What is the Least Common Multiple of 57024 and 57039?

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 57024 and 57039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57024 and 57039, than apply into the LCM equation.

GCF(57024,57039) = 3
LCM(57024,57039) = ( 57024 × 57039) / 3
LCM(57024,57039) = 3252591936 / 3
LCM(57024,57039) = 1084197312

Least Common Multiple (LCM) of 57024 and 57039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57024 and 57039. First we will calculate the prime factors of 57024 and 57039.

Prime Factorization of 57024

Prime Factorization of 57039

Now multiplying the highest exponent prime factors to calculate the LCM of 57024 and 57039.

LCM(57024,57039) = 2⁶ × 3⁴ × 11¹ × 19013¹
LCM(57024,57039) = 1084197312