What is the Least Common Multiple of 54432 and 54444?

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 54432 and 54444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54432 and 54444, than apply into the LCM equation.

GCF(54432,54444) = 12
LCM(54432,54444) = ( 54432 × 54444) / 12
LCM(54432,54444) = 2963495808 / 12
LCM(54432,54444) = 246957984

Least Common Multiple (LCM) of 54432 and 54444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54432 and 54444. First we will calculate the prime factors of 54432 and 54444.

Prime Factorization of 54432

Prime Factorization of 54444

Now multiplying the highest exponent prime factors to calculate the LCM of 54432 and 54444.

LCM(54432,54444) = 2⁵ × 3⁵ × 7¹ × 13¹ × 349¹
LCM(54432,54444) = 246957984