LCM for 71 and 142
What's the Least Common Multiple (LCM) of 71 and 142?
(One hundred forty-two)
Finding LCM for 71 and 142 using GCF's of these numbers
The first method to find LCM for numbers 71 and 142 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 71 and 142 is 71, so
LCM = (71 × 142) ÷ 71
LCM = 10082 ÷ 71
LCM = 142
Finding LCM for 71 and 142 by Listing Multiples
The second method to find LCM for numbers 71 and 142 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 71: 71, 142, 213, 284
Multiples of 142: 142, 284, 426, 568, 710, 852, 994, 1136, 1278, 1420, 1562, 1704, 1846, 1988, 2130, 2272, 2414, 2556, 2698, 2840, 2982, 3124, 3266, 3408, 3550, 3692, 3834, 3976, 4118, 4260, 4402, 4544, 4686, 4828, 4970, 5112, 5254, 5396, 5538, 5680, 5822, 5964, 6106, 6248, 6390, 6532, 6674, 6816, 6958, 7100, 7242, 7384, 7526, 7668, 7810, 7952, 8094, 8236, 8378, 8520, 8662, 8804, 8946, 9088, 9230, 9372, 9514, 9656, 9798, 9940, 10082, 10224, 10366, 10508, 10650, 10792, 10934, 11076, 11218, 11360, 11502, 11644, 11786, 11928, 12070, 12212, 12354, 12496, 12638, 12780, 12922, 13064, 13206, 13348, 13490, 13632, 13774, 13916, 14058, 14200, 14342, 14484, 14626, 14768, 14910, 15052, 15194, 15336, 15478, 15620, 15762, 15904, 16046, 16188, 16330, 16472, 16614, 16756, 16898, 17040, 17182, 17324, 17466, 17608, 17750, 17892, 18034, 18176, 18318, 18460, 18602, 18744, 18886, 19028, 19170, 19312, 19454, 19596, 19738, 19880, 20022, 20164, 20306, 20448, 20590, 20732, 20874, 21016, 21158, 21300, 21442, 21584, 21726, 21868, 22010, 22152, 22294, 22436, 22578, 22720, 22862, 23004, 23146, 23288, 23430, 23572, 23714, 23856, 23998, 24140, 24282, 24424, 24566, 24708, 24850, 24992, 25134, 25276, 25418, 25560, 25702, 25844, 25986, 26128, 26270, 26412, 26554, 26696, 26838, 26980, 27122, 27264, 27406, 27548, 27690, 27832, 27974, 28116, 28258, 28400, 28542, 28684, 28826, 28968, 29110, 29252, 29394, 29536, 29678, 29820, 29962, 30104, 30246, 30388, 30530, 30672, 30814, 30956, 31098, 31240, 31382, 31524, 31666, 31808, 31950, 32092, 32234, 32376, 32518, 32660, 32802, 32944, 33086, 33228, 33370, 33512, 33654, 33796, 33938, 34080, 34222, 34364, 34506, 34648, 34790, 34932, 35074, 35216, 35358, 35500, 35642, 35784, 35926, 36068, 36210, 36352, 36494, 36636, 36778, 36920, 37062, 37204, 37346, 37488, 37630, 37772, 37914, 38056, 38198, 38340, 38482, 38624, 38766, 38908, 39050, 39192, 39334, 39476, 39618, 39760, 39902, 40044, 40186, 40328, 40470, 40612, 40754, 40896, 41038, 41180, 41322, 41464, 41606, 41748, 41890, 42032, 42174, 42316, 42458, 42600, 42742, 42884, 43026, 43168, 43310, 43452, 43594, 43736, 43878, 44020, 44162, 44304, 44446, 44588, 44730, 44872, 45014, 45156, 45298, 45440, 45582, 45724, 45866, 46008, 46150, 46292, 46434, 46576, 46718, 46860, 47002, 47144, 47286, 47428, 47570, 47712, 47854, 47996, 48138, 48280, 48422, 48564, 48706, 48848, 48990, 49132, 49274, 49416, 49558, 49700, 49842, 49984, 50126, 50268, 50410, 50552, 50694, 50836, 50978, 51120, 51262, 51404, 51546, 51688, 51830, 51972, 52114, 52256, 52398, 52540, 52682, 52824, 52966, 53108, 53250, 53392, 53534, 53676, 53818, 53960, 54102, 54244, 54386, 54528, 54670, 54812, 54954, 55096, 55238, 55380, 55522, 55664, 55806, 55948, 56090, 56232, 56374, 56516, 56658, 56800, 56942, 57084, 57226, 57368, 57510, 57652, 57794, 57936, 58078, 58220, 58362, 58504, 58646, 58788, 58930, 59072, 59214, 59356, 59498, 59640, 59782, 59924, 60066, 60208, 60350, 60492, 60634, 60776, 60918, 61060, 61202, 61344, 61486, 61628, 61770, 61912, 62054, 62196, 62338, 62480, 62622, 62764, 62906, 63048, 63190, 63332, 63474, 63616, 63758, 63900, 64042, 64184, 64326, 64468, 64610, 64752, 64894, 65036, 65178, 65320, 65462, 65604, 65746, 65888, 66030, 66172, 66314, 66456, 66598, 66740, 66882, 67024, 67166, 67308, 67450, 67592, 67734, 67876, 68018, 68160, 68302, 68444, 68586, 68728, 68870, 69012, 69154, 69296, 69438, 69580, 69722, 69864, 70006, 70148, 70290, 70432, 70574, 70716, 70858, 71000, 71142, 71284, 71426, 71568, 71710, 71852, 71994, 72136, 72278, 72420, 72562, 72704, 72846, 72988, 73130, 73272, 73414, 73556, 73698, 73840, 73982, 74124, 74266, 74408, 74550, 74692, 74834, 74976, 75118, 75260, 75402, 75544, 75686, 75828, 75970, 76112, 76254, 76396, 76538, 76680, 76822, 76964, 77106, 77248, 77390, 77532, 77674, 77816, 77958, 78100, 78242, 78384, 78526, 78668, 78810, 78952, 79094, 79236, 79378, 79520, 79662, 79804, 79946, 80088, 80230, 80372, 80514, 80656, 80798, 80940, 81082, 81224, 81366, 81508, 81650, 81792, 81934, 82076, 82218, 82360, 82502, 82644, 82786, 82928, 83070, 83212, 83354, 83496, 83638, 83780, 83922, 84064, 84206, 84348, 84490, 84632, 84774, 84916, 85058, 85200, 85342, 85484, 85626, 85768, 85910, 86052, 86194, 86336, 86478, 86620, 86762, 86904, 87046, 87188, 87330, 87472, 87614, 87756, 87898, 88040, 88182, 88324, 88466, 88608, 88750, 88892, 89034, 89176, 89318, 89460, 89602, 89744, 89886, 90028, 90170, 90312, 90454, 90596, 90738, 90880, 91022, 91164, 91306, 91448, 91590, 91732, 91874, 92016, 92158, 92300, 92442, 92584, 92726, 92868, 93010, 93152, 93294, 93436, 93578, 93720, 93862, 94004, 94146, 94288, 94430, 94572, 94714, 94856, 94998, 95140, 95282, 95424, 95566, 95708, 95850, 95992, 96134, 96276, 96418, 96560, 96702, 96844, 96986, 97128, 97270, 97412, 97554, 97696, 97838, 97980, 98122, 98264, 98406, 98548, 98690, 98832, 98974, 99116, 99258, 99400, 99542, 99684, 99826, 99968, 100110, 100252, 100394, 100536, 100678, 100820, 100962, 101104, 101246, 101388, 101530, 101672, 101814, 101956, 102098, 102240, 102382, 102524, 102666, 102808, 102950, 103092, 103234, 103376, 103518, 103660, 103802, 103944, 104086, 104228, 104370, 104512, 104654, 104796, 104938, 105080, 105222, 105364, 105506, 105648, 105790, 105932, 106074, 106216, 106358, 106500, 106642, 106784, 106926, 107068, 107210, 107352, 107494, 107636, 107778, 107920, 108062, 108204, 108346, 108488, 108630, 108772, 108914, 109056, 109198, 109340, 109482, 109624, 109766, 109908, 110050, 110192, 110334, 110476, 110618, 110760, 110902, 111044, 111186, 111328, 111470, 111612, 111754, 111896, 112038, 112180, 112322, 112464, 112606, 112748, 112890, 113032, 113174, 113316, 113458, 113600, 113742, 113884, 114026, 114168, 114310, 114452, 114594, 114736, 114878, 115020, 115162, 115304, 115446, 115588, 115730, 115872, 116014, 116156, 116298, 116440, 116582, 116724, 116866, 117008, 117150, 117292, 117434, 117576, 117718, 117860, 118002, 118144, 118286, 118428, 118570, 118712, 118854, 118996, 119138, 119280, 119422, 119564, 119706, 119848, 119990, 120132, 120274, 120416, 120558, 120700, 120842, 120984, 121126, 121268, 121410, 121552, 121694, 121836, 121978, 122120, 122262, 122404, 122546, 122688, 122830, 122972, 123114, 123256, 123398, 123540, 123682, 123824, 123966, 124108, 124250, 124392, 124534, 124676, 124818, 124960, 125102, 125244, 125386, 125528, 125670, 125812, 125954, 126096, 126238, 126380, 126522, 126664, 126806, 126948, 127090, 127232, 127374, 127516, 127658, 127800, 127942, 128084, 128226, 128368, 128510, 128652, 128794, 128936, 129078, 129220, 129362, 129504, 129646, 129788, 129930, 130072, 130214, 130356, 130498, 130640, 130782, 130924, 131066, 131208, 131350, 131492, 131634, 131776, 131918, 132060, 132202, 132344, 132486, 132628, 132770, 132912, 133054, 133196, 133338, 133480, 133622, 133764, 133906, 134048, 134190, 134332, 134474, 134616, 134758, 134900, 135042, 135184, 135326, 135468, 135610, 135752, 135894, 136036, 136178, 136320, 136462, 136604, 136746, 136888, 137030, 137172, 137314, 137456, 137598, 137740, 137882, 138024, 138166, 138308, 138450, 138592, 138734, 138876, 139018, 139160, 139302, 139444, 139586, 139728, 139870, 140012, 140154, 140296, 140438, 140580, 140722, 140864, 141006, 141148, 141290, 141432, 141574, 141716, 141858, 142000, [...], 142
So the LCM for 71 and 142 is 142
Finding LCM for 71 and 142 by Prime Factorization
Another method to find LCM for numbers 71 and 142 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 71: 71 (exponent form: 711)
All Prime Factors of 142: 2, 71 (exponent form: 21, 711)
711 × 21 = 142
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
56 | 142 | 3976 |
57 | 142 | 8094 |
58 | 142 | 4118 |
59 | 142 | 8378 |
60 | 142 | 4260 |
61 | 142 | 8662 |
62 | 142 | 4402 |
63 | 142 | 8946 |
64 | 142 | 4544 |
65 | 142 | 9230 |
66 | 142 | 4686 |
67 | 142 | 9514 |
68 | 142 | 4828 |
69 | 142 | 9798 |
70 | 142 | 4970 |
71 | 142 | 142 |
72 | 142 | 5112 |
73 | 142 | 10366 |
74 | 142 | 5254 |
75 | 142 | 10650 |
76 | 142 | 5396 |
77 | 142 | 10934 |
78 | 142 | 5538 |
79 | 142 | 11218 |
80 | 142 | 5680 |
81 | 142 | 11502 |
82 | 142 | 5822 |
83 | 142 | 11786 |
84 | 142 | 5964 |
85 | 142 | 12070 |
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