What is the Least Common Multiple of 54432 and 54450?

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 54450 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 54450, than apply into the LCM equation.

GCF(54432,54450) = 18
LCM(54432,54450) = ( 54432 × 54450) / 18
LCM(54432,54450) = 2963822400 / 18
LCM(54432,54450) = 164656800

Least Common Multiple (LCM) of 54432 and 54450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54432 and 54450. First we will calculate the prime factors of 54432 and 54450.

Prime Factorization of 54432

Prime Factorization of 54450

Now multiplying the highest exponent prime factors to calculate the LCM of 54432 and 54450.

LCM(54432,54450) = 2⁵ × 3⁵ × 7¹ × 5² × 11²
LCM(54432,54450) = 164656800