LCM for 39 and 78
What's the Least Common Multiple (LCM) of 39 and 78?
(Seventy-eight)
Finding LCM for 39 and 78 using GCF's of these numbers
The first method to find LCM for numbers 39 and 78 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 39 and 78 is 39, so
LCM = (39 × 78) ÷ 39
LCM = 3042 ÷ 39
LCM = 78
Finding LCM for 39 and 78 by Listing Multiples
The second method to find LCM for numbers 39 and 78 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 39: 39, 78, 117, 156
Multiples of 78: 78, 156, 234, 312, 390, 468, 546, 624, 702, 780, 858, 936, 1014, 1092, 1170, 1248, 1326, 1404, 1482, 1560, 1638, 1716, 1794, 1872, 1950, 2028, 2106, 2184, 2262, 2340, 2418, 2496, 2574, 2652, 2730, 2808, 2886, 2964, 3042, 3120, 3198, 3276, 3354, 3432, 3510, 3588, 3666, 3744, 3822, 3900, 3978, 4056, 4134, 4212, 4290, 4368, 4446, 4524, 4602, 4680, 4758, 4836, 4914, 4992, 5070, 5148, 5226, 5304, 5382, 5460, 5538, 5616, 5694, 5772, 5850, 5928, 6006, 6084, 6162, 6240, 6318, 6396, 6474, 6552, 6630, 6708, 6786, 6864, 6942, 7020, 7098, 7176, 7254, 7332, 7410, 7488, 7566, 7644, 7722, 7800, 7878, 7956, 8034, 8112, 8190, 8268, 8346, 8424, 8502, 8580, 8658, 8736, 8814, 8892, 8970, 9048, 9126, 9204, 9282, 9360, 9438, 9516, 9594, 9672, 9750, 9828, 9906, 9984, 10062, 10140, 10218, 10296, 10374, 10452, 10530, 10608, 10686, 10764, 10842, 10920, 10998, 11076, 11154, 11232, 11310, 11388, 11466, 11544, 11622, 11700, 11778, 11856, 11934, 12012, 12090, 12168, 12246, 12324, 12402, 12480, 12558, 12636, 12714, 12792, 12870, 12948, 13026, 13104, 13182, 13260, 13338, 13416, 13494, 13572, 13650, 13728, 13806, 13884, 13962, 14040, 14118, 14196, 14274, 14352, 14430, 14508, 14586, 14664, 14742, 14820, 14898, 14976, 15054, 15132, 15210, 15288, 15366, 15444, 15522, 15600, 15678, 15756, 15834, 15912, 15990, 16068, 16146, 16224, 16302, 16380, 16458, 16536, 16614, 16692, 16770, 16848, 16926, 17004, 17082, 17160, 17238, 17316, 17394, 17472, 17550, 17628, 17706, 17784, 17862, 17940, 18018, 18096, 18174, 18252, 18330, 18408, 18486, 18564, 18642, 18720, 18798, 18876, 18954, 19032, 19110, 19188, 19266, 19344, 19422, 19500, 19578, 19656, 19734, 19812, 19890, 19968, 20046, 20124, 20202, 20280, 20358, 20436, 20514, 20592, 20670, 20748, 20826, 20904, 20982, 21060, 21138, 21216, 21294, 21372, 21450, 21528, 21606, 21684, 21762, 21840, 21918, 21996, 22074, 22152, 22230, 22308, 22386, 22464, 22542, 22620, 22698, 22776, 22854, 22932, 23010, 23088, 23166, 23244, 23322, 23400, 23478, 23556, 23634, 23712, 23790, 23868, 23946, 24024, 24102, 24180, 24258, 24336, 24414, 24492, 24570, 24648, 24726, 24804, 24882, 24960, 25038, 25116, 25194, 25272, 25350, 25428, 25506, 25584, 25662, 25740, 25818, 25896, 25974, 26052, 26130, 26208, 26286, 26364, 26442, 26520, 26598, 26676, 26754, 26832, 26910, 26988, 27066, 27144, 27222, 27300, 27378, 27456, 27534, 27612, 27690, 27768, 27846, 27924, 28002, 28080, 28158, 28236, 28314, 28392, 28470, 28548, 28626, 28704, 28782, 28860, 28938, 29016, 29094, 29172, 29250, 29328, 29406, 29484, 29562, 29640, 29718, 29796, 29874, 29952, 30030, 30108, 30186, 30264, 30342, 30420, 30498, 30576, 30654, 30732, 30810, 30888, 30966, 31044, 31122, 31200, 31278, 31356, 31434, 31512, 31590, 31668, 31746, 31824, 31902, 31980, 32058, 32136, 32214, 32292, 32370, 32448, 32526, 32604, 32682, 32760, 32838, 32916, 32994, 33072, 33150, 33228, 33306, 33384, 33462, 33540, 33618, 33696, 33774, 33852, 33930, 34008, 34086, 34164, 34242, 34320, 34398, 34476, 34554, 34632, 34710, 34788, 34866, 34944, 35022, 35100, 35178, 35256, 35334, 35412, 35490, 35568, 35646, 35724, 35802, 35880, 35958, 36036, 36114, 36192, 36270, 36348, 36426, 36504, 36582, 36660, 36738, 36816, 36894, 36972, 37050, 37128, 37206, 37284, 37362, 37440, 37518, 37596, 37674, 37752, 37830, 37908, 37986, 38064, 38142, 38220, 38298, 38376, 38454, 38532, 38610, 38688, 38766, 38844, 38922, 39000, 39078, 39156, 39234, 39312, 39390, 39468, 39546, 39624, 39702, 39780, 39858, 39936, 40014, 40092, 40170, 40248, 40326, 40404, 40482, 40560, 40638, 40716, 40794, 40872, 40950, 41028, 41106, 41184, 41262, 41340, 41418, 41496, 41574, 41652, 41730, 41808, 41886, 41964, 42042, 42120, 42198, 42276, 42354, 42432, 42510, 42588, 42666, 42744, 42822, 42900, 42978, 43056, 43134, 43212, 43290, 43368, 43446, 43524, 43602, 43680, 43758, 43836, 43914, 43992, 44070, 44148, 44226, 44304, 44382, 44460, 44538, 44616, 44694, 44772, 44850, 44928, 45006, 45084, 45162, 45240, 45318, 45396, 45474, 45552, 45630, 45708, 45786, 45864, 45942, 46020, 46098, 46176, 46254, 46332, 46410, 46488, 46566, 46644, 46722, 46800, 46878, 46956, 47034, 47112, 47190, 47268, 47346, 47424, 47502, 47580, 47658, 47736, 47814, 47892, 47970, 48048, 48126, 48204, 48282, 48360, 48438, 48516, 48594, 48672, 48750, 48828, 48906, 48984, 49062, 49140, 49218, 49296, 49374, 49452, 49530, 49608, 49686, 49764, 49842, 49920, 49998, 50076, 50154, 50232, 50310, 50388, 50466, 50544, 50622, 50700, 50778, 50856, 50934, 51012, 51090, 51168, 51246, 51324, 51402, 51480, 51558, 51636, 51714, 51792, 51870, 51948, 52026, 52104, 52182, 52260, 52338, 52416, 52494, 52572, 52650, 52728, 52806, 52884, 52962, 53040, 53118, 53196, 53274, 53352, 53430, 53508, 53586, 53664, 53742, 53820, 53898, 53976, 54054, 54132, 54210, 54288, 54366, 54444, 54522, 54600, 54678, 54756, 54834, 54912, 54990, 55068, 55146, 55224, 55302, 55380, 55458, 55536, 55614, 55692, 55770, 55848, 55926, 56004, 56082, 56160, 56238, 56316, 56394, 56472, 56550, 56628, 56706, 56784, 56862, 56940, 57018, 57096, 57174, 57252, 57330, 57408, 57486, 57564, 57642, 57720, 57798, 57876, 57954, 58032, 58110, 58188, 58266, 58344, 58422, 58500, 58578, 58656, 58734, 58812, 58890, 58968, 59046, 59124, 59202, 59280, 59358, 59436, 59514, 59592, 59670, 59748, 59826, 59904, 59982, 60060, 60138, 60216, 60294, 60372, 60450, 60528, 60606, 60684, 60762, 60840, 60918, 60996, 61074, 61152, 61230, 61308, 61386, 61464, 61542, 61620, 61698, 61776, 61854, 61932, 62010, 62088, 62166, 62244, 62322, 62400, 62478, 62556, 62634, 62712, 62790, 62868, 62946, 63024, 63102, 63180, 63258, 63336, 63414, 63492, 63570, 63648, 63726, 63804, 63882, 63960, 64038, 64116, 64194, 64272, 64350, 64428, 64506, 64584, 64662, 64740, 64818, 64896, 64974, 65052, 65130, 65208, 65286, 65364, 65442, 65520, 65598, 65676, 65754, 65832, 65910, 65988, 66066, 66144, 66222, 66300, 66378, 66456, 66534, 66612, 66690, 66768, 66846, 66924, 67002, 67080, 67158, 67236, 67314, 67392, 67470, 67548, 67626, 67704, 67782, 67860, 67938, 68016, 68094, 68172, 68250, 68328, 68406, 68484, 68562, 68640, 68718, 68796, 68874, 68952, 69030, 69108, 69186, 69264, 69342, 69420, 69498, 69576, 69654, 69732, 69810, 69888, 69966, 70044, 70122, 70200, 70278, 70356, 70434, 70512, 70590, 70668, 70746, 70824, 70902, 70980, 71058, 71136, 71214, 71292, 71370, 71448, 71526, 71604, 71682, 71760, 71838, 71916, 71994, 72072, 72150, 72228, 72306, 72384, 72462, 72540, 72618, 72696, 72774, 72852, 72930, 73008, 73086, 73164, 73242, 73320, 73398, 73476, 73554, 73632, 73710, 73788, 73866, 73944, 74022, 74100, 74178, 74256, 74334, 74412, 74490, 74568, 74646, 74724, 74802, 74880, 74958, 75036, 75114, 75192, 75270, 75348, 75426, 75504, 75582, 75660, 75738, 75816, 75894, 75972, 76050, 76128, 76206, 76284, 76362, 76440, 76518, 76596, 76674, 76752, 76830, 76908, 76986, 77064, 77142, 77220, 77298, 77376, 77454, 77532, 77610, 77688, 77766, 77844, 77922, 78000, [...], 78
So the LCM for 39 and 78 is 78
Finding LCM for 39 and 78 by Prime Factorization
Another method to find LCM for numbers 39 and 78 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 39: 3, 13 (exponent form: 31, 131)
All Prime Factors of 78: 2, 3, 13 (exponent form: 21, 31, 131)
31 × 131 × 21 = 78
Related Calculations
LCM Table
About "Least Common Multiple" Calculator
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