What is the Least Common Multiple of 37500 and 37510?

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 37510 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 37510, than apply into the LCM equation.

GCF(37500,37510) = 10
LCM(37500,37510) = ( 37500 × 37510) / 10
LCM(37500,37510) = 1406625000 / 10
LCM(37500,37510) = 140662500

Least Common Multiple (LCM) of 37500 and 37510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37500 and 37510. First we will calculate the prime factors of 37500 and 37510.

Prime Factorization of 37500

Prime Factorization of 37510

Now multiplying the highest exponent prime factors to calculate the LCM of 37500 and 37510.

LCM(37500,37510) = 2² × 3¹ × 5⁵ × 11² × 31¹
LCM(37500,37510) = 140662500