LCM for 28 and 56

What's the Least Common Multiple (LCM) of 28 and 56?

Answer: LCM of 28 and 56 is 56

(Fifty-six)

Finding LCM for 28 and 56 using GCF's of these numbers

The first method to find LCM for numbers 28 and 56 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 28 and 56 is 28, so

LCM = (28 × 56) ÷ 28

LCM = 1568 ÷ 28

LCM = 56

Finding LCM for 28 and 56 by Listing Multiples

The second method to find LCM for numbers 28 and 56 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 28: 28, 56, 84, 112

Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, 952, 1008, 1064, 1120, 1176, 1232, 1288, 1344, 1400, 1456, 1512, 1568, 1624, 1680, 1736, 1792, 1848, 1904, 1960, 2016, 2072, 2128, 2184, 2240, 2296, 2352, 2408, 2464, 2520, 2576, 2632, 2688, 2744, 2800, 2856, 2912, 2968, 3024, 3080, 3136, 3192, 3248, 3304, 3360, 3416, 3472, 3528, 3584, 3640, 3696, 3752, 3808, 3864, 3920, 3976, 4032, 4088, 4144, 4200, 4256, 4312, 4368, 4424, 4480, 4536, 4592, 4648, 4704, 4760, 4816, 4872, 4928, 4984, 5040, 5096, 5152, 5208, 5264, 5320, 5376, 5432, 5488, 5544, 5600, 5656, 5712, 5768, 5824, 5880, 5936, 5992, 6048, 6104, 6160, 6216, 6272, 6328, 6384, 6440, 6496, 6552, 6608, 6664, 6720, 6776, 6832, 6888, 6944, 7000, 7056, 7112, 7168, 7224, 7280, 7336, 7392, 7448, 7504, 7560, 7616, 7672, 7728, 7784, 7840, 7896, 7952, 8008, 8064, 8120, 8176, 8232, 8288, 8344, 8400, 8456, 8512, 8568, 8624, 8680, 8736, 8792, 8848, 8904, 8960, 9016, 9072, 9128, 9184, 9240, 9296, 9352, 9408, 9464, 9520, 9576, 9632, 9688, 9744, 9800, 9856, 9912, 9968, 10024, 10080, 10136, 10192, 10248, 10304, 10360, 10416, 10472, 10528, 10584, 10640, 10696, 10752, 10808, 10864, 10920, 10976, 11032, 11088, 11144, 11200, 11256, 11312, 11368, 11424, 11480, 11536, 11592, 11648, 11704, 11760, 11816, 11872, 11928, 11984, 12040, 12096, 12152, 12208, 12264, 12320, 12376, 12432, 12488, 12544, 12600, 12656, 12712, 12768, 12824, 12880, 12936, 12992, 13048, 13104, 13160, 13216, 13272, 13328, 13384, 13440, 13496, 13552, 13608, 13664, 13720, 13776, 13832, 13888, 13944, 14000, 14056, 14112, 14168, 14224, 14280, 14336, 14392, 14448, 14504, 14560, 14616, 14672, 14728, 14784, 14840, 14896, 14952, 15008, 15064, 15120, 15176, 15232, 15288, 15344, 15400, 15456, 15512, 15568, 15624, 15680, 15736, 15792, 15848, 15904, 15960, 16016, 16072, 16128, 16184, 16240, 16296, 16352, 16408, 16464, 16520, 16576, 16632, 16688, 16744, 16800, 16856, 16912, 16968, 17024, 17080, 17136, 17192, 17248, 17304, 17360, 17416, 17472, 17528, 17584, 17640, 17696, 17752, 17808, 17864, 17920, 17976, 18032, 18088, 18144, 18200, 18256, 18312, 18368, 18424, 18480, 18536, 18592, 18648, 18704, 18760, 18816, 18872, 18928, 18984, 19040, 19096, 19152, 19208, 19264, 19320, 19376, 19432, 19488, 19544, 19600, 19656, 19712, 19768, 19824, 19880, 19936, 19992, 20048, 20104, 20160, 20216, 20272, 20328, 20384, 20440, 20496, 20552, 20608, 20664, 20720, 20776, 20832, 20888, 20944, 21000, 21056, 21112, 21168, 21224, 21280, 21336, 21392, 21448, 21504, 21560, 21616, 21672, 21728, 21784, 21840, 21896, 21952, 22008, 22064, 22120, 22176, 22232, 22288, 22344, 22400, 22456, 22512, 22568, 22624, 22680, 22736, 22792, 22848, 22904, 22960, 23016, 23072, 23128, 23184, 23240, 23296, 23352, 23408, 23464, 23520, 23576, 23632, 23688, 23744, 23800, 23856, 23912, 23968, 24024, 24080, 24136, 24192, 24248, 24304, 24360, 24416, 24472, 24528, 24584, 24640, 24696, 24752, 24808, 24864, 24920, 24976, 25032, 25088, 25144, 25200, 25256, 25312, 25368, 25424, 25480, 25536, 25592, 25648, 25704, 25760, 25816, 25872, 25928, 25984, 26040, 26096, 26152, 26208, 26264, 26320, 26376, 26432, 26488, 26544, 26600, 26656, 26712, 26768, 26824, 26880, 26936, 26992, 27048, 27104, 27160, 27216, 27272, 27328, 27384, 27440, 27496, 27552, 27608, 27664, 27720, 27776, 27832, 27888, 27944, 28000, 28056, 28112, 28168, 28224, 28280, 28336, 28392, 28448, 28504, 28560, 28616, 28672, 28728, 28784, 28840, 28896, 28952, 29008, 29064, 29120, 29176, 29232, 29288, 29344, 29400, 29456, 29512, 29568, 29624, 29680, 29736, 29792, 29848, 29904, 29960, 30016, 30072, 30128, 30184, 30240, 30296, 30352, 30408, 30464, 30520, 30576, 30632, 30688, 30744, 30800, 30856, 30912, 30968, 31024, 31080, 31136, 31192, 31248, 31304, 31360, 31416, 31472, 31528, 31584, 31640, 31696, 31752, 31808, 31864, 31920, 31976, 32032, 32088, 32144, 32200, 32256, 32312, 32368, 32424, 32480, 32536, 32592, 32648, 32704, 32760, 32816, 32872, 32928, 32984, 33040, 33096, 33152, 33208, 33264, 33320, 33376, 33432, 33488, 33544, 33600, 33656, 33712, 33768, 33824, 33880, 33936, 33992, 34048, 34104, 34160, 34216, 34272, 34328, 34384, 34440, 34496, 34552, 34608, 34664, 34720, 34776, 34832, 34888, 34944, 35000, 35056, 35112, 35168, 35224, 35280, 35336, 35392, 35448, 35504, 35560, 35616, 35672, 35728, 35784, 35840, 35896, 35952, 36008, 36064, 36120, 36176, 36232, 36288, 36344, 36400, 36456, 36512, 36568, 36624, 36680, 36736, 36792, 36848, 36904, 36960, 37016, 37072, 37128, 37184, 37240, 37296, 37352, 37408, 37464, 37520, 37576, 37632, 37688, 37744, 37800, 37856, 37912, 37968, 38024, 38080, 38136, 38192, 38248, 38304, 38360, 38416, 38472, 38528, 38584, 38640, 38696, 38752, 38808, 38864, 38920, 38976, 39032, 39088, 39144, 39200, 39256, 39312, 39368, 39424, 39480, 39536, 39592, 39648, 39704, 39760, 39816, 39872, 39928, 39984, 40040, 40096, 40152, 40208, 40264, 40320, 40376, 40432, 40488, 40544, 40600, 40656, 40712, 40768, 40824, 40880, 40936, 40992, 41048, 41104, 41160, 41216, 41272, 41328, 41384, 41440, 41496, 41552, 41608, 41664, 41720, 41776, 41832, 41888, 41944, 42000, 42056, 42112, 42168, 42224, 42280, 42336, 42392, 42448, 42504, 42560, 42616, 42672, 42728, 42784, 42840, 42896, 42952, 43008, 43064, 43120, 43176, 43232, 43288, 43344, 43400, 43456, 43512, 43568, 43624, 43680, 43736, 43792, 43848, 43904, 43960, 44016, 44072, 44128, 44184, 44240, 44296, 44352, 44408, 44464, 44520, 44576, 44632, 44688, 44744, 44800, 44856, 44912, 44968, 45024, 45080, 45136, 45192, 45248, 45304, 45360, 45416, 45472, 45528, 45584, 45640, 45696, 45752, 45808, 45864, 45920, 45976, 46032, 46088, 46144, 46200, 46256, 46312, 46368, 46424, 46480, 46536, 46592, 46648, 46704, 46760, 46816, 46872, 46928, 46984, 47040, 47096, 47152, 47208, 47264, 47320, 47376, 47432, 47488, 47544, 47600, 47656, 47712, 47768, 47824, 47880, 47936, 47992, 48048, 48104, 48160, 48216, 48272, 48328, 48384, 48440, 48496, 48552, 48608, 48664, 48720, 48776, 48832, 48888, 48944, 49000, 49056, 49112, 49168, 49224, 49280, 49336, 49392, 49448, 49504, 49560, 49616, 49672, 49728, 49784, 49840, 49896, 49952, 50008, 50064, 50120, 50176, 50232, 50288, 50344, 50400, 50456, 50512, 50568, 50624, 50680, 50736, 50792, 50848, 50904, 50960, 51016, 51072, 51128, 51184, 51240, 51296, 51352, 51408, 51464, 51520, 51576, 51632, 51688, 51744, 51800, 51856, 51912, 51968, 52024, 52080, 52136, 52192, 52248, 52304, 52360, 52416, 52472, 52528, 52584, 52640, 52696, 52752, 52808, 52864, 52920, 52976, 53032, 53088, 53144, 53200, 53256, 53312, 53368, 53424, 53480, 53536, 53592, 53648, 53704, 53760, 53816, 53872, 53928, 53984, 54040, 54096, 54152, 54208, 54264, 54320, 54376, 54432, 54488, 54544, 54600, 54656, 54712, 54768, 54824, 54880, 54936, 54992, 55048, 55104, 55160, 55216, 55272, 55328, 55384, 55440, 55496, 55552, 55608, 55664, 55720, 55776, 55832, 55888, 55944, 56000, [...], 56

So the LCM for 28 and 56 is 56

Finding LCM for 28 and 56 by Prime Factorization

Another method to find LCM for numbers 28 and 56 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 28: 2, 2, 7 (exponent form: 22, 71)

All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)

23 × 71 = 56

LCM Table

Number 1Number 2LCM
1356728
145656
1556840
1656
1756952
1856504
19561064
2056280
2156
2256616
23561288
2456
25561400
2656728
27561512
2856
29561624
3056840
31561736
3256
3356
3456952
3556
3656
37562072
38561064
39562184
4056
41562296
4256

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 28 and 56? (The answer is: 56). Select the first number (e.g. '28') and the second number (e.g. '56'). 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 28 and 56?

LCM of 28 and 56 is 56