What is the Least Common Multiple of 87135 and 87150?

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 87135 and 87150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87135 and 87150, than apply into the LCM equation.

GCF(87135,87150) = 15
LCM(87135,87150) = ( 87135 × 87150) / 15
LCM(87135,87150) = 7593815250 / 15
LCM(87135,87150) = 506254350

Least Common Multiple (LCM) of 87135 and 87150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87135 and 87150. First we will calculate the prime factors of 87135 and 87150.

Prime Factorization of 87135

Prime Factorization of 87150

Now multiplying the highest exponent prime factors to calculate the LCM of 87135 and 87150.

LCM(87135,87150) = 3¹ × 5² × 37¹ × 157¹ × 2¹ × 7¹ × 83¹
LCM(87135,87150) = 506254350