What is the Least Common Multiple of 54675 and 54687?

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 54675 and 54687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54675 and 54687, than apply into the LCM equation.

GCF(54675,54687) = 3
LCM(54675,54687) = ( 54675 × 54687) / 3
LCM(54675,54687) = 2990011725 / 3
LCM(54675,54687) = 996670575

Least Common Multiple (LCM) of 54675 and 54687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54675 and 54687. First we will calculate the prime factors of 54675 and 54687.

Prime Factorization of 54675

Prime Factorization of 54687

Now multiplying the highest exponent prime factors to calculate the LCM of 54675 and 54687.

LCM(54675,54687) = 3⁷ × 5² × 18229¹
LCM(54675,54687) = 996670575