Least Common Multiple (LCM) Calculator



LCM(2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 23, 25, 27, 29, 31, 32) = 25×33×52×7×11×13×17×19×23×29×31 = 144403552893600


2 = 2
3 = 3
4 = 22
5 = 5
7 = 7
8 = 23
9 = 32
11 = 11
13 = 13
16 = 24
17 = 17
19 = 19
23 = 23
25 = 52
27 = 33
29 = 29
31 = 31
32 = 25
LCM = 25×33×52×7×11×13×17×19×23×29×31 = 144403552893600

144403552893600 / 2 = 72201776446800

144403552893600 / 3 = 48134517631200

144403552893600 / 4 = 36100888223400

144403552893600 / 5 = 28880710578720

144403552893600 / 7 = 20629078984800

144403552893600 / 8 = 18050444111700

144403552893600 / 9 = 16044839210400

144403552893600 / 11 = 13127595717600

144403552893600 / 13 = 11107965607200

144403552893600 / 16 = 9025222055850

144403552893600 / 17 = 8494326640800

144403552893600 / 19 = 7600186994400

144403552893600 / 23 = 6278415343200

144403552893600 / 25 = 5776142115744

144403552893600 / 27 = 5348279736800

144403552893600 / 29 = 4979432858400

144403552893600 / 31 = 4658179125600

144403552893600 / 32 = 4512611027925

What is LCM?

The least common multiple (also called the lowest common multiple, or LCM) of two or more integer numbers is the smallest positive integer divisible by all these numbers.

So, how do you find the LCM of two numbers? It's simpler than you might think. First, list the prime factors of each number. Then, identify the factors that appear in any of the numbers. Finally, multiply each prime factor raised to the highest power it appears in any of the numbers. This will give you the LCM of the two numbers.

For three or more numbers, the process is the same — gather all prime factors and use the highest power of each.

See also the divisors of the numbers 2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 23, 25, 27, 29, 31, 32, 144403552893600.

Questions and word problems involving LCM



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