What is the Least Common Multiple of 56564 and 56572?

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 56564 and 56572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56564 and 56572, than apply into the LCM equation.

GCF(56564,56572) = 4
LCM(56564,56572) = ( 56564 × 56572) / 4
LCM(56564,56572) = 3199938608 / 4
LCM(56564,56572) = 799984652

Least Common Multiple (LCM) of 56564 and 56572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56564 and 56572. First we will calculate the prime factors of 56564 and 56572.

Prime Factorization of 56564

Prime Factorization of 56572

Now multiplying the highest exponent prime factors to calculate the LCM of 56564 and 56572.

LCM(56564,56572) = 2² × 79¹ × 179¹ × 14143¹
LCM(56564,56572) = 799984652