What is the Least Common Multiple of 37488 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 37488 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 37488 and 37500, than apply into the LCM equation.

GCF(37488,37500) = 12
LCM(37488,37500) = ( 37488 × 37500) / 12
LCM(37488,37500) = 1405800000 / 12
LCM(37488,37500) = 117150000

Least Common Multiple (LCM) of 37488 and 37500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37488 and 37500. First we will calculate the prime factors of 37488 and 37500.

Prime Factorization of 37488

Prime Factorization of 37500

Now multiplying the highest exponent prime factors to calculate the LCM of 37488 and 37500.

LCM(37488,37500) = 2⁴ × 3¹ × 11¹ × 71¹ × 5⁵
LCM(37488,37500) = 117150000