What is the Least Common Multiple of 89664 and 89675?

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 89664 and 89675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89664 and 89675, than apply into the LCM equation.

GCF(89664,89675) = 1
LCM(89664,89675) = ( 89664 × 89675) / 1
LCM(89664,89675) = 8040619200 / 1
LCM(89664,89675) = 8040619200

Least Common Multiple (LCM) of 89664 and 89675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89664 and 89675. First we will calculate the prime factors of 89664 and 89675.

Prime Factorization of 89664

Prime Factorization of 89675

Now multiplying the highest exponent prime factors to calculate the LCM of 89664 and 89675.

LCM(89664,89675) = 2⁶ × 3¹ × 467¹ × 5² × 17¹ × 211¹
LCM(89664,89675) = 8040619200