What is the Least Common Multiple of 94521 and 94536?

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 94521 and 94536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94521 and 94536, than apply into the LCM equation.

GCF(94521,94536) = 3
LCM(94521,94536) = ( 94521 × 94536) / 3
LCM(94521,94536) = 8935637256 / 3
LCM(94521,94536) = 2978545752

Least Common Multiple (LCM) of 94521 and 94536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94521 and 94536. First we will calculate the prime factors of 94521 and 94536.

Prime Factorization of 94521

Prime Factorization of 94536

Now multiplying the highest exponent prime factors to calculate the LCM of 94521 and 94536.

LCM(94521,94536) = 3² × 7² × 643¹ × 2³ × 13¹ × 101¹
LCM(94521,94536) = 2978545752