What is the Least Common Multiple of 15075 and 15087?

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 15075 and 15087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15075 and 15087, than apply into the LCM equation.

GCF(15075,15087) = 3
LCM(15075,15087) = ( 15075 × 15087) / 3
LCM(15075,15087) = 227436525 / 3
LCM(15075,15087) = 75812175

Least Common Multiple (LCM) of 15075 and 15087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15075 and 15087. First we will calculate the prime factors of 15075 and 15087.

Prime Factorization of 15075

Prime Factorization of 15087

Now multiplying the highest exponent prime factors to calculate the LCM of 15075 and 15087.

LCM(15075,15087) = 3² × 5² × 67¹ × 47¹ × 107¹
LCM(15075,15087) = 75812175