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Find the LCM (Least Common Multiple) of 10 and 15

1 Answer

7 votes

Answer: 30

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Step-by-step explanation

When dealing with two numbers, the LCM formula is

LCM = (x*y)/GCF

The GCF of 10 and 15 is 5, so,

LCM = (10*15)/5 = 30

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Another approach

We can list out the multiples of each value.

10, 20, 30, 40, 50, ...

15, 30, 45, 60, 75, ...

We see the LCM is 30

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A third approach

Find the prime factorization of each given value.

10 = 2*5

15 = 3*5

The unique primes are 2, 3, 5. Each shows up at most once. Multiply out the primes to get 2*3*5 = 30 as the LCM

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