What is the Least Common Multiple of 54645 and 54660?

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 54645 and 54660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54645 and 54660, than apply into the LCM equation.

GCF(54645,54660) = 15
LCM(54645,54660) = ( 54645 × 54660) / 15
LCM(54645,54660) = 2986895700 / 15
LCM(54645,54660) = 199126380

Least Common Multiple (LCM) of 54645 and 54660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54645 and 54660. First we will calculate the prime factors of 54645 and 54660.

Prime Factorization of 54645

Prime Factorization of 54660

Now multiplying the highest exponent prime factors to calculate the LCM of 54645 and 54660.

LCM(54645,54660) = 3¹ × 5¹ × 3643¹ × 2² × 911¹
LCM(54645,54660) = 199126380