What is the Least Common Multiple of 54420 and 54432?

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 54420 and 54432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54420 and 54432, than apply into the LCM equation.

GCF(54420,54432) = 12
LCM(54420,54432) = ( 54420 × 54432) / 12
LCM(54420,54432) = 2962189440 / 12
LCM(54420,54432) = 246849120

Least Common Multiple (LCM) of 54420 and 54432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54420 and 54432. First we will calculate the prime factors of 54420 and 54432.

Prime Factorization of 54420

Prime Factorization of 54432

Now multiplying the highest exponent prime factors to calculate the LCM of 54420 and 54432.

LCM(54420,54432) = 2⁵ × 3⁵ × 5¹ × 907¹ × 7¹
LCM(54420,54432) = 246849120