What is the Least Common Multiple of 87135 and 87144?

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 87144 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 87144, than apply into the LCM equation.

GCF(87135,87144) = 3
LCM(87135,87144) = ( 87135 × 87144) / 3
LCM(87135,87144) = 7593292440 / 3
LCM(87135,87144) = 2531097480

Least Common Multiple (LCM) of 87135 and 87144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87135 and 87144. First we will calculate the prime factors of 87135 and 87144.

Prime Factorization of 87135

Prime Factorization of 87144

Now multiplying the highest exponent prime factors to calculate the LCM of 87135 and 87144.

LCM(87135,87144) = 3¹ × 5¹ × 37¹ × 157¹ × 2³ × 3631¹
LCM(87135,87144) = 2531097480