LCM for 36 and 72

The first method to find LCM for numbers 36 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 72 is 36, so

LCM = (36 × 72) ÷ 36

LCM = 2592 ÷ 36

LCM = 72

The second method to find LCM for numbers 36 and 72 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 36: 36, 72, 108, 144

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008, 1080, 1152, 1224, 1296, 1368, 1440, 1512, 1584, 1656, 1728, 1800, 1872, 1944, 2016, 2088, 2160, 2232, 2304, 2376, 2448, 2520, 2592, 2664, 2736, 2808, 2880, 2952, 3024, 3096, 3168, 3240, 3312, 3384, 3456, 3528, 3600, 3672, 3744, 3816, 3888, 3960, 4032, 4104, 4176, 4248, 4320, 4392, 4464, 4536, 4608, 4680, 4752, 4824, 4896, 4968, 5040, 5112, 5184, 5256, 5328, 5400, 5472, 5544, 5616, 5688, 5760, 5832, 5904, 5976, 6048, 6120, 6192, 6264, 6336, 6408, 6480, 6552, 6624, 6696, 6768, 6840, 6912, 6984, 7056, 7128, 7200, 7272, 7344, 7416, 7488, 7560, 7632, 7704, 7776, 7848, 7920, 7992, 8064, 8136, 8208, 8280, 8352, 8424, 8496, 8568, 8640, 8712, 8784, 8856, 8928, 9000, 9072, 9144, 9216, 9288, 9360, 9432, 9504, 9576, 9648, 9720, 9792, 9864, 9936, 10008, 10080, 10152, 10224, 10296, 10368, 10440, 10512, 10584, 10656, 10728, 10800, 10872, 10944, 11016, 11088, 11160, 11232, 11304, 11376, 11448, 11520, 11592, 11664, 11736, 11808, 11880, 11952, 12024, 12096, 12168, 12240, 12312, 12384, 12456, 12528, 12600, 12672, 12744, 12816, 12888, 12960, 13032, 13104, 13176, 13248, 13320, 13392, 13464, 13536, 13608, 13680, 13752, 13824, 13896, 13968, 14040, 14112, 14184, 14256, 14328, 14400, 14472, 14544, 14616, 14688, 14760, 14832, 14904, 14976, 15048, 15120, 15192, 15264, 15336, 15408, 15480, 15552, 15624, 15696, 15768, 15840, 15912, 15984, 16056, 16128, 16200, 16272, 16344, 16416, 16488, 16560, 16632, 16704, 16776, 16848, 16920, 16992, 17064, 17136, 17208, 17280, 17352, 17424, 17496, 17568, 17640, 17712, 17784, 17856, 17928, 18000, 18072, 18144, 18216, 18288, 18360, 18432, 18504, 18576, 18648, 18720, 18792, 18864, 18936, 19008, 19080, 19152, 19224, 19296, 19368, 19440, 19512, 19584, 19656, 19728, 19800, 19872, 19944, 20016, 20088, 20160, 20232, 20304, 20376, 20448, 20520, 20592, 20664, 20736, 20808, 20880, 20952, 21024, 21096, 21168, 21240, 21312, 21384, 21456, 21528, 21600, 21672, 21744, 21816, 21888, 21960, 22032, 22104, 22176, 22248, 22320, 22392, 22464, 22536, 22608, 22680, 22752, 22824, 22896, 22968, 23040, 23112, 23184, 23256, 23328, 23400, 23472, 23544, 23616, 23688, 23760, 23832, 23904, 23976, 24048, 24120, 24192, 24264, 24336, 24408, 24480, 24552, 24624, 24696, 24768, 24840, 24912, 24984, 25056, 25128, 25200, 25272, 25344, 25416, 25488, 25560, 25632, 25704, 25776, 25848, 25920, 25992, 26064, 26136, 26208, 26280, 26352, 26424, 26496, 26568, 26640, 26712, 26784, 26856, 26928, 27000, 27072, 27144, 27216, 27288, 27360, 27432, 27504, 27576, 27648, 27720, 27792, 27864, 27936, 28008, 28080, 28152, 28224, 28296, 28368, 28440, 28512, 28584, 28656, 28728, 28800, 28872, 28944, 29016, 29088, 29160, 29232, 29304, 29376, 29448, 29520, 29592, 29664, 29736, 29808, 29880, 29952, 30024, 30096, 30168, 30240, 30312, 30384, 30456, 30528, 30600, 30672, 30744, 30816, 30888, 30960, 31032, 31104, 31176, 31248, 31320, 31392, 31464, 31536, 31608, 31680, 31752, 31824, 31896, 31968, 32040, 32112, 32184, 32256, 32328, 32400, 32472, 32544, 32616, 32688, 32760, 32832, 32904, 32976, 33048, 33120, 33192, 33264, 33336, 33408, 33480, 33552, 33624, 33696, 33768, 33840, 33912, 33984, 34056, 34128, 34200, 34272, 34344, 34416, 34488, 34560, 34632, 34704, 34776, 34848, 34920, 34992, 35064, 35136, 35208, 35280, 35352, 35424, 35496, 35568, 35640, 35712, 35784, 35856, 35928, 36000, 36072, 36144, 36216, 36288, 36360, 36432, 36504, 36576, 36648, 36720, 36792, 36864, 36936, 37008, 37080, 37152, 37224, 37296, 37368, 37440, 37512, 37584, 37656, 37728, 37800, 37872, 37944, 38016, 38088, 38160, 38232, 38304, 38376, 38448, 38520, 38592, 38664, 38736, 38808, 38880, 38952, 39024, 39096, 39168, 39240, 39312, 39384, 39456, 39528, 39600, 39672, 39744, 39816, 39888, 39960, 40032, 40104, 40176, 40248, 40320, 40392, 40464, 40536, 40608, 40680, 40752, 40824, 40896, 40968, 41040, 41112, 41184, 41256, 41328, 41400, 41472, 41544, 41616, 41688, 41760, 41832, 41904, 41976, 42048, 42120, 42192, 42264, 42336, 42408, 42480, 42552, 42624, 42696, 42768, 42840, 42912, 42984, 43056, 43128, 43200, 43272, 43344, 43416, 43488, 43560, 43632, 43704, 43776, 43848, 43920, 43992, 44064, 44136, 44208, 44280, 44352, 44424, 44496, 44568, 44640, 44712, 44784, 44856, 44928, 45000, 45072, 45144, 45216, 45288, 45360, 45432, 45504, 45576, 45648, 45720, 45792, 45864, 45936, 46008, 46080, 46152, 46224, 46296, 46368, 46440, 46512, 46584, 46656, 46728, 46800, 46872, 46944, 47016, 47088, 47160, 47232, 47304, 47376, 47448, 47520, 47592, 47664, 47736, 47808, 47880, 47952, 48024, 48096, 48168, 48240, 48312, 48384, 48456, 48528, 48600, 48672, 48744, 48816, 48888, 48960, 49032, 49104, 49176, 49248, 49320, 49392, 49464, 49536, 49608, 49680, 49752, 49824, 49896, 49968, 50040, 50112, 50184, 50256, 50328, 50400, 50472, 50544, 50616, 50688, 50760, 50832, 50904, 50976, 51048, 51120, 51192, 51264, 51336, 51408, 51480, 51552, 51624, 51696, 51768, 51840, 51912, 51984, 52056, 52128, 52200, 52272, 52344, 52416, 52488, 52560, 52632, 52704, 52776, 52848, 52920, 52992, 53064, 53136, 53208, 53280, 53352, 53424, 53496, 53568, 53640, 53712, 53784, 53856, 53928, 54000, 54072, 54144, 54216, 54288, 54360, 54432, 54504, 54576, 54648, 54720, 54792, 54864, 54936, 55008, 55080, 55152, 55224, 55296, 55368, 55440, 55512, 55584, 55656, 55728, 55800, 55872, 55944, 56016, 56088, 56160, 56232, 56304, 56376, 56448, 56520, 56592, 56664, 56736, 56808, 56880, 56952, 57024, 57096, 57168, 57240, 57312, 57384, 57456, 57528, 57600, 57672, 57744, 57816, 57888, 57960, 58032, 58104, 58176, 58248, 58320, 58392, 58464, 58536, 58608, 58680, 58752, 58824, 58896, 58968, 59040, 59112, 59184, 59256, 59328, 59400, 59472, 59544, 59616, 59688, 59760, 59832, 59904, 59976, 60048, 60120, 60192, 60264, 60336, 60408, 60480, 60552, 60624, 60696, 60768, 60840, 60912, 60984, 61056, 61128, 61200, 61272, 61344, 61416, 61488, 61560, 61632, 61704, 61776, 61848, 61920, 61992, 62064, 62136, 62208, 62280, 62352, 62424, 62496, 62568, 62640, 62712, 62784, 62856, 62928, 63000, 63072, 63144, 63216, 63288, 63360, 63432, 63504, 63576, 63648, 63720, 63792, 63864, 63936, 64008, 64080, 64152, 64224, 64296, 64368, 64440, 64512, 64584, 64656, 64728, 64800, 64872, 64944, 65016, 65088, 65160, 65232, 65304, 65376, 65448, 65520, 65592, 65664, 65736, 65808, 65880, 65952, 66024, 66096, 66168, 66240, 66312, 66384, 66456, 66528, 66600, 66672, 66744, 66816, 66888, 66960, 67032, 67104, 67176, 67248, 67320, 67392, 67464, 67536, 67608, 67680, 67752, 67824, 67896, 67968, 68040, 68112, 68184, 68256, 68328, 68400, 68472, 68544, 68616, 68688, 68760, 68832, 68904, 68976, 69048, 69120, 69192, 69264, 69336, 69408, 69480, 69552, 69624, 69696, 69768, 69840, 69912, 69984, 70056, 70128, 70200, 70272, 70344, 70416, 70488, 70560, 70632, 70704, 70776, 70848, 70920, 70992, 71064, 71136, 71208, 71280, 71352, 71424, 71496, 71568, 71640, 71712, 71784, 71856, 71928, 72000, [...], 72

So the LCM for 36 and 72 is 72

Another method to find LCM for numbers 36 and 72 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors: