LCM for 18 and 36

The first method to find LCM for numbers 18 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 18 and 36 is 18, so

LCM = (18 × 36) ÷ 18

LCM = 648 ÷ 18

LCM = 36

The second method to find LCM for numbers 18 and 36 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 18: 18, 36, 54, 72

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936, 972, 1008, 1044, 1080, 1116, 1152, 1188, 1224, 1260, 1296, 1332, 1368, 1404, 1440, 1476, 1512, 1548, 1584, 1620, 1656, 1692, 1728, 1764, 1800, 1836, 1872, 1908, 1944, 1980, 2016, 2052, 2088, 2124, 2160, 2196, 2232, 2268, 2304, 2340, 2376, 2412, 2448, 2484, 2520, 2556, 2592, 2628, 2664, 2700, 2736, 2772, 2808, 2844, 2880, 2916, 2952, 2988, 3024, 3060, 3096, 3132, 3168, 3204, 3240, 3276, 3312, 3348, 3384, 3420, 3456, 3492, 3528, 3564, 3600, 3636, 3672, 3708, 3744, 3780, 3816, 3852, 3888, 3924, 3960, 3996, 4032, 4068, 4104, 4140, 4176, 4212, 4248, 4284, 4320, 4356, 4392, 4428, 4464, 4500, 4536, 4572, 4608, 4644, 4680, 4716, 4752, 4788, 4824, 4860, 4896, 4932, 4968, 5004, 5040, 5076, 5112, 5148, 5184, 5220, 5256, 5292, 5328, 5364, 5400, 5436, 5472, 5508, 5544, 5580, 5616, 5652, 5688, 5724, 5760, 5796, 5832, 5868, 5904, 5940, 5976, 6012, 6048, 6084, 6120, 6156, 6192, 6228, 6264, 6300, 6336, 6372, 6408, 6444, 6480, 6516, 6552, 6588, 6624, 6660, 6696, 6732, 6768, 6804, 6840, 6876, 6912, 6948, 6984, 7020, 7056, 7092, 7128, 7164, 7200, 7236, 7272, 7308, 7344, 7380, 7416, 7452, 7488, 7524, 7560, 7596, 7632, 7668, 7704, 7740, 7776, 7812, 7848, 7884, 7920, 7956, 7992, 8028, 8064, 8100, 8136, 8172, 8208, 8244, 8280, 8316, 8352, 8388, 8424, 8460, 8496, 8532, 8568, 8604, 8640, 8676, 8712, 8748, 8784, 8820, 8856, 8892, 8928, 8964, 9000, 9036, 9072, 9108, 9144, 9180, 9216, 9252, 9288, 9324, 9360, 9396, 9432, 9468, 9504, 9540, 9576, 9612, 9648, 9684, 9720, 9756, 9792, 9828, 9864, 9900, 9936, 9972, 10008, 10044, 10080, 10116, 10152, 10188, 10224, 10260, 10296, 10332, 10368, 10404, 10440, 10476, 10512, 10548, 10584, 10620, 10656, 10692, 10728, 10764, 10800, 10836, 10872, 10908, 10944, 10980, 11016, 11052, 11088, 11124, 11160, 11196, 11232, 11268, 11304, 11340, 11376, 11412, 11448, 11484, 11520, 11556, 11592, 11628, 11664, 11700, 11736, 11772, 11808, 11844, 11880, 11916, 11952, 11988, 12024, 12060, 12096, 12132, 12168, 12204, 12240, 12276, 12312, 12348, 12384, 12420, 12456, 12492, 12528, 12564, 12600, 12636, 12672, 12708, 12744, 12780, 12816, 12852, 12888, 12924, 12960, 12996, 13032, 13068, 13104, 13140, 13176, 13212, 13248, 13284, 13320, 13356, 13392, 13428, 13464, 13500, 13536, 13572, 13608, 13644, 13680, 13716, 13752, 13788, 13824, 13860, 13896, 13932, 13968, 14004, 14040, 14076, 14112, 14148, 14184, 14220, 14256, 14292, 14328, 14364, 14400, 14436, 14472, 14508, 14544, 14580, 14616, 14652, 14688, 14724, 14760, 14796, 14832, 14868, 14904, 14940, 14976, 15012, 15048, 15084, 15120, 15156, 15192, 15228, 15264, 15300, 15336, 15372, 15408, 15444, 15480, 15516, 15552, 15588, 15624, 15660, 15696, 15732, 15768, 15804, 15840, 15876, 15912, 15948, 15984, 16020, 16056, 16092, 16128, 16164, 16200, 16236, 16272, 16308, 16344, 16380, 16416, 16452, 16488, 16524, 16560, 16596, 16632, 16668, 16704, 16740, 16776, 16812, 16848, 16884, 16920, 16956, 16992, 17028, 17064, 17100, 17136, 17172, 17208, 17244, 17280, 17316, 17352, 17388, 17424, 17460, 17496, 17532, 17568, 17604, 17640, 17676, 17712, 17748, 17784, 17820, 17856, 17892, 17928, 17964, 18000, 18036, 18072, 18108, 18144, 18180, 18216, 18252, 18288, 18324, 18360, 18396, 18432, 18468, 18504, 18540, 18576, 18612, 18648, 18684, 18720, 18756, 18792, 18828, 18864, 18900, 18936, 18972, 19008, 19044, 19080, 19116, 19152, 19188, 19224, 19260, 19296, 19332, 19368, 19404, 19440, 19476, 19512, 19548, 19584, 19620, 19656, 19692, 19728, 19764, 19800, 19836, 19872, 19908, 19944, 19980, 20016, 20052, 20088, 20124, 20160, 20196, 20232, 20268, 20304, 20340, 20376, 20412, 20448, 20484, 20520, 20556, 20592, 20628, 20664, 20700, 20736, 20772, 20808, 20844, 20880, 20916, 20952, 20988, 21024, 21060, 21096, 21132, 21168, 21204, 21240, 21276, 21312, 21348, 21384, 21420, 21456, 21492, 21528, 21564, 21600, 21636, 21672, 21708, 21744, 21780, 21816, 21852, 21888, 21924, 21960, 21996, 22032, 22068, 22104, 22140, 22176, 22212, 22248, 22284, 22320, 22356, 22392, 22428, 22464, 22500, 22536, 22572, 22608, 22644, 22680, 22716, 22752, 22788, 22824, 22860, 22896, 22932, 22968, 23004, 23040, 23076, 23112, 23148, 23184, 23220, 23256, 23292, 23328, 23364, 23400, 23436, 23472, 23508, 23544, 23580, 23616, 23652, 23688, 23724, 23760, 23796, 23832, 23868, 23904, 23940, 23976, 24012, 24048, 24084, 24120, 24156, 24192, 24228, 24264, 24300, 24336, 24372, 24408, 24444, 24480, 24516, 24552, 24588, 24624, 24660, 24696, 24732, 24768, 24804, 24840, 24876, 24912, 24948, 24984, 25020, 25056, 25092, 25128, 25164, 25200, 25236, 25272, 25308, 25344, 25380, 25416, 25452, 25488, 25524, 25560, 25596, 25632, 25668, 25704, 25740, 25776, 25812, 25848, 25884, 25920, 25956, 25992, 26028, 26064, 26100, 26136, 26172, 26208, 26244, 26280, 26316, 26352, 26388, 26424, 26460, 26496, 26532, 26568, 26604, 26640, 26676, 26712, 26748, 26784, 26820, 26856, 26892, 26928, 26964, 27000, 27036, 27072, 27108, 27144, 27180, 27216, 27252, 27288, 27324, 27360, 27396, 27432, 27468, 27504, 27540, 27576, 27612, 27648, 27684, 27720, 27756, 27792, 27828, 27864, 27900, 27936, 27972, 28008, 28044, 28080, 28116, 28152, 28188, 28224, 28260, 28296, 28332, 28368, 28404, 28440, 28476, 28512, 28548, 28584, 28620, 28656, 28692, 28728, 28764, 28800, 28836, 28872, 28908, 28944, 28980, 29016, 29052, 29088, 29124, 29160, 29196, 29232, 29268, 29304, 29340, 29376, 29412, 29448, 29484, 29520, 29556, 29592, 29628, 29664, 29700, 29736, 29772, 29808, 29844, 29880, 29916, 29952, 29988, 30024, 30060, 30096, 30132, 30168, 30204, 30240, 30276, 30312, 30348, 30384, 30420, 30456, 30492, 30528, 30564, 30600, 30636, 30672, 30708, 30744, 30780, 30816, 30852, 30888, 30924, 30960, 30996, 31032, 31068, 31104, 31140, 31176, 31212, 31248, 31284, 31320, 31356, 31392, 31428, 31464, 31500, 31536, 31572, 31608, 31644, 31680, 31716, 31752, 31788, 31824, 31860, 31896, 31932, 31968, 32004, 32040, 32076, 32112, 32148, 32184, 32220, 32256, 32292, 32328, 32364, 32400, 32436, 32472, 32508, 32544, 32580, 32616, 32652, 32688, 32724, 32760, 32796, 32832, 32868, 32904, 32940, 32976, 33012, 33048, 33084, 33120, 33156, 33192, 33228, 33264, 33300, 33336, 33372, 33408, 33444, 33480, 33516, 33552, 33588, 33624, 33660, 33696, 33732, 33768, 33804, 33840, 33876, 33912, 33948, 33984, 34020, 34056, 34092, 34128, 34164, 34200, 34236, 34272, 34308, 34344, 34380, 34416, 34452, 34488, 34524, 34560, 34596, 34632, 34668, 34704, 34740, 34776, 34812, 34848, 34884, 34920, 34956, 34992, 35028, 35064, 35100, 35136, 35172, 35208, 35244, 35280, 35316, 35352, 35388, 35424, 35460, 35496, 35532, 35568, 35604, 35640, 35676, 35712, 35748, 35784, 35820, 35856, 35892, 35928, 35964, 36000, [...], 36

So the LCM for 18 and 36 is 36

Another method to find LCM for numbers 18 and 36 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors: