What is the Least Common Multiple of 57564 and 57576?

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 57564 and 57576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57564 and 57576, than apply into the LCM equation.

GCF(57564,57576) = 12
LCM(57564,57576) = ( 57564 × 57576) / 12
LCM(57564,57576) = 3314304864 / 12
LCM(57564,57576) = 276192072

Least Common Multiple (LCM) of 57564 and 57576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57564 and 57576. First we will calculate the prime factors of 57564 and 57576.

Prime Factorization of 57564

Prime Factorization of 57576

Now multiplying the highest exponent prime factors to calculate the LCM of 57564 and 57576.

LCM(57564,57576) = 2³ × 3³ × 13¹ × 41¹ × 2399¹
LCM(57564,57576) = 276192072