What is the Least Common Multiple of 87606 and 87618?

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 87606 and 87618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87606 and 87618, than apply into the LCM equation.

GCF(87606,87618) = 6
LCM(87606,87618) = ( 87606 × 87618) / 6
LCM(87606,87618) = 7675862508 / 6
LCM(87606,87618) = 1279310418

Least Common Multiple (LCM) of 87606 and 87618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87606 and 87618. First we will calculate the prime factors of 87606 and 87618.

Prime Factorization of 87606

Prime Factorization of 87618

Now multiplying the highest exponent prime factors to calculate the LCM of 87606 and 87618.

LCM(87606,87618) = 2¹ × 3² × 31¹ × 157¹ × 17¹ × 859¹
LCM(87606,87618) = 1279310418