LCM for 2 and 27

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What's the Least Common Multiple (LCM) of 2 and 27?

Answer

LCM of 2 and 27 is
54

First common multiples: 54, 108, 162, …

54 is divisible by both: 54 ÷ 2 = 27, 54 ÷ 27 = 2 — and 27 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/2 by 27 and of y/27 by 2.

2 and 27 are coprime (GCF = 1), so their LCM is simply the product: 2 × 27 = 54.

2 — prime

27 = 33

Prime227Highest power
22—2
3—3333

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

LCM = 2 × 33 = 54

See Also

FAQ

What's the Least Common Multiple (LCM) of 2 and 27?

LCM of 2 and 27 is 54

How to find the LCM of 2 and 27 using prime factorization?

To find the LCM of 2 and 27, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 54.

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 2 and 27: LCM = 54, GCF = 1.