What is the Least Common Multiple of 94584 and 94604?

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 94604 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 94604, than apply into the LCM equation.

GCF(94584,94604) = 4
LCM(94584,94604) = ( 94584 × 94604) / 4
LCM(94584,94604) = 8948024736 / 4
LCM(94584,94604) = 2237006184

Least Common Multiple (LCM) of 94584 and 94604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94584 and 94604. First we will calculate the prime factors of 94584 and 94604.

Prime Factorization of 94584

Prime Factorization of 94604

Now multiplying the highest exponent prime factors to calculate the LCM of 94584 and 94604.

LCM(94584,94604) = 2³ × 3¹ × 7¹ × 563¹ × 67¹ × 353¹
LCM(94584,94604) = 2237006184