LCM for 15 and 27

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What's the Least Common Multiple (LCM) of 15 and 27?

Answer

LCM of 15 and 27 is
135

First common multiples: 135, 270, 405, …

135 is divisible by both: 135 ÷ 15 = 9, 135 ÷ 27 = 5 — and 9 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/15 by 9 and of y/27 by 5.

15 = 3 × 5

27 = 33

Prime1527Highest power
333333
55—5

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

LCM = 33 × 5 = 135

See Also

FAQ

What's the Least Common Multiple (LCM) of 15 and 27?

LCM of 15 and 27 is 135

How to find the LCM of 15 and 27 using prime factorization?

To find the LCM of 15 and 27, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 135.

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 15 and 27: LCM = 135, GCF = 3.