LCM for 11 and 66

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What's the Least Common Multiple (LCM) of 11 and 66?

Answer

LCM of 11 and 66 is
66

First common multiples: 66, 132, 198, …

As a common denominator: multiply the top and bottom of x/11 by 6.

11 divides 66 (66 ÷ 11 = 6), so the LCM is the larger number itself.

11 — prime

66 = 2 × 3 × 11

Prime1166Highest power
2—22
3—33
11111111

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

LCM = 2 × 3 × 11 = 66

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FAQ

What's the Least Common Multiple (LCM) of 11 and 66?

LCM of 11 and 66 is 66

How to find the LCM of 11 and 66 using prime factorization?

To find the LCM of 11 and 66, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 66.

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 66: LCM = 66, GCF = 11.