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What is the Least Common Multiple of 8612 and 8627?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 8612 and 8627 is 74295724.

LCM(8612,8627) = 74295724

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Least Common Multiple of 8612 and 8627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8612 and 8627, than apply into the LCM equation.

GCF(8612,8627) = 1
LCM(8612,8627) = ( 8612 × 8627) / 1
LCM(8612,8627) = 74295724 / 1
LCM(8612,8627) = 74295724

Least Common Multiple (LCM) of 8612 and 8627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8612 and 8627. First we will calculate the prime factors of 8612 and 8627.

Prime Factorization of 8612

Prime factors of 8612 are 2, 2153. Prime factorization of 8612 in exponential form is:

8612 = 22 × 21531

Prime Factorization of 8627

Prime factors of 8627 are 8627. Prime factorization of 8627 in exponential form is:

8627 = 86271

Now multiplying the highest exponent prime factors to calculate the LCM of 8612 and 8627.

LCM(8612,8627) = 22 × 21531 × 86271
LCM(8612,8627) = 74295724