What is the Least Common Multiple of 54450 and 54456?

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 54450 and 54456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54450 and 54456, than apply into the LCM equation.

GCF(54450,54456) = 6
LCM(54450,54456) = ( 54450 × 54456) / 6
LCM(54450,54456) = 2965129200 / 6
LCM(54450,54456) = 494188200

Least Common Multiple (LCM) of 54450 and 54456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54450 and 54456. First we will calculate the prime factors of 54450 and 54456.

Prime Factorization of 54450

Prime Factorization of 54456

Now multiplying the highest exponent prime factors to calculate the LCM of 54450 and 54456.

LCM(54450,54456) = 2³ × 3² × 5² × 11² × 2269¹
LCM(54450,54456) = 494188200