What is the Least Common Multiple of 37485 and 37500?

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 37485 and 37500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37485 and 37500, than apply into the LCM equation.

GCF(37485,37500) = 15
LCM(37485,37500) = ( 37485 × 37500) / 15
LCM(37485,37500) = 1405687500 / 15
LCM(37485,37500) = 93712500

Least Common Multiple (LCM) of 37485 and 37500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37485 and 37500. First we will calculate the prime factors of 37485 and 37500.

Prime Factorization of 37485

Prime Factorization of 37500

Now multiplying the highest exponent prime factors to calculate the LCM of 37485 and 37500.

LCM(37485,37500) = 3² × 5⁵ × 7² × 17¹ × 2²
LCM(37485,37500) = 93712500