What is the Least Common Multiple of 54024 and 54039?

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 54024 and 54039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54024 and 54039, than apply into the LCM equation.

GCF(54024,54039) = 3
LCM(54024,54039) = ( 54024 × 54039) / 3
LCM(54024,54039) = 2919402936 / 3
LCM(54024,54039) = 973134312

Least Common Multiple (LCM) of 54024 and 54039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54024 and 54039. First we will calculate the prime factors of 54024 and 54039.

Prime Factorization of 54024

Prime Factorization of 54039

Now multiplying the highest exponent prime factors to calculate the LCM of 54024 and 54039.

LCM(54024,54039) = 2³ × 3¹ × 2251¹ × 18013¹
LCM(54024,54039) = 973134312