, 35520, 35580, 35640, 35700, 35760, 35820, 35880, 35940, 36000, 36060, 36120, 36180, 36240, 36300, 36360, 36420, 36480, 36540, 36600, 36660, 36720, 36780, 36840, 36900, 36960, 37020, 37080, 37140, 37200, 37260, 37320, 37380, 37440, 37500, 37560, 37620, 37680, 37740, 37800, 37860, 37920, 37980, 38040, 38100, 38160, 38220, 38280, 38340, 38400, 38460, 38520, 38580, 38640, 38700, 38760, 38820, 38880, 38940, 39000, 39060, 39120, 39180, 39240, 39300, 39360, 39420, 39480, 39540, 39600, 39660, 39720, 39780, 39840, 39900, 39960, 40020, 40080, 40140, 40200, 40260, 40320, 40380, 40440, 40500, 40560, 40620, 40680, 40740, 40800, 40860, 40920, 40980, 41040, 41100, 41160, 41220, 41280, 41340, 41400, 41460, 41520, 41580, 41640, 41700, 41760, 41820, 41880, 41940, 42000, 42060, 42120, 42180, 42240, 42300, 42360, 42420, 42480, 42540, 42600, 42660, 42720, 42780, 42840, 42900, 42960, 43020, 43080, 43140, 43200, 43260, 43320, 43380, 43440, 43500, 43560, 43620, 43680, 43740, 43800, 43860, 43920, 43980, 44040, 44100, 44160, 44220, 44280, 44340, 44400, 44460, 44520, 44580, 44640, 44700, 44760, 44820, 44880, 44940, 45000, 45060, 45120, 45180, 45240, 45300, 45360, 45420, 45480, 45540, 45600, 45660, 45720, 45780, 45840, 45900, 45960, 46020, 46080, 46140, 46200, 46260, 46320, 46380, 46440, 46500, 46560, 46620, 46680, 46740, 46800, 46860, 46920, 46980, 47040, 47100, 47160, 47220, 47280, 47340, 47400, 47460, 47520, 47580, 47640, 47700, 47760, 47820, 47880, 47940, 48000, 48060, 48120, 48180, 48240, 48300, 48360, 48420, 48480, 48540, 48600, 48660, 48720, 48780, 48840, 48900, 48960, 49020, 49080, 49140, 49200, 49260, 49320, 49380, 49440, 49500, 49560, 49620, 49680, 49740, 49800, 49860, 49920, 49980, 50040, 50100, 50160, 50220, 50280, 50340, 50400, 50460, 50520, 50580, 50640, 50700, 50760, 50820, 50880, 50940, 51000, 51060, 51120, 51180, 51240, 51300, 51360, 51420, 51480, 51540, 51600, 51660, 51720, 51780, 51840, 51900, 51960, 52020, 52080, 52140, 52200, 52260, 52320, 52380, 52440, 52500, 52560, 52620, 52680, 52740, 52800, 52860, 52920, 52980, 53040, 53100, 53160, 53220, 53280, 53340, 53400, 53460, 53520, 53580, 53640, 53700, 53760, 53820, 53880, 53940, 54000, 54060, 54120, 54180, 54240, 54300, 54360, 54420, 54480, 54540, 54600, 54660, 54720, 54780, 54840, 54900, 54960, 55020, 55080, 55140, 55200, 55260, 55320, 55380, 55440, 55500, 55560, 55620, 55680, 55740, 55800, 55860, 55920, 55980, 56040, 56100, 56160, 56220, 56280, 56340, 56400, 56460, 56520, 56580, 56640, 56700, 56760, 56820, 56880, 56940, 57000, 57060, 57120, 57180, 57240, 57300, 57360, 57420, 57480, 57540, 57600, 57660, 57720, 57780, 57840, 57900, 57960, 58020, 58080, 58140, 58200, 58260, 58320, 58380, 58440, 58500, 58560, 58620, 58680, 58740, 58800, 58860, 58920, 58980, 59040, 59100, 59160, 59220, 59280, 59340, 59400, 59460, 59520, 59580, 59640, 59700, 59760, 59820, 59880, 59940, 60000, [...], 60

So the LCM for 30 and 60 is 60

Another method to find LCM for numbers 30 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors: