What is the Least Common Multiple of 54500 and 54504?

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 54500 and 54504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54500 and 54504, than apply into the LCM equation.

GCF(54500,54504) = 4
LCM(54500,54504) = ( 54500 × 54504) / 4
LCM(54500,54504) = 2970468000 / 4
LCM(54500,54504) = 742617000

Least Common Multiple (LCM) of 54500 and 54504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54500 and 54504. First we will calculate the prime factors of 54500 and 54504.

Prime Factorization of 54500

Prime Factorization of 54504

Now multiplying the highest exponent prime factors to calculate the LCM of 54500 and 54504.

LCM(54500,54504) = 2³ × 5³ × 109¹ × 3² × 757¹
LCM(54500,54504) = 742617000