LCM for 113 and 226
What's the Least Common Multiple (LCM) of 113 and 226?
(Two hundred twenty-six)
Finding LCM for 113 and 226 using GCF's of these numbers
The first method to find LCM for numbers 113 and 226 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 113 and 226 is 113, so
LCM = (113 × 226) ÷ 113
LCM = 25538 ÷ 113
LCM = 226
Finding LCM for 113 and 226 by Listing Multiples
The second method to find LCM for numbers 113 and 226 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 113: 113, 226, 339, 452
Multiples of 226: 226, 452, 678, 904, 1130, 1356, 1582, 1808, 2034, 2260, 2486, 2712, 2938, 3164, 3390, 3616, 3842, 4068, 4294, 4520, 4746, 4972, 5198, 5424, 5650, 5876, 6102, 6328, 6554, 6780, 7006, 7232, 7458, 7684, 7910, 8136, 8362, 8588, 8814, 9040, 9266, 9492, 9718, 9944, 10170, 10396, 10622, 10848, 11074, 11300, 11526, 11752, 11978, 12204, 12430, 12656, 12882, 13108, 13334, 13560, 13786, 14012, 14238, 14464, 14690, 14916, 15142, 15368, 15594, 15820, 16046, 16272, 16498, 16724, 16950, 17176, 17402, 17628, 17854, 18080, 18306, 18532, 18758, 18984, 19210, 19436, 19662, 19888, 20114, 20340, 20566, 20792, 21018, 21244, 21470, 21696, 21922, 22148, 22374, 22600, 22826, 23052, 23278, 23504, 23730, 23956, 24182, 24408, 24634, 24860, 25086, 25312, 25538, 25764, 25990, 26216, 26442, 26668, 26894, 27120, 27346, 27572, 27798, 28024, 28250, 28476, 28702, 28928, 29154, 29380, 29606, 29832, 30058, 30284, 30510, 30736, 30962, 31188, 31414, 31640, 31866, 32092, 32318, 32544, 32770, 32996, 33222, 33448, 33674, 33900, 34126, 34352, 34578, 34804, 35030, 35256, 35482, 35708, 35934, 36160, 36386, 36612, 36838, 37064, 37290, 37516, 37742, 37968, 38194, 38420, 38646, 38872, 39098, 39324, 39550, 39776, 40002, 40228, 40454, 40680, 40906, 41132, 41358, 41584, 41810, 42036, 42262, 42488, 42714, 42940, 43166, 43392, 43618, 43844, 44070, 44296, 44522, 44748, 44974, 45200, 45426, 45652, 45878, 46104, 46330, 46556, 46782, 47008, 47234, 47460, 47686, 47912, 48138, 48364, 48590, 48816, 49042, 49268, 49494, 49720, 49946, 50172, 50398, 50624, 50850, 51076, 51302, 51528, 51754, 51980, 52206, 52432, 52658, 52884, 53110, 53336, 53562, 53788, 54014, 54240, 54466, 54692, 54918, 55144, 55370, 55596, 55822, 56048, 56274, 56500, 56726, 56952, 57178, 57404, 57630, 57856, 58082, 58308, 58534, 58760, 58986, 59212, 59438, 59664, 59890, 60116, 60342, 60568, 60794, 61020, 61246, 61472, 61698, 61924, 62150, 62376, 62602, 62828, 63054, 63280, 63506, 63732, 63958, 64184, 64410, 64636, 64862, 65088, 65314, 65540, 65766, 65992, 66218, 66444, 66670, 66896, 67122, 67348, 67574, 67800, 68026, 68252, 68478, 68704, 68930, 69156, 69382, 69608, 69834, 70060, 70286, 70512, 70738, 70964, 71190, 71416, 71642, 71868, 72094, 72320, 72546, 72772, 72998, 73224, 73450, 73676, 73902, 74128, 74354, 74580, 74806, 75032, 75258, 75484, 75710, 75936, 76162, 76388, 76614, 76840, 77066, 77292, 77518, 77744, 77970, 78196, 78422, 78648, 78874, 79100, 79326, 79552, 79778, 80004, 80230, 80456, 80682, 80908, 81134, 81360, 81586, 81812, 82038, 82264, 82490, 82716, 82942, 83168, 83394, 83620, 83846, 84072, 84298, 84524, 84750, 84976, 85202, 85428, 85654, 85880, 86106, 86332, 86558, 86784, 87010, 87236, 87462, 87688, 87914, 88140, 88366, 88592, 88818, 89044, 89270, 89496, 89722, 89948, 90174, 90400, 90626, 90852, 91078, 91304, 91530, 91756, 91982, 92208, 92434, 92660, 92886, 93112, 93338, 93564, 93790, 94016, 94242, 94468, 94694, 94920, 95146, 95372, 95598, 95824, 96050, 96276, 96502, 96728, 96954, 97180, 97406, 97632, 97858, 98084, 98310, 98536, 98762, 98988, 99214, 99440, 99666, 99892, 100118, 100344, 100570, 100796, 101022, 101248, 101474, 101700, 101926, 102152, 102378, 102604, 102830, 103056, 103282, 103508, 103734, 103960, 104186, 104412, 104638, 104864, 105090, 105316, 105542, 105768, 105994, 106220, 106446, 106672, 106898, 107124, 107350, 107576, 107802, 108028, 108254, 108480, 108706, 108932, 109158, 109384, 109610, 109836, 110062, 110288, 110514, 110740, 110966, 111192, 111418, 111644, 111870, 112096, 112322, 112548, 112774, 113000, 113226, 113452, 113678, 113904, 114130, 114356, 114582, 114808, 115034, 115260, 115486, 115712, 115938, 116164, 116390, 116616, 116842, 117068, 117294, 117520, 117746, 117972, 118198, 118424, 118650, 118876, 119102, 119328, 119554, 119780, 120006, 120232, 120458, 120684, 120910, 121136, 121362, 121588, 121814, 122040, 122266, 122492, 122718, 122944, 123170, 123396, 123622, 123848, 124074, 124300, 124526, 124752, 124978, 125204, 125430, 125656, 125882, 126108, 126334, 126560, 126786, 127012, 127238, 127464, 127690, 127916, 128142, 128368, 128594, 128820, 129046, 129272, 129498, 129724, 129950, 130176, 130402, 130628, 130854, 131080, 131306, 131532, 131758, 131984, 132210, 132436, 132662, 132888, 133114, 133340, 133566, 133792, 134018, 134244, 134470, 134696, 134922, 135148, 135374, 135600, 135826, 136052, 136278, 136504, 136730, 136956, 137182, 137408, 137634, 137860, 138086, 138312, 138538, 138764, 138990, 139216, 139442, 139668, 139894, 140120, 140346, 140572, 140798, 141024, 141250, 141476, 141702, 141928, 142154, 142380, 142606, 142832, 143058, 143284, 143510, 143736, 143962, 144188, 144414, 144640, 144866, 145092, 145318, 145544, 145770, 145996, 146222, 146448, 146674, 146900, 147126, 147352, 147578, 147804, 148030, 148256, 148482, 148708, 148934, 149160, 149386, 149612, 149838, 150064, 150290, 150516, 150742, 150968, 151194, 151420, 151646, 151872, 152098, 152324, 152550, 152776, 153002, 153228, 153454, 153680, 153906, 154132, 154358, 154584, 154810, 155036, 155262, 155488, 155714, 155940, 156166, 156392, 156618, 156844, 157070, 157296, 157522, 157748, 157974, 158200, 158426, 158652, 158878, 159104, 159330, 159556, 159782, 160008, 160234, 160460, 160686, 160912, 161138, 161364, 161590, 161816, 162042, 162268, 162494, 162720, 162946, 163172, 163398, 163624, 163850, 164076, 164302, 164528, 164754, 164980, 165206, 165432, 165658, 165884, 166110, 166336, 166562, 166788, 167014, 167240, 167466, 167692, 167918, 168144, 168370, 168596, 168822, 169048, 169274, 169500, 169726, 169952, 170178, 170404, 170630, 170856, 171082, 171308, 171534, 171760, 171986, 172212, 172438, 172664, 172890, 173116, 173342, 173568, 173794, 174020, 174246, 174472, 174698, 174924, 175150, 175376, 175602, 175828, 176054, 176280, 176506, 176732, 176958, 177184, 177410, 177636, 177862, 178088, 178314, 178540, 178766, 178992, 179218, 179444, 179670, 179896, 180122, 180348, 180574, 180800, 181026, 181252, 181478, 181704, 181930, 182156, 182382, 182608, 182834, 183060, 183286, 183512, 183738, 183964, 184190, 184416, 184642, 184868, 185094, 185320, 185546, 185772, 185998, 186224, 186450, 186676, 186902, 187128, 187354, 187580, 187806, 188032, 188258, 188484, 188710, 188936, 189162, 189388, 189614, 189840, 190066, 190292, 190518, 190744, 190970, 191196, 191422, 191648, 191874, 192100, 192326, 192552, 192778, 193004, 193230, 193456, 193682, 193908, 194134, 194360, 194586, 194812, 195038, 195264, 195490, 195716, 195942, 196168, 196394, 196620, 196846, 197072, 197298, 197524, 197750, 197976, 198202, 198428, 198654, 198880, 199106, 199332, 199558, 199784, 200010, 200236, 200462, 200688, 200914, 201140, 201366, 201592, 201818, 202044, 202270, 202496, 202722, 202948, 203174, 203400, 203626, 203852, 204078, 204304, 204530, 204756, 204982, 205208, 205434, 205660, 205886, 206112, 206338, 206564, 206790, 207016, 207242, 207468, 207694, 207920, 208146, 208372, 208598, 208824, 209050, 209276, 209502, 209728, 209954, 210180, 210406, 210632, 210858, 211084, 211310, 211536, 211762, 211988, 212214, 212440, 212666, 212892, 213118, 213344, 213570, 213796, 214022, 214248, 214474, 214700, 214926, 215152, 215378, 215604, 215830, 216056, 216282, 216508, 216734, 216960, 217186, 217412, 217638, 217864, 218090, 218316, 218542, 218768, 218994, 219220, 219446, 219672, 219898, 220124, 220350, 220576, 220802, 221028, 221254, 221480, 221706, 221932, 222158, 222384, 222610, 222836, 223062, 223288, 223514, 223740, 223966, 224192, 224418, 224644, 224870, 225096, 225322, 225548, 225774, 226000, [...], 226
So the LCM for 113 and 226 is 226
Finding LCM for 113 and 226 by Prime Factorization
Another method to find LCM for numbers 113 and 226 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 113: 113 (exponent form: 1131)
All Prime Factors of 226: 2, 113 (exponent form: 21, 1131)
1131 × 21 = 226
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
98 | 226 | 11074 |
99 | 226 | 22374 |
100 | 226 | 11300 |
101 | 226 | 22826 |
102 | 226 | 11526 |
103 | 226 | 23278 |
104 | 226 | 11752 |
105 | 226 | 23730 |
106 | 226 | 11978 |
107 | 226 | 24182 |
108 | 226 | 12204 |
109 | 226 | 24634 |
110 | 226 | 12430 |
111 | 226 | 25086 |
112 | 226 | 12656 |
113 | 226 | 226 |
114 | 226 | 12882 |
115 | 226 | 25990 |
116 | 226 | 13108 |
117 | 226 | 26442 |
118 | 226 | 13334 |
119 | 226 | 26894 |
120 | 226 | 13560 |
121 | 226 | 27346 |
122 | 226 | 13786 |
123 | 226 | 27798 |
124 | 226 | 14012 |
125 | 226 | 28250 |
126 | 226 | 14238 |
127 | 226 | 28702 |
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