LCM for 48 and 96

What's the Least Common Multiple (LCM) of 48 and 96?

Answer: LCM of 48 and 96 is 96

(Ninety-six)

Finding LCM for 48 and 96 using GCF's of these numbers

The first method to find LCM for numbers 48 and 96 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 96 is 48, so

LCM = (48 × 96) ÷ 48

LCM = 4608 ÷ 48

LCM = 96

Finding LCM for 48 and 96 by Listing Multiples

The second method to find LCM for numbers 48 and 96 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 48: 48, 96, 144, 192

Multiples of 96: 96, 192, 288, 384, 480, 576, 672, 768, 864, 960, 1056, 1152, 1248, 1344, 1440, 1536, 1632, 1728, 1824, 1920, 2016, 2112, 2208, 2304, 2400, 2496, 2592, 2688, 2784, 2880, 2976, 3072, 3168, 3264, 3360, 3456, 3552, 3648, 3744, 3840, 3936, 4032, 4128, 4224, 4320, 4416, 4512, 4608, 4704, 4800, 4896, 4992, 5088, 5184, 5280, 5376, 5472, 5568, 5664, 5760, 5856, 5952, 6048, 6144, 6240, 6336, 6432, 6528, 6624, 6720, 6816, 6912, 7008, 7104, 7200, 7296, 7392, 7488, 7584, 7680, 7776, 7872, 7968, 8064, 8160, 8256, 8352, 8448, 8544, 8640, 8736, 8832, 8928, 9024, 9120, 9216, 9312, 9408, 9504, 9600, 9696, 9792, 9888, 9984, 10080, 10176, 10272, 10368, 10464, 10560, 10656, 10752, 10848, 10944, 11040, 11136, 11232, 11328, 11424, 11520, 11616, 11712, 11808, 11904, 12000, 12096, 12192, 12288, 12384, 12480, 12576, 12672, 12768, 12864, 12960, 13056, 13152, 13248, 13344, 13440, 13536, 13632, 13728, 13824, 13920, 14016, 14112, 14208, 14304, 14400, 14496, 14592, 14688, 14784, 14880, 14976, 15072, 15168, 15264, 15360, 15456, 15552, 15648, 15744, 15840, 15936, 16032, 16128, 16224, 16320, 16416, 16512, 16608, 16704, 16800, 16896, 16992, 17088, 17184, 17280, 17376, 17472, 17568, 17664, 17760, 17856, 17952, 18048, 18144, 18240, 18336, 18432, 18528, 18624, 18720, 18816, 18912, 19008, 19104, 19200, 19296, 19392, 19488, 19584, 19680, 19776, 19872, 19968, 20064, 20160, 20256, 20352, 20448, 20544, 20640, 20736, 20832, 20928, 21024, 21120, 21216, 21312, 21408, 21504, 21600, 21696, 21792, 21888, 21984, 22080, 22176, 22272, 22368, 22464, 22560, 22656, 22752, 22848, 22944, 23040, 23136, 23232, 23328, 23424, 23520, 23616, 23712, 23808, 23904, 24000, 24096, 24192, 24288, 24384, 24480, 24576, 24672, 24768, 24864, 24960, 25056, 25152, 25248, 25344, 25440, 25536, 25632, 25728, 25824, 25920, 26016, 26112, 26208, 26304, 26400, 26496, 26592, 26688, 26784, 26880, 26976, 27072, 27168, 27264, 27360, 27456, 27552, 27648, 27744, 27840, 27936, 28032, 28128, 28224, 28320, 28416, 28512, 28608, 28704, 28800, 28896, 28992, 29088, 29184, 29280, 29376, 29472, 29568, 29664, 29760, 29856, 29952, 30048, 30144, 30240, 30336, 30432, 30528, 30624, 30720, 30816, 30912, 31008, 31104, 31200, 31296, 31392, 31488, 31584, 31680, 31776, 31872, 31968, 32064, 32160, 32256, 32352, 32448, 32544, 32640, 32736, 32832, 32928, 33024, 33120, 33216, 33312, 33408, 33504, 33600, 33696, 33792, 33888, 33984, 34080, 34176, 34272, 34368, 34464, 34560, 34656, 34752, 34848, 34944, 35040, 35136, 35232, 35328, 35424, 35520, 35616, 35712, 35808, 35904, 36000, 36096, 36192, 36288, 36384, 36480, 36576, 36672, 36768, 36864, 36960, 37056, 37152, 37248, 37344, 37440, 37536, 37632, 37728, 37824, 37920, 38016, 38112, 38208, 38304, 38400, 38496, 38592, 38688, 38784, 38880, 38976, 39072, 39168, 39264, 39360, 39456, 39552, 39648, 39744, 39840, 39936, 40032, 40128, 40224, 40320, 40416, 40512, 40608, 40704, 40800, 40896, 40992, 41088, 41184, 41280, 41376, 41472, 41568, 41664, 41760, 41856, 41952, 42048, 42144, 42240, 42336, 42432, 42528, 42624, 42720, 42816, 42912, 43008, 43104, 43200, 43296, 43392, 43488, 43584, 43680, 43776, 43872, 43968, 44064, 44160, 44256, 44352, 44448, 44544, 44640, 44736, 44832, 44928, 45024, 45120, 45216, 45312, 45408, 45504, 45600, 45696, 45792, 45888, 45984, 46080, 46176, 46272, 46368, 46464, 46560, 46656, 46752, 46848, 46944, 47040, 47136, 47232, 47328, 47424, 47520, 47616, 47712, 47808, 47904, 48000, 48096, 48192, 48288, 48384, 48480, 48576, 48672, 48768, 48864, 48960, 49056, 49152, 49248, 49344, 49440, 49536, 49632, 49728, 49824, 49920, 50016, 50112, 50208, 50304, 50400, 50496, 50592, 50688, 50784, 50880, 50976, 51072, 51168, 51264, 51360, 51456, 51552, 51648, 51744, 51840, 51936, 52032, 52128, 52224, 52320, 52416, 52512, 52608, 52704, 52800, 52896, 52992, 53088, 53184, 53280, 53376, 53472, 53568, 53664, 53760, 53856, 53952, 54048, 54144, 54240, 54336, 54432, 54528, 54624, 54720, 54816, 54912, 55008, 55104, 55200, 55296, 55392, 55488, 55584, 55680, 55776, 55872, 55968, 56064, 56160, 56256, 56352, 56448, 56544, 56640, 56736, 56832, 56928, 57024, 57120, 57216, 57312, 57408, 57504, 57600, 57696, 57792, 57888, 57984, 58080, 58176, 58272, 58368, 58464, 58560, 58656, 58752, 58848, 58944, 59040, 59136, 59232, 59328, 59424, 59520, 59616, 59712, 59808, 59904, 60000, 60096, 60192, 60288, 60384, 60480, 60576, 60672, 60768, 60864, 60960, 61056, 61152, 61248, 61344, 61440, 61536, 61632, 61728, 61824, 61920, 62016, 62112, 62208, 62304, 62400, 62496, 62592, 62688, 62784, 62880, 62976, 63072, 63168, 63264, 63360, 63456, 63552, 63648, 63744, 63840, 63936, 64032, 64128, 64224, 64320, 64416, 64512, 64608, 64704, 64800, 64896, 64992, 65088, 65184, 65280, 65376, 65472, 65568, 65664, 65760, 65856, 65952, 66048, 66144, 66240, 66336, 66432, 66528, 66624, 66720, 66816, 66912, 67008, 67104, 67200, 67296, 67392, 67488, 67584, 67680, 67776, 67872, 67968, 68064, 68160, 68256, 68352, 68448, 68544, 68640, 68736, 68832, 68928, 69024, 69120, 69216, 69312, 69408, 69504, 69600, 69696, 69792, 69888, 69984, 70080, 70176, 70272, 70368, 70464, 70560, 70656, 70752, 70848, 70944, 71040, 71136, 71232, 71328, 71424, 71520, 71616, 71712, 71808, 71904, 72000, 72096, 72192, 72288, 72384, 72480, 72576, 72672, 72768, 72864, 72960, 73056, 73152, 73248, 73344, 73440, 73536, 73632, 73728, 73824, 73920, 74016, 74112, 74208, 74304, 74400, 74496, 74592, 74688, 74784, 74880, 74976, 75072, 75168, 75264, 75360, 75456, 75552, 75648, 75744, 75840, 75936, 76032, 76128, 76224, 76320, 76416, 76512, 76608, 76704, 76800, 76896, 76992, 77088, 77184, 77280, 77376, 77472, 77568, 77664, 77760, 77856, 77952, 78048, 78144, 78240, 78336, 78432, 78528, 78624, 78720, 78816, 78912, 79008, 79104, 79200, 79296, 79392, 79488, 79584, 79680, 79776, 79872, 79968, 80064, 80160, 80256, 80352, 80448, 80544, 80640, 80736, 80832, 80928, 81024, 81120, 81216, 81312, 81408, 81504, 81600, 81696, 81792, 81888, 81984, 82080, 82176, 82272, 82368, 82464, 82560, 82656, 82752, 82848, 82944, 83040, 83136, 83232, 83328, 83424, 83520, 83616, 83712, 83808, 83904, 84000, 84096, 84192, 84288, 84384, 84480, 84576, 84672, 84768, 84864, 84960, 85056, 85152, 85248, 85344, 85440, 85536, 85632, 85728, 85824, 85920, 86016, 86112, 86208, 86304, 86400, 86496, 86592, 86688, 86784, 86880, 86976, 87072, 87168, 87264, 87360, 87456, 87552, 87648, 87744, 87840, 87936, 88032, 88128, 88224, 88320, 88416, 88512, 88608, 88704, 88800, 88896, 88992, 89088, 89184, 89280, 89376, 89472, 89568, 89664, 89760, 89856, 89952, 90048, 90144, 90240, 90336, 90432, 90528, 90624, 90720, 90816, 90912, 91008, 91104, 91200, 91296, 91392, 91488, 91584, 91680, 91776, 91872, 91968, 92064, 92160, 92256, 92352, 92448, 92544, 92640, 92736, 92832, 92928, 93024, 93120, 93216, 93312, 93408, 93504, 93600, 93696, 93792, 93888, 93984, 94080, 94176, 94272, 94368, 94464, 94560, 94656, 94752, 94848, 94944, 95040, 95136, 95232, 95328, 95424, 95520, 95616, 95712, 95808, 95904, 96000, [...], 96

So the LCM for 48 and 96 is 96

Finding LCM for 48 and 96 by Prime Factorization

Another method to find LCM for numbers 48 and 96 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 96: 2, 2, 2, 2, 2, 3 (exponent form: 25, 31)

25 × 31 = 96

See Also

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 48 and 96? (The answer is: 96). Select the first number (e.g. '48') and the second number (e.g. '96'). 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

LCM Table

Number 1Number 2LCM
33961056
34961632
35963360
3696288
37963552
38961824
39961248
4096480
41963936
4296672
43964128
44961056
45961440
46962208
47964512
4896
49964704
50962400
51961632
52961248
53965088
5496864
55965280
5696672
57961824
58962784
59965664
6096
61965856
62962976

FAQ

What's the Least Common Multiple (LCM) of 48 and 96?

LCM of 48 and 96 is 96