What is the Least Common Multiple of 89592 and 89601?

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 89592 and 89601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89592 and 89601, than apply into the LCM equation.

GCF(89592,89601) = 3
LCM(89592,89601) = ( 89592 × 89601) / 3
LCM(89592,89601) = 8027532792 / 3
LCM(89592,89601) = 2675844264

Least Common Multiple (LCM) of 89592 and 89601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89592 and 89601. First we will calculate the prime factors of 89592 and 89601.

Prime Factorization of 89592

Prime Factorization of 89601

Now multiplying the highest exponent prime factors to calculate the LCM of 89592 and 89601.

LCM(89592,89601) = 2³ × 3¹ × 3733¹ × 29867¹
LCM(89592,89601) = 2675844264