LCM for 27 and 54

The first method to find LCM for numbers 27 and 54 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 27 and 54 is 27, so

LCM = (27 × 54) ÷ 27

LCM = 1458 ÷ 27

LCM = 54

The second method to find LCM for numbers 27 and 54 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 27: 27, 54, 81, 108

Multiples of 54: 54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702, 756, 810, 864, 918, 972, 1026, 1080, 1134, 1188, 1242, 1296, 1350, 1404, 1458, 1512, 1566, 1620, 1674, 1728, 1782, 1836, 1890, 1944, 1998, 2052, 2106, 2160, 2214, 2268, 2322, 2376, 2430, 2484, 2538, 2592, 2646, 2700, 2754, 2808, 2862, 2916, 2970, 3024, 3078, 3132, 3186, 3240, 3294, 3348, 3402, 3456, 3510, 3564, 3618, 3672, 3726, 3780, 3834, 3888, 3942, 3996, 4050, 4104, 4158, 4212, 4266, 4320, 4374, 4428, 4482, 4536, 4590, 4644, 4698, 4752, 4806, 4860, 4914, 4968, 5022, 5076, 5130, 5184, 5238, 5292, 5346, 5400, 5454, 5508, 5562, 5616, 5670, 5724, 5778, 5832, 5886, 5940, 5994, 6048, 6102, 6156, 6210, 6264, 6318, 6372, 6426, 6480, 6534, 6588, 6642, 6696, 6750, 6804, 6858, 6912, 6966, 7020, 7074, 7128, 7182, 7236, 7290, 7344, 7398, 7452, 7506, 7560, 7614, 7668, 7722, 7776, 7830, 7884, 7938, 7992, 8046, 8100, 8154, 8208, 8262, 8316, 8370, 8424, 8478, 8532, 8586, 8640, 8694, 8748, 8802, 8856, 8910, 8964, 9018, 9072, 9126, 9180, 9234, 9288, 9342, 9396, 9450, 9504, 9558, 9612, 9666, 9720, 9774, 9828, 9882, 9936, 9990, 10044, 10098, 10152, 10206, 10260, 10314, 10368, 10422, 10476, 10530, 10584, 10638, 10692, 10746, 10800, 10854, 10908, 10962, 11016, 11070, 11124, 11178, 11232, 11286, 11340, 11394, 11448, 11502, 11556, 11610, 11664, 11718, 11772, 11826, 11880, 11934, 11988, 12042, 12096, 12150, 12204, 12258, 12312, 12366, 12420, 12474, 12528, 12582, 12636, 12690, 12744, 12798, 12852, 12906, 12960, 13014, 13068, 13122, 13176, 13230, 13284, 13338, 13392, 13446, 13500, 13554, 13608, 13662, 13716, 13770, 13824, 13878, 13932, 13986, 14040, 14094, 14148, 14202, 14256, 14310, 14364, 14418, 14472, 14526, 14580, 14634, 14688, 14742, 14796, 14850, 14904, 14958, 15012, 15066, 15120, 15174, 15228, 15282, 15336, 15390, 15444, 15498, 15552, 15606, 15660, 15714, 15768, 15822, 15876, 15930, 15984, 16038, 16092, 16146, 16200, 16254, 16308, 16362, 16416, 16470, 16524, 16578, 16632, 16686, 16740, 16794, 16848, 16902, 16956, 17010, 17064, 17118, 17172, 17226, 17280, 17334, 17388, 17442, 17496, 17550, 17604, 17658, 17712, 17766, 17820, 17874, 17928, 17982, 18036, 18090, 18144, 18198, 18252, 18306, 18360, 18414, 18468, 18522, 18576, 18630, 18684, 18738, 18792, 18846, 18900, 18954, 19008, 19062, 19116, 19170, 19224, 19278, 19332, 19386, 19440, 19494, 19548, 19602, 19656, 19710, 19764, 19818, 19872, 19926, 19980, 20034, 20088, 20142, 20196, 20250, 20304, 20358, 20412, 20466, 20520, 20574, 20628, 20682, 20736, 20790, 20844, 20898, 20952, 21006, 21060, 21114, 21168, 21222, 21276, 21330, 21384, 21438, 21492, 21546, 21600, 21654, 21708, 21762, 21816, 21870, 21924, 21978, 22032, 22086, 22140, 22194, 22248, 22302, 22356, 22410, 22464, 22518, 22572, 22626, 22680, 22734, 22788, 22842, 22896, 22950, 23004, 23058, 23112, 23166, 23220, 23274, 23328, 23382, 23436, 23490, 23544, 23598, 23652, 23706, 23760, 23814, 23868, 23922, 23976, 24030, 24084, 24138, 24192, 24246, 24300, 24354, 24408, 24462, 24516, 24570, 24624, 24678, 24732, 24786, 24840, 24894, 24948, 25002, 25056, 25110, 25164, 25218, 25272, 25326, 25380, 25434, 25488, 25542, 25596, 25650, 25704, 25758, 25812, 25866, 25920, 25974, 26028, 26082, 26136, 26190, 26244, 26298, 26352, 26406, 26460, 26514, 26568, 26622, 26676, 26730, 26784, 26838, 26892, 26946, 27000, 27054, 27108, 27162, 27216, 27270, 27324, 27378, 27432, 27486, 27540, 27594, 27648, 27702, 27756, 27810, 27864, 27918, 27972, 28026, 28080, 28134, 28188, 28242, 28296, 28350, 28404, 28458, 28512, 28566, 28620, 28674, 28728, 28782, 28836, 28890, 28944, 28998, 29052, 29106, 29160, 29214, 29268, 29322, 29376, 29430, 29484, 29538, 29592, 29646, 29700, 29754, 29808, 29862, 29916, 29970, 30024, 30078, 30132, 30186, 30240, 30294, 30348, 30402, 30456, 30510, 30564, 30618, 30672, 30726, 30780, 30834, 30888, 30942, 30996, 31050, 31104, 31158, 31212, 31266, 31320, 31374, 31428, 31482, 31536, 31590, 31644, 31698, 31752, 31806, 31860, 31914, 31968, 32022, 32076, 32130, 32184, 32238, 32292, 32346, 32400, 32454, 32508, 32562, 32616, 32670, 32724, 32778, 32832, 32886, 32940, 32994, 33048, 33102, 33156, 33210, 33264, 33318, 33372, 33426, 33480, 33534, 33588, 33642, 33696, 33750, 33804, 33858, 33912, 33966, 34020, 34074, 34128, 34182, 34236, 34290, 34344, 34398, 34452, 34506, 34560, 34614, 34668, 34722, 34776, 34830, 34884, 34938, 34992, 35046, 35100, 35154, 35208, 35262, 35316, 35370, 35424, 35478, 35532, 35586, 35640, 35694, 35748, 35802, 35856, 35910, 35964, 36018, 36072, 36126, 36180, 36234, 36288, 36342, 36396, 36450, 36504, 36558, 36612, 36666, 36720, 36774, 36828, 36882, 36936, 36990, 37044, 37098, 37152, 37206, 37260, 37314, 37368, 37422, 37476, 37530, 37584, 37638, 37692, 37746, 37800, 37854, 37908, 37962, 38016, 38070, 38124, 38178, 38232, 38286, 38340, 38394, 38448, 38502, 38556, 38610, 38664, 38718, 38772, 38826, 38880, 38934, 38988, 39042, 39096, 39150, 39204, 39258, 39312, 39366, 39420, 39474, 39528, 39582, 39636, 39690, 39744, 39798, 39852, 39906, 39960, 40014, 40068, 40122, 40176, 40230, 40284, 40338, 40392, 40446, 40500, 40554, 40608, 40662, 40716, 40770, 40824, 40878, 40932, 40986, 41040, 41094, 41148, 41202, 41256, 41310, 41364, 41418, 41472, 41526, 41580, 41634, 41688, 41742, 41796, 41850, 41904, 41958, 42012, 42066, 42120, 42174, 42228, 42282, 42336, 42390, 42444, 42498, 42552, 42606, 42660, 42714, 42768, 42822, 42876, 42930, 42984, 43038, 43092, 43146, 43200, 43254, 43308, 43362, 43416, 43470, 43524, 43578, 43632, 43686, 43740, 43794, 43848, 43902, 43956, 44010, 44064, 44118, 44172, 44226, 44280, 44334, 44388, 44442, 44496, 44550, 44604, 44658, 44712, 44766, 44820, 44874, 44928, 44982, 45036, 45090, 45144, 45198, 45252, 45306, 45360, 45414, 45468, 45522, 45576, 45630, 45684, 45738, 45792, 45846, 45900, 45954, 46008, 46062, 46116, 46170, 46224, 46278, 46332, 46386, 46440, 46494, 46548, 46602, 46656, 46710, 46764, 46818, 46872, 46926, 46980, 47034, 47088, 47142, 47196, 47250, 47304, 47358, 47412, 47466, 47520, 47574, 47628, 47682, 47736, 47790, 47844, 47898, 47952, 48006, 48060, 48114, 48168, 48222, 48276, 48330, 48384, 48438, 48492, 48546, 48600, 48654, 48708, 48762, 48816, 48870, 48924, 48978, 49032, 49086, 49140, 49194, 49248, 49302, 49356, 49410, 49464, 49518, 49572, 49626, 49680, 49734, 49788, 49842, 49896, 49950, 50004, 50058, 50112, 50166, 50220, 50274, 50328, 50382, 50436, 50490, 50544, 50598, 50652, 50706, 50760, 50814, 50868, 50922, 50976, 51030, 51084, 51138, 51192, 51246, 51300, 51354, 51408, 51462, 51516, 51570, 51624, 51678, 51732, 51786, 51840, 51894, 51948, 52002, 52056, 52110, 52164, 52218, 52272, 52326, 52380, 52434, 52488, 52542, 52596, 52650, 52704, 52758, 52812, 52866, 52920, 52974, 53028, 53082, 53136, 53190, 53244, 53298, 53352, 53406, 53460, 53514, 53568, 53622, 53676, 53730, 53784, 53838, 53892, 53946, 54000, [...], 54

So the LCM for 27 and 54 is 54

Another method to find LCM for numbers 27 and 54 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors: