What is the Least Common Multiple of 94616 and 94627?

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 94616 and 94627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94616 and 94627, than apply into the LCM equation.

GCF(94616,94627) = 1
LCM(94616,94627) = ( 94616 × 94627) / 1
LCM(94616,94627) = 8953228232 / 1
LCM(94616,94627) = 8953228232

Least Common Multiple (LCM) of 94616 and 94627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94616 and 94627. First we will calculate the prime factors of 94616 and 94627.

Prime Factorization of 94616

Prime Factorization of 94627

Now multiplying the highest exponent prime factors to calculate the LCM of 94616 and 94627.

LCM(94616,94627) = 2³ × 11827¹ × 13¹ × 29¹ × 251¹
LCM(94616,94627) = 8953228232