LCM for 19 and 38

What's the Least Common Multiple (LCM) of 19 and 38?

Answer: LCM of 19 and 38 is 38

(Thirty-eight)

Finding LCM for 19 and 38 using GCF's of these numbers

The first method to find LCM for numbers 19 and 38 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 19 and 38 is 19, so

LCM = (19 × 38) ÷ 19

LCM = 722 ÷ 19

LCM = 38

Finding LCM for 19 and 38 by Listing Multiples

The second method to find LCM for numbers 19 and 38 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 19: 19, 38, 57, 76

Multiples of 38: 38, 76, 114, 152, 190, 228, 266, 304, 342, 380, 418, 456, 494, 532, 570, 608, 646, 684, 722, 760, 798, 836, 874, 912, 950, 988, 1026, 1064, 1102, 1140, 1178, 1216, 1254, 1292, 1330, 1368, 1406, 1444, 1482, 1520, 1558, 1596, 1634, 1672, 1710, 1748, 1786, 1824, 1862, 1900, 1938, 1976, 2014, 2052, 2090, 2128, 2166, 2204, 2242, 2280, 2318, 2356, 2394, 2432, 2470, 2508, 2546, 2584, 2622, 2660, 2698, 2736, 2774, 2812, 2850, 2888, 2926, 2964, 3002, 3040, 3078, 3116, 3154, 3192, 3230, 3268, 3306, 3344, 3382, 3420, 3458, 3496, 3534, 3572, 3610, 3648, 3686, 3724, 3762, 3800, 3838, 3876, 3914, 3952, 3990, 4028, 4066, 4104, 4142, 4180, 4218, 4256, 4294, 4332, 4370, 4408, 4446, 4484, 4522, 4560, 4598, 4636, 4674, 4712, 4750, 4788, 4826, 4864, 4902, 4940, 4978, 5016, 5054, 5092, 5130, 5168, 5206, 5244, 5282, 5320, 5358, 5396, 5434, 5472, 5510, 5548, 5586, 5624, 5662, 5700, 5738, 5776, 5814, 5852, 5890, 5928, 5966, 6004, 6042, 6080, 6118, 6156, 6194, 6232, 6270, 6308, 6346, 6384, 6422, 6460, 6498, 6536, 6574, 6612, 6650, 6688, 6726, 6764, 6802, 6840, 6878, 6916, 6954, 6992, 7030, 7068, 7106, 7144, 7182, 7220, 7258, 7296, 7334, 7372, 7410, 7448, 7486, 7524, 7562, 7600, 7638, 7676, 7714, 7752, 7790, 7828, 7866, 7904, 7942, 7980, 8018, 8056, 8094, 8132, 8170, 8208, 8246, 8284, 8322, 8360, 8398, 8436, 8474, 8512, 8550, 8588, 8626, 8664, 8702, 8740, 8778, 8816, 8854, 8892, 8930, 8968, 9006, 9044, 9082, 9120, 9158, 9196, 9234, 9272, 9310, 9348, 9386, 9424, 9462, 9500, 9538, 9576, 9614, 9652, 9690, 9728, 9766, 9804, 9842, 9880, 9918, 9956, 9994, 10032, 10070, 10108, 10146, 10184, 10222, 10260, 10298, 10336, 10374, 10412, 10450, 10488, 10526, 10564, 10602, 10640, 10678, 10716, 10754, 10792, 10830, 10868, 10906, 10944, 10982, 11020, 11058, 11096, 11134, 11172, 11210, 11248, 11286, 11324, 11362, 11400, 11438, 11476, 11514, 11552, 11590, 11628, 11666, 11704, 11742, 11780, 11818, 11856, 11894, 11932, 11970, 12008, 12046, 12084, 12122, 12160, 12198, 12236, 12274, 12312, 12350, 12388, 12426, 12464, 12502, 12540, 12578, 12616, 12654, 12692, 12730, 12768, 12806, 12844, 12882, 12920, 12958, 12996, 13034, 13072, 13110, 13148, 13186, 13224, 13262, 13300, 13338, 13376, 13414, 13452, 13490, 13528, 13566, 13604, 13642, 13680, 13718, 13756, 13794, 13832, 13870, 13908, 13946, 13984, 14022, 14060, 14098, 14136, 14174, 14212, 14250, 14288, 14326, 14364, 14402, 14440, 14478, 14516, 14554, 14592, 14630, 14668, 14706, 14744, 14782, 14820, 14858, 14896, 14934, 14972, 15010, 15048, 15086, 15124, 15162, 15200, 15238, 15276, 15314, 15352, 15390, 15428, 15466, 15504, 15542, 15580, 15618, 15656, 15694, 15732, 15770, 15808, 15846, 15884, 15922, 15960, 15998, 16036, 16074, 16112, 16150, 16188, 16226, 16264, 16302, 16340, 16378, 16416, 16454, 16492, 16530, 16568, 16606, 16644, 16682, 16720, 16758, 16796, 16834, 16872, 16910, 16948, 16986, 17024, 17062, 17100, 17138, 17176, 17214, 17252, 17290, 17328, 17366, 17404, 17442, 17480, 17518, 17556, 17594, 17632, 17670, 17708, 17746, 17784, 17822, 17860, 17898, 17936, 17974, 18012, 18050, 18088, 18126, 18164, 18202, 18240, 18278, 18316, 18354, 18392, 18430, 18468, 18506, 18544, 18582, 18620, 18658, 18696, 18734, 18772, 18810, 18848, 18886, 18924, 18962, 19000, 19038, 19076, 19114, 19152, 19190, 19228, 19266, 19304, 19342, 19380, 19418, 19456, 19494, 19532, 19570, 19608, 19646, 19684, 19722, 19760, 19798, 19836, 19874, 19912, 19950, 19988, 20026, 20064, 20102, 20140, 20178, 20216, 20254, 20292, 20330, 20368, 20406, 20444, 20482, 20520, 20558, 20596, 20634, 20672, 20710, 20748, 20786, 20824, 20862, 20900, 20938, 20976, 21014, 21052, 21090, 21128, 21166, 21204, 21242, 21280, 21318, 21356, 21394, 21432, 21470, 21508, 21546, 21584, 21622, 21660, 21698, 21736, 21774, 21812, 21850, 21888, 21926, 21964, 22002, 22040, 22078, 22116, 22154, 22192, 22230, 22268, 22306, 22344, 22382, 22420, 22458, 22496, 22534, 22572, 22610, 22648, 22686, 22724, 22762, 22800, 22838, 22876, 22914, 22952, 22990, 23028, 23066, 23104, 23142, 23180, 23218, 23256, 23294, 23332, 23370, 23408, 23446, 23484, 23522, 23560, 23598, 23636, 23674, 23712, 23750, 23788, 23826, 23864, 23902, 23940, 23978, 24016, 24054, 24092, 24130, 24168, 24206, 24244, 24282, 24320, 24358, 24396, 24434, 24472, 24510, 24548, 24586, 24624, 24662, 24700, 24738, 24776, 24814, 24852, 24890, 24928, 24966, 25004, 25042, 25080, 25118, 25156, 25194, 25232, 25270, 25308, 25346, 25384, 25422, 25460, 25498, 25536, 25574, 25612, 25650, 25688, 25726, 25764, 25802, 25840, 25878, 25916, 25954, 25992, 26030, 26068, 26106, 26144, 26182, 26220, 26258, 26296, 26334, 26372, 26410, 26448, 26486, 26524, 26562, 26600, 26638, 26676, 26714, 26752, 26790, 26828, 26866, 26904, 26942, 26980, 27018, 27056, 27094, 27132, 27170, 27208, 27246, 27284, 27322, 27360, 27398, 27436, 27474, 27512, 27550, 27588, 27626, 27664, 27702, 27740, 27778, 27816, 27854, 27892, 27930, 27968, 28006, 28044, 28082, 28120, 28158, 28196, 28234, 28272, 28310, 28348, 28386, 28424, 28462, 28500, 28538, 28576, 28614, 28652, 28690, 28728, 28766, 28804, 28842, 28880, 28918, 28956, 28994, 29032, 29070, 29108, 29146, 29184, 29222, 29260, 29298, 29336, 29374, 29412, 29450, 29488, 29526, 29564, 29602, 29640, 29678, 29716, 29754, 29792, 29830, 29868, 29906, 29944, 29982, 30020, 30058, 30096, 30134, 30172, 30210, 30248, 30286, 30324, 30362, 30400, 30438, 30476, 30514, 30552, 30590, 30628, 30666, 30704, 30742, 30780, 30818, 30856, 30894, 30932, 30970, 31008, 31046, 31084, 31122, 31160, 31198, 31236, 31274, 31312, 31350, 31388, 31426, 31464, 31502, 31540, 31578, 31616, 31654, 31692, 31730, 31768, 31806, 31844, 31882, 31920, 31958, 31996, 32034, 32072, 32110, 32148, 32186, 32224, 32262, 32300, 32338, 32376, 32414, 32452, 32490, 32528, 32566, 32604, 32642, 32680, 32718, 32756, 32794, 32832, 32870, 32908, 32946, 32984, 33022, 33060, 33098, 33136, 33174, 33212, 33250, 33288, 33326, 33364, 33402, 33440, 33478, 33516, 33554, 33592, 33630, 33668, 33706, 33744, 33782, 33820, 33858, 33896, 33934, 33972, 34010, 34048, 34086, 34124, 34162, 34200, 34238, 34276, 34314, 34352, 34390, 34428, 34466, 34504, 34542, 34580, 34618, 34656, 34694, 34732, 34770, 34808, 34846, 34884, 34922, 34960, 34998, 35036, 35074, 35112, 35150, 35188, 35226, 35264, 35302, 35340, 35378, 35416, 35454, 35492, 35530, 35568, 35606, 35644, 35682, 35720, 35758, 35796, 35834, 35872, 35910, 35948, 35986, 36024, 36062, 36100, 36138, 36176, 36214, 36252, 36290, 36328, 36366, 36404, 36442, 36480, 36518, 36556, 36594, 36632, 36670, 36708, 36746, 36784, 36822, 36860, 36898, 36936, 36974, 37012, 37050, 37088, 37126, 37164, 37202, 37240, 37278, 37316, 37354, 37392, 37430, 37468, 37506, 37544, 37582, 37620, 37658, 37696, 37734, 37772, 37810, 37848, 37886, 37924, 37962, 38000, [...], 38

So the LCM for 19 and 38 is 38

Finding LCM for 19 and 38 by Prime Factorization

Another method to find LCM for numbers 19 and 38 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 19: 19 (exponent form: 191)

All Prime Factors of 38: 2, 19 (exponent form: 21, 191)

191 × 21 = 38

LCM Table

Number 1Number 2LCM
43876
538190
638114
738266
838152
938342
1038190
1138418
1238228
1338494
1438266
1538570
1638304
1738646
1838
1938
2038380
2138798
2238418
2338874
2438456
2538950
2638494
27381026
2838532
29381102
3038570
31381178
3238608
33381254

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 19 and 38? (The answer is: 38). Select the first number (e.g. '19') and the second number (e.g. '38'). 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 19 and 38?

LCM of 19 and 38 is 38