LCM for 39 and 78

What's the Least Common Multiple (LCM) of 39 and 78?

Answer: LCM of 39 and 78 is 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

Number 1Number 2LCM
2478312
25781950
2678
2778702
28781092
29782262
3078390
31782418
32781248
3378858
34781326
35782730
3678468
37782886
38781482
3978
40781560
41783198
4278546
43783354
44781716
45781170
46781794
47783666
4878624
49783822
50781950
51781326
5278
53784134

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 39 and 78? (The answer is: 78). Select the first number (e.g. '39') and the second number (e.g. '78'). After that hit the 'Calculate' button.
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

FAQ

What's the Least Common Multiple (LCM) of 39 and 78?

LCM of 39 and 78 is 78