LCM for 11 and 56

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What's the Least Common Multiple (LCM) of 11 and 56?

Answer

LCM of 11 and 56 is
616

First common multiples: 616; 1,232; 1,848; …

616 is divisible by both: 616 ÷ 11 = 56, 616 ÷ 56 = 11 — and 56 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/11 by 56 and of y/56 by 11.

11 and 56 are coprime (GCF = 1), so their LCM is simply the product: 11 × 56 = 616.

11 — prime

56 = 23 × 7

Prime1156Highest power
2—2323
7—77
1111—11

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

LCM = 23 × 7 × 11 = 616

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FAQ

What's the Least Common Multiple (LCM) of 11 and 56?

LCM of 11 and 56 is 616

How to find the LCM of 11 and 56 using prime factorization?

To find the LCM of 11 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 616.

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 11 and 56: LCM = 616, GCF = 1.