What is the Least Common Multiple of 94584 and 94599?

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 94584 and 94599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94584 and 94599, than apply into the LCM equation.

GCF(94584,94599) = 3
LCM(94584,94599) = ( 94584 × 94599) / 3
LCM(94584,94599) = 8947551816 / 3
LCM(94584,94599) = 2982517272

Least Common Multiple (LCM) of 94584 and 94599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94584 and 94599. First we will calculate the prime factors of 94584 and 94599.

Prime Factorization of 94584

Prime Factorization of 94599

Now multiplying the highest exponent prime factors to calculate the LCM of 94584 and 94599.

LCM(94584,94599) = 2³ × 3² × 7¹ × 563¹ × 23¹ × 457¹
LCM(94584,94599) = 2982517272