What is the Least Common Multiple of 87566 and 87572?

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 87566 and 87572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87566 and 87572, than apply into the LCM equation.

GCF(87566,87572) = 2
LCM(87566,87572) = ( 87566 × 87572) / 2
LCM(87566,87572) = 7668329752 / 2
LCM(87566,87572) = 3834164876

Least Common Multiple (LCM) of 87566 and 87572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87566 and 87572. First we will calculate the prime factors of 87566 and 87572.

Prime Factorization of 87566

Prime Factorization of 87572

Now multiplying the highest exponent prime factors to calculate the LCM of 87566 and 87572.

LCM(87566,87572) = 2² × 43783¹ × 21893¹
LCM(87566,87572) = 3834164876