LCM for 11 and 27

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What's the Least Common Multiple (LCM) of 11 and 27?

Answer

LCM of 11 and 27 is
297

First common multiples: 297, 594, 891, …

297 is divisible by both: 297 ÷ 11 = 27, 297 ÷ 27 = 11 — and 27 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 27 and of y/27 by 11.

11 and 27 are coprime (GCF = 1), so their LCM is simply the product: 11 × 27 = 297.

11 — prime

27 = 33

Prime1127Highest power
3—3333
1111—11

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

LCM = 33 × 11 = 297

See Also

FAQ

What's the Least Common Multiple (LCM) of 11 and 27?

LCM of 11 and 27 is 297

How to find the LCM of 11 and 27 using prime factorization?

To find the LCM of 11 and 27, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 297.

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 27: LCM = 297, GCF = 1.