LCM for 2 and 15

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What's the Least Common Multiple (LCM) of 2 and 15?

Answer

LCM of 2 and 15 is
30

First common multiples: 30, 60, 90, …

30 is divisible by both: 30 ÷ 2 = 15, 30 ÷ 15 = 2 — and 15 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 15 and of y/15 by 2.

2 and 15 are coprime (GCF = 1), so their LCM is simply the product: 2 × 15 = 30.

2 — prime

15 = 3 × 5

Prime215Highest power
22—2
3—33
5—55

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

LCM = 2 × 3 × 5 = 30

See Also

FAQ

What's the Least Common Multiple (LCM) of 2 and 15?

LCM of 2 and 15 is 30

How to find the LCM of 2 and 15 using prime factorization?

To find the LCM of 2 and 15, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 30.

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 15: LCM = 30, GCF = 1.