What is the Least Common Multiple of 54024 and 54036?

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 54036 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 54036, than apply into the LCM equation.

GCF(54024,54036) = 12
LCM(54024,54036) = ( 54024 × 54036) / 12
LCM(54024,54036) = 2919240864 / 12
LCM(54024,54036) = 243270072

Least Common Multiple (LCM) of 54024 and 54036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54024 and 54036. First we will calculate the prime factors of 54024 and 54036.

Prime Factorization of 54024

Prime Factorization of 54036

Now multiplying the highest exponent prime factors to calculate the LCM of 54024 and 54036.

LCM(54024,54036) = 2³ × 3² × 2251¹ × 19¹ × 79¹
LCM(54024,54036) = 243270072