What is the Least Common Multiple of 88576 and 88589?

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 88576 and 88589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88576 and 88589, than apply into the LCM equation.

GCF(88576,88589) = 1
LCM(88576,88589) = ( 88576 × 88589) / 1
LCM(88576,88589) = 7846859264 / 1
LCM(88576,88589) = 7846859264

Least Common Multiple (LCM) of 88576 and 88589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88576 and 88589. First we will calculate the prime factors of 88576 and 88589.

Prime Factorization of 88576

Prime Factorization of 88589

Now multiplying the highest exponent prime factors to calculate the LCM of 88576 and 88589.

LCM(88576,88589) = 2⁹ × 173¹ × 88589¹
LCM(88576,88589) = 7846859264