What is the Least Common Multiple of 88971 and 88986?

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 88971 and 88986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88971 and 88986, than apply into the LCM equation.

GCF(88971,88986) = 3
LCM(88971,88986) = ( 88971 × 88986) / 3
LCM(88971,88986) = 7917173406 / 3
LCM(88971,88986) = 2639057802

Least Common Multiple (LCM) of 88971 and 88986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88971 and 88986. First we will calculate the prime factors of 88971 and 88986.

Prime Factorization of 88971

Prime Factorization of 88986

Now multiplying the highest exponent prime factors to calculate the LCM of 88971 and 88986.

LCM(88971,88986) = 3¹ × 47¹ × 631¹ × 2¹ × 14831¹
LCM(88971,88986) = 2639057802