LCM for 31 and 56

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What's the Least Common Multiple (LCM) of 31 and 56?

Answer

LCM of 31 and 56 is
1,736

First common multiples: 1,736; 3,472; 5,208; …

1,736 is divisible by both: 1,736 ÷ 31 = 56; 1,736 ÷ 56 = 31 — and 56 and 31 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/31 by 56 and of y/56 by 31.

31 and 56 are coprime (GCF = 1), so their LCM is simply the product: 31 × 56 = 1,736.

31 — prime

56 = 23 × 7

Prime3156Highest power
2—2323
7—77
3131—31

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 23 × 7 × 31 = 1,736

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LCM Table

Number 1Number 2LCM
31411,271
31421,302
31431,333
31441,364
31451,395
31461,426
31471,457
31481,488
31491,519
31501,550
31511,581
31521,612
31531,643
31541,674
31551,705
31561,736
31571,767
31581,798
31591,829
31601,860
31611,891
316262
31631,953
31641,984
31652,015
31662,046
31672,077
31682,108
31692,139
31702,170

FAQ

What's the Least Common Multiple (LCM) of 31 and 56?

LCM of 31 and 56 is 1,736

How to find the LCM of 31 and 56 using prime factorization?

To find the LCM of 31 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,736.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 31 and 56: LCM = 1,736, GCF = 1.

See Also