What is the Least Common Multiple of 87612 and 87623?

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 87612 and 87623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87612 and 87623, than apply into the LCM equation.

GCF(87612,87623) = 1
LCM(87612,87623) = ( 87612 × 87623) / 1
LCM(87612,87623) = 7676826276 / 1
LCM(87612,87623) = 7676826276

Least Common Multiple (LCM) of 87612 and 87623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87612 and 87623. First we will calculate the prime factors of 87612 and 87623.

Prime Factorization of 87612

Prime Factorization of 87623

Now multiplying the highest exponent prime factors to calculate the LCM of 87612 and 87623.

LCM(87612,87623) = 2² × 3¹ × 7² × 149¹ × 87623¹
LCM(87612,87623) = 7676826276