What is the Least Common Multiple of 56656 and 56676?

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 56656 and 56676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56656 and 56676, than apply into the LCM equation.

GCF(56656,56676) = 4
LCM(56656,56676) = ( 56656 × 56676) / 4
LCM(56656,56676) = 3211035456 / 4
LCM(56656,56676) = 802758864

Least Common Multiple (LCM) of 56656 and 56676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56656 and 56676. First we will calculate the prime factors of 56656 and 56676.

Prime Factorization of 56656

Prime Factorization of 56676

Now multiplying the highest exponent prime factors to calculate the LCM of 56656 and 56676.

LCM(56656,56676) = 2⁴ × 3541¹ × 3¹ × 4723¹
LCM(56656,56676) = 802758864