What is the Least Common Multiple of 8676 and 8688?

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 8676 and 8688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8676 and 8688, than apply into the LCM equation.

GCF(8676,8688) = 12
LCM(8676,8688) = ( 8676 × 8688) / 12
LCM(8676,8688) = 75377088 / 12
LCM(8676,8688) = 6281424

Least Common Multiple (LCM) of 8676 and 8688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8676 and 8688. First we will calculate the prime factors of 8676 and 8688.

Prime Factorization of 8676

Prime Factorization of 8688

Now multiplying the highest exponent prime factors to calculate the LCM of 8676 and 8688.

LCM(8676,8688) = 2⁴ × 3² × 241¹ × 181¹
LCM(8676,8688) = 6281424