What is the Least Common Multiple of 59544 and 59552?

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 59544 and 59552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59544 and 59552, than apply into the LCM equation.

GCF(59544,59552) = 8
LCM(59544,59552) = ( 59544 × 59552) / 8
LCM(59544,59552) = 3545964288 / 8
LCM(59544,59552) = 443245536

Least Common Multiple (LCM) of 59544 and 59552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59544 and 59552. First we will calculate the prime factors of 59544 and 59552.

Prime Factorization of 59544

Prime Factorization of 59552

Now multiplying the highest exponent prime factors to calculate the LCM of 59544 and 59552.

LCM(59544,59552) = 2⁵ × 3² × 827¹ × 1861¹
LCM(59544,59552) = 443245536