LCM for 11 and 52

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What's the Least Common Multiple (LCM) of 11 and 52?

Answer

LCM of 11 and 52 is
572

First common multiples: 572; 1,144; 1,716; …

572 is divisible by both: 572 ÷ 11 = 52, 572 ÷ 52 = 11 — and 52 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 52 and of y/52 by 11.

11 and 52 are coprime (GCF = 1), so their LCM is simply the product: 11 × 52 = 572.

11 — prime

52 = 22 × 13

Prime1152Highest power
2—2222
1111—11
13—1313

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

LCM = 22 × 11 × 13 = 572

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FAQ

What's the Least Common Multiple (LCM) of 11 and 52?

LCM of 11 and 52 is 572

How to find the LCM of 11 and 52 using prime factorization?

To find the LCM of 11 and 52, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 572.

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 52: LCM = 572, GCF = 1.