What is the Least Common Multiple of 89508 and 89512?

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 89508 and 89512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89508 and 89512, than apply into the LCM equation.

GCF(89508,89512) = 4
LCM(89508,89512) = ( 89508 × 89512) / 4
LCM(89508,89512) = 8012040096 / 4
LCM(89508,89512) = 2003010024

Least Common Multiple (LCM) of 89508 and 89512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89508 and 89512. First we will calculate the prime factors of 89508 and 89512.

Prime Factorization of 89508

Prime Factorization of 89512

Now multiplying the highest exponent prime factors to calculate the LCM of 89508 and 89512.

LCM(89508,89512) = 2³ × 3¹ × 7459¹ × 67¹ × 167¹
LCM(89508,89512) = 2003010024