What is the Least Common Multiple of 89664 and 89676?

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 89676 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 89676, than apply into the LCM equation.

GCF(89664,89676) = 12
LCM(89664,89676) = ( 89664 × 89676) / 12
LCM(89664,89676) = 8040708864 / 12
LCM(89664,89676) = 670059072

Least Common Multiple (LCM) of 89664 and 89676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89664 and 89676. First we will calculate the prime factors of 89664 and 89676.

Prime Factorization of 89664

Prime Factorization of 89676

Now multiplying the highest exponent prime factors to calculate the LCM of 89664 and 89676.

LCM(89664,89676) = 2⁶ × 3² × 467¹ × 47¹ × 53¹
LCM(89664,89676) = 670059072