LCM for 11 and 49

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What's the Least Common Multiple (LCM) of 11 and 49?

Answer

LCM of 11 and 49 is
539

First common multiples: 539; 1,078; 1,617; …

539 is divisible by both: 539 ÷ 11 = 49, 539 ÷ 49 = 11 — and 49 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 49 and of y/49 by 11.

11 and 49 are coprime (GCF = 1), so their LCM is simply the product: 11 × 49 = 539.

11 — prime

49 = 72

Prime1149Highest power
7—7272
1111—11

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

LCM = 72 × 11 = 539

See Also

FAQ

What's the Least Common Multiple (LCM) of 11 and 49?

LCM of 11 and 49 is 539

How to find the LCM of 11 and 49 using prime factorization?

To find the LCM of 11 and 49, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 539.

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 49: LCM = 539, GCF = 1.