What is the Least Common Multiple of 37500 and 37506?

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 37500 and 37506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37500 and 37506, than apply into the LCM equation.

GCF(37500,37506) = 6
LCM(37500,37506) = ( 37500 × 37506) / 6
LCM(37500,37506) = 1406475000 / 6
LCM(37500,37506) = 234412500

Least Common Multiple (LCM) of 37500 and 37506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37500 and 37506. First we will calculate the prime factors of 37500 and 37506.

Prime Factorization of 37500

Prime Factorization of 37506

Now multiplying the highest exponent prime factors to calculate the LCM of 37500 and 37506.

LCM(37500,37506) = 2² × 3¹ × 5⁵ × 7¹ × 19¹ × 47¹
LCM(37500,37506) = 234412500