What is the Least Common Multiple of 56672 and 56688?

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 56672 and 56688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56672 and 56688, than apply into the LCM equation.

GCF(56672,56688) = 16
LCM(56672,56688) = ( 56672 × 56688) / 16
LCM(56672,56688) = 3212622336 / 16
LCM(56672,56688) = 200788896

Least Common Multiple (LCM) of 56672 and 56688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56672 and 56688. First we will calculate the prime factors of 56672 and 56688.

Prime Factorization of 56672

Prime Factorization of 56688

Now multiplying the highest exponent prime factors to calculate the LCM of 56672 and 56688.

LCM(56672,56688) = 2⁵ × 7¹ × 11¹ × 23¹ × 3¹ × 1181¹
LCM(56672,56688) = 200788896