What is the Least Common Multiple of 56652 and 56664?

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 56652 and 56664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56652 and 56664, than apply into the LCM equation.

GCF(56652,56664) = 12
LCM(56652,56664) = ( 56652 × 56664) / 12
LCM(56652,56664) = 3210128928 / 12
LCM(56652,56664) = 267510744

Least Common Multiple (LCM) of 56652 and 56664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56652 and 56664. First we will calculate the prime factors of 56652 and 56664.

Prime Factorization of 56652

Prime Factorization of 56664

Now multiplying the highest exponent prime factors to calculate the LCM of 56652 and 56664.

LCM(56652,56664) = 2³ × 3² × 4721¹ × 787¹
LCM(56652,56664) = 267510744