What is the Least Common Multiple of 8672 and 8678?

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 of 8672 and 8678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8672 and 8678, than apply into the LCM equation.

GCF(8672,8678) = 2
LCM(8672,8678) = ( 8672 × 8678) / 2
LCM(8672,8678) = 75255616 / 2
LCM(8672,8678) = 37627808

Least Common Multiple (LCM) of 8672 and 8678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8672 and 8678. First we will calculate the prime factors of 8672 and 8678.

Prime Factorization of 8672

Prime Factorization of 8678

Now multiplying the highest exponent prime factors to calculate the LCM of 8672 and 8678.

LCM(8672,8678) = 2⁵ × 271¹ × 4339¹
LCM(8672,8678) = 37627808