LCM for 24 and 48

What's the Least Common Multiple (LCM) of 24 and 48?

Answer: LCM of 24 and 48 is 48

(Forty-eight)

Finding LCM for 24 and 48 using GCF's of these numbers

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

Finding LCM for 24 and 48 by Listing Multiples

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

Finding LCM for 24 and 48 by Prime Factorization

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:

All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

24 × 31 = 48

LCM Table

Number 1Number 2LCM
948144
1048240
1148528
1248
1348624
1448336
1548240
1648
1748816
1848
1948912
2048
2148336
2248528
23481104
2448
25481200
2648
2748432
2848336
29481392
3048240
31481488
3248
3348528
3448
35481680
3648
37481776
3848912

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 24 and 48? (The answer is: 48). Select the first number (e.g. '24') and the second number (e.g. '48'). After that hit the 'Calculate' button.
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

FAQ

What's the Least Common Multiple (LCM) of 24 and 48?

LCM of 24 and 48 is 48