What is the Least Common Multiple of 69288 and 69297?

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 69288 and 69297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69288 and 69297, than apply into the LCM equation.

GCF(69288,69297) = 3
LCM(69288,69297) = ( 69288 × 69297) / 3
LCM(69288,69297) = 4801450536 / 3
LCM(69288,69297) = 1600483512

Least Common Multiple (LCM) of 69288 and 69297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69288 and 69297. First we will calculate the prime factors of 69288 and 69297.

Prime Factorization of 69288

Prime Factorization of 69297

Now multiplying the highest exponent prime factors to calculate the LCM of 69288 and 69297.

LCM(69288,69297) = 2³ × 3¹ × 2887¹ × 23099¹
LCM(69288,69297) = 1600483512