What is the Least Common Multiple of 58944 and 58959?

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 58944 and 58959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58944 and 58959, than apply into the LCM equation.

GCF(58944,58959) = 3
LCM(58944,58959) = ( 58944 × 58959) / 3
LCM(58944,58959) = 3475279296 / 3
LCM(58944,58959) = 1158426432

Least Common Multiple (LCM) of 58944 and 58959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58944 and 58959. First we will calculate the prime factors of 58944 and 58959.

Prime Factorization of 58944

Prime Factorization of 58959

Now multiplying the highest exponent prime factors to calculate the LCM of 58944 and 58959.

LCM(58944,58959) = 2⁶ × 3² × 307¹ × 6551¹
LCM(58944,58959) = 1158426432