LCM for 24 and 48

The first method to find LCM for numbers 24 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 24 and 48 is 24, so

LCM = (24 × 48) ÷ 24

LCM = 1152 ÷ 24

LCM = 48

The second method to find LCM for numbers 24 and 48 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 24: 24, 48, 72, 96

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, 1296, 1344, 1392, 1440, 1488, 1536, 1584, 1632, 1680, 1728, 1776, 1824, 1872, 1920, 1968, 2016, 2064, 2112, 2160, 2208, 2256, 2304, 2352, 2400, 2448, 2496, 2544, 2592, 2640, 2688, 2736, 2784, 2832, 2880, 2928, 2976, 3024, 3072, 3120, 3168, 3216, 3264, 3312, 3360, 3408, 3456, 3504, 3552, 3600, 3648, 3696, 3744, 3792, 3840, 3888, 3936, 3984, 4032, 4080, 4128, 4176, 4224, 4272, 4320, 4368, 4416, 4464, 4512, 4560, 4608, 4656, 4704, 4752, 4800, 4848, 4896, 4944, 4992, 5040, 5088, 5136, 5184, 5232, 5280, 5328, 5376, 5424, 5472, 5520, 5568, 5616, 5664, 5712, 5760, 5808, 5856, 5904, 5952, 6000, 6048, 6096, 6144, 6192, 6240, 6288, 6336, 6384, 6432, 6480, 6528, 6576, 6624, 6672, 6720, 6768, 6816, 6864, 6912, 6960, 7008, 7056, 7104, 7152, 7200, 7248, 7296, 7344, 7392, 7440, 7488, 7536, 7584, 7632, 7680, 7728, 7776, 7824, 7872, 7920, 7968, 8016, 8064, 8112, 8160, 8208, 8256, 8304, 8352, 8400, 8448, 8496, 8544, 8592, 8640, 8688, 8736, 8784, 8832, 8880, 8928, 8976, 9024, 9072, 9120, 9168, 9216, 9264, 9312, 9360, 9408, 9456, 9504, 9552, 9600, 9648, 9696, 9744, 9792, 9840, 9888, 9936, 9984, 10032, 10080, 10128, 10176, 10224, 10272, 10320, 10368, 10416, 10464, 10512, 10560, 10608, 10656, 10704, 10752, 10800, 10848, 10896, 10944, 10992, 11040, 11088, 11136, 11184, 11232, 11280, 11328, 11376, 11424, 11472, 11520, 11568, 11616, 11664, 11712, 11760, 11808, 11856, 11904, 11952, 12000, 12048, 12096, 12144, 12192, 12240, 12288, 12336, 12384, 12432, 12480, 12528, 12576, 12624, 12672, 12720, 12768, 12816, 12864, 12912, 12960, 13008, 13056, 13104, 13152, 13200, 13248, 13296, 13344, 13392, 13440, 13488, 13536, 13584, 13632, 13680, 13728, 13776, 13824, 13872, 13920, 13968, 14016, 14064, 14112, 14160, 14208, 14256, 14304, 14352, 14400, 14448, 14496, 14544, 14592, 14640, 14688, 14736, 14784, 14832, 14880, 14928, 14976, 15024, 15072, 15120, 15168, 15216, 15264, 15312, 15360, 15408, 15456, 15504, 15552, 15600, 15648, 15696, 15744, 15792, 15840, 15888, 15936, 15984, 16032, 16080, 16128, 16176, 16224, 16272, 16320, 16368, 16416, 16464, 16512, 16560, 16608, 16656, 16704, 16752, 16800, 16848, 16896, 16944, 16992, 17040, 17088, 17136, 17184, 17232, 17280, 17328, 17376, 17424, 17472, 17520, 17568, 17616, 17664, 17712, 17760, 17808, 17856, 17904, 17952, 18000, 18048, 18096, 18144, 18192, 18240, 18288, 18336, 18384, 18432, 18480, 18528, 18576, 18624, 18672, 18720, 18768, 18816, 18864, 18912, 18960, 19008, 19056, 19104, 19152, 19200, 19248, 19296, 19344, 19392, 19440, 19488, 19536, 19584, 19632, 19680, 19728, 19776, 19824, 19872, 19920, 19968, 20016, 20064, 20112, 20160, 20208, 20256, 20304, 20352, 20400, 20448, 20496, 20544, 20592, 20640, 20688, 20736, 20784, 20832, 20880, 20928, 20976, 21024, 21072, 21120, 21168, 21216, 21264, 21312, 21360, 21408, 21456, 21504, 21552, 21600, 21648, 21696, 21744, 21792, 21840, 21888, 21936, 21984, 22032, 22080, 22128, 22176, 22224, 22272, 22320, 22368, 22416, 22464, 22512, 22560, 22608, 22656, 22704, 22752, 22800, 22848, 22896, 22944, 22992, 23040, 23088, 23136, 23184, 23232, 23280, 23328, 23376, 23424, 23472, 23520, 23568, 23616, 23664, 23712, 23760, 23808, 23856, 23904, 23952, 24000, 24048, 24096, 24144, 24192, 24240, 24288, 24336, 24384, 24432, 24480, 24528, 24576, 24624, 24672, 24720, 24768, 24816, 24864, 24912, 24960, 25008, 25056, 25104, 25152, 25200, 25248, 25296, 25344, 25392, 25440, 25488, 25536, 25584, 25632, 25680, 25728, 25776, 25824, 25872, 25920, 25968, 26016, 26064, 26112, 26160, 26208, 26256, 26304, 26352, 26400, 26448, 26496, 26544, 26592, 26640, 26688, 26736, 26784, 26832, 26880, 26928, 26976, 27024, 27072, 27120, 27168, 27216, 27264, 27312, 27360, 27408, 27456, 27504, 27552, 27600, 27648, 27696, 27744, 27792, 27840, 27888, 27936, 27984, 28032, 28080, 28128, 28176, 28224, 28272, 28320, 28368, 28416, 28464, 28512, 28560, 28608, 28656, 28704, 28752, 28800, 28848, 28896, 28944, 28992, 29040, 29088, 29136, 29184, 29232, 29280, 29328, 29376, 29424, 29472, 29520, 29568, 29616, 29664, 29712, 29760, 29808, 29856, 29904, 29952, 30000, 30048, 30096, 30144, 30192, 30240, 30288, 30336, 30384, 30432, 30480, 30528, 30576, 30624, 30672, 30720, 30768, 30816, 30864, 30912, 30960, 31008, 31056, 31104, 31152, 31200, 31248, 31296, 31344, 31392, 31440, 31488, 31536, 31584, 31632, 31680, 31728, 31776, 31824, 31872, 31920, 31968, 32016, 32064, 32112, 32160, 32208, 32256, 32304, 32352, 32400, 32448, 32496, 32544, 32592, 32640, 32688, 32736, 32784, 32832, 32880, 32928, 32976, 33024, 33072, 33120, 33168, 33216, 33264, 33312, 33360, 33408, 33456, 33504, 33552, 33600, 33648, 33696, 33744, 33792, 33840, 33888, 33936, 33984, 34032, 34080, 34128, 34176, 34224, 34272, 34320, 34368, 34416, 34464, 34512, 34560, 34608, 34656, 34704, 34752, 34800, 34848, 34896, 34944, 34992, 35040, 35088, 35136, 35184, 35232, 35280, 35328, 35376, 35424, 35472, 35520, 35568, 35616, 35664, 35712, 35760, 35808, 35856, 35904, 35952, 36000, 36048, 36096, 36144, 36192, 36240, 36288, 36336, 36384, 36432, 36480, 36528, 36576, 36624, 36672, 36720, 36768, 36816, 36864, 36912, 36960, 37008, 37056, 37104, 37152, 37200, 37248, 37296, 37344, 37392, 37440, 37488, 37536, 37584, 37632, 37680, 37728, 37776, 37824, 37872, 37920, 37968, 38016, 38064, 38112, 38160, 38208, 38256, 38304, 38352, 38400, 38448, 38496, 38544, 38592, 38640, 38688, 38736, 38784, 38832, 38880, 38928, 38976, 39024, 39072, 39120, 39168, 39216, 39264, 39312, 39360, 39408, 39456, 39504, 39552, 39600, 39648, 39696, 39744, 39792, 39840, 39888, 39936, 39984, 40032, 40080, 40128, 40176, 40224, 40272, 40320, 40368, 40416, 40464, 40512, 40560, 40608, 40656, 40704, 40752, 40800, 40848, 40896, 40944, 40992, 41040, 41088, 41136, 41184, 41232, 41280, 41328, 41376, 41424, 41472, 41520, 41568, 41616, 41664, 41712, 41760, 41808, 41856, 41904, 41952, 42000, 42048, 42096, 42144, 42192, 42240, 42288, 42336, 42384, 42432, 42480, 42528, 42576, 42624, 42672, 42720, 42768, 42816, 42864, 42912, 42960, 43008, 43056, 43104, 43152, 43200, 43248, 43296, 43344, 43392, 43440, 43488, 43536, 43584, 43632, 43680, 43728, 43776, 43824, 43872, 43920, 43968, 44016, 44064, 44112, 44160, 44208, 44256, 44304, 44352, 44400, 44448, 44496, 44544, 44592, 44640, 44688, 44736, 44784, 44832, 44880, 44928, 44976, 45024, 45072, 45120, 45168, 45216, 45264, 45312, 45360, 45408, 45456, 45504, 45552, 45600, 45648, 45696, 45744, 45792, 45840, 45888, 45936, 45984, 46032, 46080, 46128, 46176, 46224, 46272, 46320, 46368, 46416, 46464, 46512, 46560, 46608, 46656, 46704, 46752, 46800, 46848, 46896, 46944, 46992, 47040, 47088, 47136, 47184, 47232, 47280, 47328, 47376, 47424, 47472, 47520, 47568, 47616, 47664, 47712, 47760, 47808, 47856, 47904, 47952, 48000, [...], 48

So the LCM for 24 and 48 is 48

Another method to find LCM for numbers 24 and 48 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors: