LCM for 7 and 14

The first method to find LCM for numbers 7 and 14 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 7 and 14 is 7, so

LCM = (7 × 14) ÷ 7

LCM = 98 ÷ 7

LCM = 14

The second method to find LCM for numbers 7 and 14 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 7: 7, 14, 21, 28

Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434, 448, 462, 476, 490, 504, 518, 532, 546, 560, 574, 588, 602, 616, 630, 644, 658, 672, 686, 700, 714, 728, 742, 756, 770, 784, 798, 812, 826, 840, 854, 868, 882, 896, 910, 924, 938, 952, 966, 980, 994, 1008, 1022, 1036, 1050, 1064, 1078, 1092, 1106, 1120, 1134, 1148, 1162, 1176, 1190, 1204, 1218, 1232, 1246, 1260, 1274, 1288, 1302, 1316, 1330, 1344, 1358, 1372, 1386, 1400, 1414, 1428, 1442, 1456, 1470, 1484, 1498, 1512, 1526, 1540, 1554, 1568, 1582, 1596, 1610, 1624, 1638, 1652, 1666, 1680, 1694, 1708, 1722, 1736, 1750, 1764, 1778, 1792, 1806, 1820, 1834, 1848, 1862, 1876, 1890, 1904, 1918, 1932, 1946, 1960, 1974, 1988, 2002, 2016, 2030, 2044, 2058, 2072, 2086, 2100, 2114, 2128, 2142, 2156, 2170, 2184, 2198, 2212, 2226, 2240, 2254, 2268, 2282, 2296, 2310, 2324, 2338, 2352, 2366, 2380, 2394, 2408, 2422, 2436, 2450, 2464, 2478, 2492, 2506, 2520, 2534, 2548, 2562, 2576, 2590, 2604, 2618, 2632, 2646, 2660, 2674, 2688, 2702, 2716, 2730, 2744, 2758, 2772, 2786, 2800, 2814, 2828, 2842, 2856, 2870, 2884, 2898, 2912, 2926, 2940, 2954, 2968, 2982, 2996, 3010, 3024, 3038, 3052, 3066, 3080, 3094, 3108, 3122, 3136, 3150, 3164, 3178, 3192, 3206, 3220, 3234, 3248, 3262, 3276, 3290, 3304, 3318, 3332, 3346, 3360, 3374, 3388, 3402, 3416, 3430, 3444, 3458, 3472, 3486, 3500, 3514, 3528, 3542, 3556, 3570, 3584, 3598, 3612, 3626, 3640, 3654, 3668, 3682, 3696, 3710, 3724, 3738, 3752, 3766, 3780, 3794, 3808, 3822, 3836, 3850, 3864, 3878, 3892, 3906, 3920, 3934, 3948, 3962, 3976, 3990, 4004, 4018, 4032, 4046, 4060, 4074, 4088, 4102, 4116, 4130, 4144, 4158, 4172, 4186, 4200, 4214, 4228, 4242, 4256, 4270, 4284, 4298, 4312, 4326, 4340, 4354, 4368, 4382, 4396, 4410, 4424, 4438, 4452, 4466, 4480, 4494, 4508, 4522, 4536, 4550, 4564, 4578, 4592, 4606, 4620, 4634, 4648, 4662, 4676, 4690, 4704, 4718, 4732, 4746, 4760, 4774, 4788, 4802, 4816, 4830, 4844, 4858, 4872, 4886, 4900, 4914, 4928, 4942, 4956, 4970, 4984, 4998, 5012, 5026, 5040, 5054, 5068, 5082, 5096, 5110, 5124, 5138, 5152, 5166, 5180, 5194, 5208, 5222, 5236, 5250, 5264, 5278, 5292, 5306, 5320, 5334, 5348, 5362, 5376, 5390, 5404, 5418, 5432, 5446, 5460, 5474, 5488, 5502, 5516, 5530, 5544, 5558, 5572, 5586, 5600, 5614, 5628, 5642, 5656, 5670, 5684, 5698, 5712, 5726, 5740, 5754, 5768, 5782, 5796, 5810, 5824, 5838, 5852, 5866, 5880, 5894, 5908, 5922, 5936, 5950, 5964, 5978, 5992, 6006, 6020, 6034, 6048, 6062, 6076, 6090, 6104, 6118, 6132, 6146, 6160, 6174, 6188, 6202, 6216, 6230, 6244, 6258, 6272, 6286, 6300, 6314, 6328, 6342, 6356, 6370, 6384, 6398, 6412, 6426, 6440, 6454, 6468, 6482, 6496, 6510, 6524, 6538, 6552, 6566, 6580, 6594, 6608, 6622, 6636, 6650, 6664, 6678, 6692, 6706, 6720, 6734, 6748, 6762, 6776, 6790, 6804, 6818, 6832, 6846, 6860, 6874, 6888, 6902, 6916, 6930, 6944, 6958, 6972, 6986, 7000, 7014, 7028, 7042, 7056, 7070, 7084, 7098, 7112, 7126, 7140, 7154, 7168, 7182, 7196, 7210, 7224, 7238, 7252, 7266, 7280, 7294, 7308, 7322, 7336, 7350, 7364, 7378, 7392, 7406, 7420, 7434, 7448, 7462, 7476, 7490, 7504, 7518, 7532, 7546, 7560, 7574, 7588, 7602, 7616, 7630, 7644, 7658, 7672, 7686, 7700, 7714, 7728, 7742, 7756, 7770, 7784, 7798, 7812, 7826, 7840, 7854, 7868, 7882, 7896, 7910, 7924, 7938, 7952, 7966, 7980, 7994, 8008, 8022, 8036, 8050, 8064, 8078, 8092, 8106, 8120, 8134, 8148, 8162, 8176, 8190, 8204, 8218, 8232, 8246, 8260, 8274, 8288, 8302, 8316, 8330, 8344, 8358, 8372, 8386, 8400, 8414, 8428, 8442, 8456, 8470, 8484, 8498, 8512, 8526, 8540, 8554, 8568, 8582, 8596, 8610, 8624, 8638, 8652, 8666, 8680, 8694, 8708, 8722, 8736, 8750, 8764, 8778, 8792, 8806, 8820, 8834, 8848, 8862, 8876, 8890, 8904, 8918, 8932, 8946, 8960, 8974, 8988, 9002, 9016, 9030, 9044, 9058, 9072, 9086, 9100, 9114, 9128, 9142, 9156, 9170, 9184, 9198, 9212, 9226, 9240, 9254, 9268, 9282, 9296, 9310, 9324, 9338, 9352, 9366, 9380, 9394, 9408, 9422, 9436, 9450, 9464, 9478, 9492, 9506, 9520, 9534, 9548, 9562, 9576, 9590, 9604, 9618, 9632, 9646, 9660, 9674, 9688, 9702, 9716, 9730, 9744, 9758, 9772, 9786, 9800, 9814, 9828, 9842, 9856, 9870, 9884, 9898, 9912, 9926, 9940, 9954, 9968, 9982, 9996, 10010, 10024, 10038, 10052, 10066, 10080, 10094, 10108, 10122, 10136, 10150, 10164, 10178, 10192, 10206, 10220, 10234, 10248, 10262, 10276, 10290, 10304, 10318, 10332, 10346, 10360, 10374, 10388, 10402, 10416, 10430, 10444, 10458, 10472, 10486, 10500, 10514, 10528, 10542, 10556, 10570, 10584, 10598, 10612, 10626, 10640, 10654, 10668, 10682, 10696, 10710, 10724, 10738, 10752, 10766, 10780, 10794, 10808, 10822, 10836, 10850, 10864, 10878, 10892, 10906, 10920, 10934, 10948, 10962, 10976, 10990, 11004, 11018, 11032, 11046, 11060, 11074, 11088, 11102, 11116, 11130, 11144, 11158, 11172, 11186, 11200, 11214, 11228, 11242, 11256, 11270, 11284, 11298, 11312, 11326, 11340, 11354, 11368, 11382, 11396, 11410, 11424, 11438, 11452, 11466, 11480, 11494, 11508, 11522, 11536, 11550, 11564, 11578, 11592, 11606, 11620, 11634, 11648, 11662, 11676, 11690, 11704, 11718, 11732, 11746, 11760, 11774, 11788, 11802, 11816, 11830, 11844, 11858, 11872, 11886, 11900, 11914, 11928, 11942, 11956, 11970, 11984, 11998, 12012, 12026, 12040, 12054, 12068, 12082, 12096, 12110, 12124, 12138, 12152, 12166, 12180, 12194, 12208, 12222, 12236, 12250, 12264, 12278, 12292, 12306, 12320, 12334, 12348, 12362, 12376, 12390, 12404, 12418, 12432, 12446, 12460, 12474, 12488, 12502, 12516, 12530, 12544, 12558, 12572, 12586, 12600, 12614, 12628, 12642, 12656, 12670, 12684, 12698, 12712, 12726, 12740, 12754, 12768, 12782, 12796, 12810, 12824, 12838, 12852, 12866, 12880, 12894, 12908, 12922, 12936, 12950, 12964, 12978, 12992, 13006, 13020, 13034, 13048, 13062, 13076, 13090, 13104, 13118, 13132, 13146, 13160, 13174, 13188, 13202, 13216, 13230, 13244, 13258, 13272, 13286, 13300, 13314, 13328, 13342, 13356, 13370, 13384, 13398, 13412, 13426, 13440, 13454, 13468, 13482, 13496, 13510, 13524, 13538, 13552, 13566, 13580, 13594, 13608, 13622, 13636, 13650, 13664, 13678, 13692, 13706, 13720, 13734, 13748, 13762, 13776, 13790, 13804, 13818, 13832, 13846, 13860, 13874, 13888, 13902, 13916, 13930, 13944, 13958, 13972, 13986, 14000, [...], 14

So the LCM for 7 and 14 is 14

Another method to find LCM for numbers 7 and 14 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors: