What is the Least Common Multiple of 58932 and 58944?

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 58932 and 58944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58932 and 58944, than apply into the LCM equation.

GCF(58932,58944) = 12
LCM(58932,58944) = ( 58932 × 58944) / 12
LCM(58932,58944) = 3473687808 / 12
LCM(58932,58944) = 289473984

Least Common Multiple (LCM) of 58932 and 58944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58932 and 58944. First we will calculate the prime factors of 58932 and 58944.

Prime Factorization of 58932

Prime Factorization of 58944

Now multiplying the highest exponent prime factors to calculate the LCM of 58932 and 58944.

LCM(58932,58944) = 2⁶ × 3² × 1637¹ × 307¹
LCM(58932,58944) = 289473984