LCM for 11 and 22
What's the Least Common Multiple (LCM) of 11 and 22?
(Twenty-two)
Finding LCM for 11 and 22 using GCF's of these numbers
The first method to find LCM for numbers 11 and 22 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 11 and 22 is 11, so
LCM = (11 × 22) ÷ 11
LCM = 242 ÷ 11
LCM = 22
Finding LCM for 11 and 22 by Listing Multiples
The second method to find LCM for numbers 11 and 22 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 11: 11, 22, 33, 44
Multiples of 22: 22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374, 396, 418, 440, 462, 484, 506, 528, 550, 572, 594, 616, 638, 660, 682, 704, 726, 748, 770, 792, 814, 836, 858, 880, 902, 924, 946, 968, 990, 1012, 1034, 1056, 1078, 1100, 1122, 1144, 1166, 1188, 1210, 1232, 1254, 1276, 1298, 1320, 1342, 1364, 1386, 1408, 1430, 1452, 1474, 1496, 1518, 1540, 1562, 1584, 1606, 1628, 1650, 1672, 1694, 1716, 1738, 1760, 1782, 1804, 1826, 1848, 1870, 1892, 1914, 1936, 1958, 1980, 2002, 2024, 2046, 2068, 2090, 2112, 2134, 2156, 2178, 2200, 2222, 2244, 2266, 2288, 2310, 2332, 2354, 2376, 2398, 2420, 2442, 2464, 2486, 2508, 2530, 2552, 2574, 2596, 2618, 2640, 2662, 2684, 2706, 2728, 2750, 2772, 2794, 2816, 2838, 2860, 2882, 2904, 2926, 2948, 2970, 2992, 3014, 3036, 3058, 3080, 3102, 3124, 3146, 3168, 3190, 3212, 3234, 3256, 3278, 3300, 3322, 3344, 3366, 3388, 3410, 3432, 3454, 3476, 3498, 3520, 3542, 3564, 3586, 3608, 3630, 3652, 3674, 3696, 3718, 3740, 3762, 3784, 3806, 3828, 3850, 3872, 3894, 3916, 3938, 3960, 3982, 4004, 4026, 4048, 4070, 4092, 4114, 4136, 4158, 4180, 4202, 4224, 4246, 4268, 4290, 4312, 4334, 4356, 4378, 4400, 4422, 4444, 4466, 4488, 4510, 4532, 4554, 4576, 4598, 4620, 4642, 4664, 4686, 4708, 4730, 4752, 4774, 4796, 4818, 4840, 4862, 4884, 4906, 4928, 4950, 4972, 4994, 5016, 5038, 5060, 5082, 5104, 5126, 5148, 5170, 5192, 5214, 5236, 5258, 5280, 5302, 5324, 5346, 5368, 5390, 5412, 5434, 5456, 5478, 5500, 5522, 5544, 5566, 5588, 5610, 5632, 5654, 5676, 5698, 5720, 5742, 5764, 5786, 5808, 5830, 5852, 5874, 5896, 5918, 5940, 5962, 5984, 6006, 6028, 6050, 6072, 6094, 6116, 6138, 6160, 6182, 6204, 6226, 6248, 6270, 6292, 6314, 6336, 6358, 6380, 6402, 6424, 6446, 6468, 6490, 6512, 6534, 6556, 6578, 6600, 6622, 6644, 6666, 6688, 6710, 6732, 6754, 6776, 6798, 6820, 6842, 6864, 6886, 6908, 6930, 6952, 6974, 6996, 7018, 7040, 7062, 7084, 7106, 7128, 7150, 7172, 7194, 7216, 7238, 7260, 7282, 7304, 7326, 7348, 7370, 7392, 7414, 7436, 7458, 7480, 7502, 7524, 7546, 7568, 7590, 7612, 7634, 7656, 7678, 7700, 7722, 7744, 7766, 7788, 7810, 7832, 7854, 7876, 7898, 7920, 7942, 7964, 7986, 8008, 8030, 8052, 8074, 8096, 8118, 8140, 8162, 8184, 8206, 8228, 8250, 8272, 8294, 8316, 8338, 8360, 8382, 8404, 8426, 8448, 8470, 8492, 8514, 8536, 8558, 8580, 8602, 8624, 8646, 8668, 8690, 8712, 8734, 8756, 8778, 8800, 8822, 8844, 8866, 8888, 8910, 8932, 8954, 8976, 8998, 9020, 9042, 9064, 9086, 9108, 9130, 9152, 9174, 9196, 9218, 9240, 9262, 9284, 9306, 9328, 9350, 9372, 9394, 9416, 9438, 9460, 9482, 9504, 9526, 9548, 9570, 9592, 9614, 9636, 9658, 9680, 9702, 9724, 9746, 9768, 9790, 9812, 9834, 9856, 9878, 9900, 9922, 9944, 9966, 9988, 10010, 10032, 10054, 10076, 10098, 10120, 10142, 10164, 10186, 10208, 10230, 10252, 10274, 10296, 10318, 10340, 10362, 10384, 10406, 10428, 10450, 10472, 10494, 10516, 10538, 10560, 10582, 10604, 10626, 10648, 10670, 10692, 10714, 10736, 10758, 10780, 10802, 10824, 10846, 10868, 10890, 10912, 10934, 10956, 10978, 11000, 11022, 11044, 11066, 11088, 11110, 11132, 11154, 11176, 11198, 11220, 11242, 11264, 11286, 11308, 11330, 11352, 11374, 11396, 11418, 11440, 11462, 11484, 11506, 11528, 11550, 11572, 11594, 11616, 11638, 11660, 11682, 11704, 11726, 11748, 11770, 11792, 11814, 11836, 11858, 11880, 11902, 11924, 11946, 11968, 11990, 12012, 12034, 12056, 12078, 12100, 12122, 12144, 12166, 12188, 12210, 12232, 12254, 12276, 12298, 12320, 12342, 12364, 12386, 12408, 12430, 12452, 12474, 12496, 12518, 12540, 12562, 12584, 12606, 12628, 12650, 12672, 12694, 12716, 12738, 12760, 12782, 12804, 12826, 12848, 12870, 12892, 12914, 12936, 12958, 12980, 13002, 13024, 13046, 13068, 13090, 13112, 13134, 13156, 13178, 13200, 13222, 13244, 13266, 13288, 13310, 13332, 13354, 13376, 13398, 13420, 13442, 13464, 13486, 13508, 13530, 13552, 13574, 13596, 13618, 13640, 13662, 13684, 13706, 13728, 13750, 13772, 13794, 13816, 13838, 13860, 13882, 13904, 13926, 13948, 13970, 13992, 14014, 14036, 14058, 14080, 14102, 14124, 14146, 14168, 14190, 14212, 14234, 14256, 14278, 14300, 14322, 14344, 14366, 14388, 14410, 14432, 14454, 14476, 14498, 14520, 14542, 14564, 14586, 14608, 14630, 14652, 14674, 14696, 14718, 14740, 14762, 14784, 14806, 14828, 14850, 14872, 14894, 14916, 14938, 14960, 14982, 15004, 15026, 15048, 15070, 15092, 15114, 15136, 15158, 15180, 15202, 15224, 15246, 15268, 15290, 15312, 15334, 15356, 15378, 15400, 15422, 15444, 15466, 15488, 15510, 15532, 15554, 15576, 15598, 15620, 15642, 15664, 15686, 15708, 15730, 15752, 15774, 15796, 15818, 15840, 15862, 15884, 15906, 15928, 15950, 15972, 15994, 16016, 16038, 16060, 16082, 16104, 16126, 16148, 16170, 16192, 16214, 16236, 16258, 16280, 16302, 16324, 16346, 16368, 16390, 16412, 16434, 16456, 16478, 16500, 16522, 16544, 16566, 16588, 16610, 16632, 16654, 16676, 16698, 16720, 16742, 16764, 16786, 16808, 16830, 16852, 16874, 16896, 16918, 16940, 16962, 16984, 17006, 17028, 17050, 17072, 17094, 17116, 17138, 17160, 17182, 17204, 17226, 17248, 17270, 17292, 17314, 17336, 17358, 17380, 17402, 17424, 17446, 17468, 17490, 17512, 17534, 17556, 17578, 17600, 17622, 17644, 17666, 17688, 17710, 17732, 17754, 17776, 17798, 17820, 17842, 17864, 17886, 17908, 17930, 17952, 17974, 17996, 18018, 18040, 18062, 18084, 18106, 18128, 18150, 18172, 18194, 18216, 18238, 18260, 18282, 18304, 18326, 18348, 18370, 18392, 18414, 18436, 18458, 18480, 18502, 18524, 18546, 18568, 18590, 18612, 18634, 18656, 18678, 18700, 18722, 18744, 18766, 18788, 18810, 18832, 18854, 18876, 18898, 18920, 18942, 18964, 18986, 19008, 19030, 19052, 19074, 19096, 19118, 19140, 19162, 19184, 19206, 19228, 19250, 19272, 19294, 19316, 19338, 19360, 19382, 19404, 19426, 19448, 19470, 19492, 19514, 19536, 19558, 19580, 19602, 19624, 19646, 19668, 19690, 19712, 19734, 19756, 19778, 19800, 19822, 19844, 19866, 19888, 19910, 19932, 19954, 19976, 19998, 20020, 20042, 20064, 20086, 20108, 20130, 20152, 20174, 20196, 20218, 20240, 20262, 20284, 20306, 20328, 20350, 20372, 20394, 20416, 20438, 20460, 20482, 20504, 20526, 20548, 20570, 20592, 20614, 20636, 20658, 20680, 20702, 20724, 20746, 20768, 20790, 20812, 20834, 20856, 20878, 20900, 20922, 20944, 20966, 20988, 21010, 21032, 21054, 21076, 21098, 21120, 21142, 21164, 21186, 21208, 21230, 21252, 21274, 21296, 21318, 21340, 21362, 21384, 21406, 21428, 21450, 21472, 21494, 21516, 21538, 21560, 21582, 21604, 21626, 21648, 21670, 21692, 21714, 21736, 21758, 21780, 21802, 21824, 21846, 21868, 21890, 21912, 21934, 21956, 21978, 22000, [...], 22
So the LCM for 11 and 22 is 22
Finding LCM for 11 and 22 by Prime Factorization
Another method to find LCM for numbers 11 and 22 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 11: 11 (exponent form: 111)
All Prime Factors of 22: 2, 11 (exponent form: 21, 111)
111 × 21 = 22
Related Calculations
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/11--22">What is the LCM of 11 and 22? - Calculatio</a>
LCM Table
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