What is the Least Common Multiple of 57024 and 57042?

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 57042 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 57042, than apply into the LCM equation.

GCF(57024,57042) = 18
LCM(57024,57042) = ( 57024 × 57042) / 18
LCM(57024,57042) = 3252763008 / 18
LCM(57024,57042) = 180709056

Least Common Multiple (LCM) of 57024 and 57042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57024 and 57042. First we will calculate the prime factors of 57024 and 57042.

Prime Factorization of 57024

Prime Factorization of 57042

Now multiplying the highest exponent prime factors to calculate the LCM of 57024 and 57042.

LCM(57024,57042) = 2⁶ × 3⁴ × 11¹ × 3169¹
LCM(57024,57042) = 180709056