What is the Least Common Multiple of 87615 and 87627?

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 87615 and 87627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87615 and 87627, than apply into the LCM equation.

GCF(87615,87627) = 3
LCM(87615,87627) = ( 87615 × 87627) / 3
LCM(87615,87627) = 7677439605 / 3
LCM(87615,87627) = 2559146535

Least Common Multiple (LCM) of 87615 and 87627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87615 and 87627. First we will calculate the prime factors of 87615 and 87627.

Prime Factorization of 87615

Prime Factorization of 87627

Now multiplying the highest exponent prime factors to calculate the LCM of 87615 and 87627.

LCM(87615,87627) = 3³ × 5¹ × 11¹ × 59¹ × 29209¹
LCM(87615,87627) = 2559146535