LCM for 19 and 38

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

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

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: