LCM for 27 and 125

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What's the Least Common Multiple (LCM) of 27 and 125?

Answer

LCM of 27 and 125 is
3,375

First common multiples: 3,375; 6,750; 10,125; …

3,375 is divisible by both: 3,375 ÷ 27 = 125; 3,375 ÷ 125 = 27 — and 125 and 27 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/27 by 125 and of y/125 by 27.

27 and 125 are coprime (GCF = 1), so their LCM is simply the product: 27 × 125 = 3,375.

27 = 33

125 = 53

Prime27125Highest power
333—33
5—5353

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

LCM = 33 × 53 = 3,375

See Also

FAQ

What's the Least Common Multiple (LCM) of 27 and 125?

LCM of 27 and 125 is 3,375

How to find the LCM of 27 and 125 using prime factorization?

To find the LCM of 27 and 125, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,375.

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 27 and 125: LCM = 3,375, GCF = 1.