What is the Least Common Multiple of 94509 and 94521?

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 94509 and 94521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94509 and 94521, than apply into the LCM equation.

GCF(94509,94521) = 3
LCM(94509,94521) = ( 94509 × 94521) / 3
LCM(94509,94521) = 8933085189 / 3
LCM(94509,94521) = 2977695063

Least Common Multiple (LCM) of 94509 and 94521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94509 and 94521. First we will calculate the prime factors of 94509 and 94521.

Prime Factorization of 94509

Prime Factorization of 94521

Now multiplying the highest exponent prime factors to calculate the LCM of 94509 and 94521.

LCM(94509,94521) = 3² × 10501¹ × 7² × 643¹
LCM(94509,94521) = 2977695063