What is the Least Common Multiple of 69096 and 69108?

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 69096 and 69108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69096 and 69108, than apply into the LCM equation.

GCF(69096,69108) = 12
LCM(69096,69108) = ( 69096 × 69108) / 12
LCM(69096,69108) = 4775086368 / 12
LCM(69096,69108) = 397923864

Least Common Multiple (LCM) of 69096 and 69108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69096 and 69108. First we will calculate the prime factors of 69096 and 69108.

Prime Factorization of 69096

Prime Factorization of 69108

Now multiplying the highest exponent prime factors to calculate the LCM of 69096 and 69108.

LCM(69096,69108) = 2³ × 3¹ × 2879¹ × 13¹ × 443¹
LCM(69096,69108) = 397923864