What is the Least Common Multiple of 88612 and 88619?

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 88612 and 88619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88612 and 88619, than apply into the LCM equation.

GCF(88612,88619) = 1
LCM(88612,88619) = ( 88612 × 88619) / 1
LCM(88612,88619) = 7852706828 / 1
LCM(88612,88619) = 7852706828

Least Common Multiple (LCM) of 88612 and 88619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88612 and 88619. First we will calculate the prime factors of 88612 and 88619.

Prime Factorization of 88612

Prime Factorization of 88619

Now multiplying the highest exponent prime factors to calculate the LCM of 88612 and 88619.

LCM(88612,88619) = 2² × 22153¹ × 23¹ × 3853¹
LCM(88612,88619) = 7852706828