What is the Least Common Multiple of 57944 and 57952?

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 57944 and 57952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57944 and 57952, than apply into the LCM equation.

GCF(57944,57952) = 8
LCM(57944,57952) = ( 57944 × 57952) / 8
LCM(57944,57952) = 3357970688 / 8
LCM(57944,57952) = 419746336

Least Common Multiple (LCM) of 57944 and 57952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57944 and 57952. First we will calculate the prime factors of 57944 and 57952.

Prime Factorization of 57944

Prime Factorization of 57952

Now multiplying the highest exponent prime factors to calculate the LCM of 57944 and 57952.

LCM(57944,57952) = 2⁵ × 7243¹ × 1811¹
LCM(57944,57952) = 419746336