What is the Least Common Multiple of 94612 and 94619?

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 94612 and 94619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94612 and 94619, than apply into the LCM equation.

GCF(94612,94619) = 7
LCM(94612,94619) = ( 94612 × 94619) / 7
LCM(94612,94619) = 8952092828 / 7
LCM(94612,94619) = 1278870404

Least Common Multiple (LCM) of 94612 and 94619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94612 and 94619. First we will calculate the prime factors of 94612 and 94619.

Prime Factorization of 94612

Prime Factorization of 94619

Now multiplying the highest exponent prime factors to calculate the LCM of 94612 and 94619.

LCM(94612,94619) = 2² × 7² × 31¹ × 109¹ × 1931¹
LCM(94612,94619) = 1278870404