What is the Least Common Multiple of 94572 and 94584?

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 94572 and 94584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94572 and 94584, than apply into the LCM equation.

GCF(94572,94584) = 12
LCM(94572,94584) = ( 94572 × 94584) / 12
LCM(94572,94584) = 8944998048 / 12
LCM(94572,94584) = 745416504

Least Common Multiple (LCM) of 94572 and 94584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94572 and 94584. First we will calculate the prime factors of 94572 and 94584.

Prime Factorization of 94572

Prime Factorization of 94584

Now multiplying the highest exponent prime factors to calculate the LCM of 94572 and 94584.

LCM(94572,94584) = 2³ × 3² × 37¹ × 71¹ × 7¹ × 563¹
LCM(94572,94584) = 745416504