What is the Least Common Multiple of 57024 and 57036?

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 57036 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 57036, than apply into the LCM equation.

GCF(57024,57036) = 12
LCM(57024,57036) = ( 57024 × 57036) / 12
LCM(57024,57036) = 3252420864 / 12
LCM(57024,57036) = 271035072

Least Common Multiple (LCM) of 57024 and 57036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57024 and 57036. First we will calculate the prime factors of 57024 and 57036.

Prime Factorization of 57024

Prime Factorization of 57036

Now multiplying the highest exponent prime factors to calculate the LCM of 57024 and 57036.

LCM(57024,57036) = 2⁶ × 3⁴ × 11¹ × 7² × 97¹
LCM(57024,57036) = 271035072