What is the Least Common Multiple of 87144 and 87159?

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 87144 and 87159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87144 and 87159, than apply into the LCM equation.

GCF(87144,87159) = 3
LCM(87144,87159) = ( 87144 × 87159) / 3
LCM(87144,87159) = 7595383896 / 3
LCM(87144,87159) = 2531794632

Least Common Multiple (LCM) of 87144 and 87159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87144 and 87159. First we will calculate the prime factors of 87144 and 87159.

Prime Factorization of 87144

Prime Factorization of 87159

Now multiplying the highest exponent prime factors to calculate the LCM of 87144 and 87159.

LCM(87144,87159) = 2³ × 3¹ × 3631¹ × 17¹ × 1709¹
LCM(87144,87159) = 2531794632