What is the Least Common Multiple of 86874 and 86889?

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 86874 and 86889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86874 and 86889, than apply into the LCM equation.

GCF(86874,86889) = 3
LCM(86874,86889) = ( 86874 × 86889) / 3
LCM(86874,86889) = 7548394986 / 3
LCM(86874,86889) = 2516131662

Least Common Multiple (LCM) of 86874 and 86889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86874 and 86889. First we will calculate the prime factors of 86874 and 86889.

Prime Factorization of 86874

Prime Factorization of 86889

Now multiplying the highest exponent prime factors to calculate the LCM of 86874 and 86889.

LCM(86874,86889) = 2¹ × 3¹ × 14479¹ × 11¹ × 2633¹
LCM(86874,86889) = 2516131662