What is the Least Common Multiple of 59544 and 59564?

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 59564 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 59564, than apply into the LCM equation.

GCF(59544,59564) = 4
LCM(59544,59564) = ( 59544 × 59564) / 4
LCM(59544,59564) = 3546678816 / 4
LCM(59544,59564) = 886669704

Least Common Multiple (LCM) of 59544 and 59564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59544 and 59564. First we will calculate the prime factors of 59544 and 59564.

Prime Factorization of 59544

Prime Factorization of 59564

Now multiplying the highest exponent prime factors to calculate the LCM of 59544 and 59564.

LCM(59544,59564) = 2³ × 3² × 827¹ × 14891¹
LCM(59544,59564) = 886669704