What is the Least Common Multiple of 37500 and 37505?

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 37505 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 37505, than apply into the LCM equation.

GCF(37500,37505) = 5
LCM(37500,37505) = ( 37500 × 37505) / 5
LCM(37500,37505) = 1406437500 / 5
LCM(37500,37505) = 281287500

Least Common Multiple (LCM) of 37500 and 37505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37500 and 37505. First we will calculate the prime factors of 37500 and 37505.

Prime Factorization of 37500

Prime Factorization of 37505

Now multiplying the highest exponent prime factors to calculate the LCM of 37500 and 37505.

LCM(37500,37505) = 2² × 3¹ × 5⁵ × 13¹ × 577¹
LCM(37500,37505) = 281287500