What is the Least Common Multiple of 69492 and 69504?

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 69492 and 69504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69492 and 69504, than apply into the LCM equation.

GCF(69492,69504) = 12
LCM(69492,69504) = ( 69492 × 69504) / 12
LCM(69492,69504) = 4829971968 / 12
LCM(69492,69504) = 402497664

Least Common Multiple (LCM) of 69492 and 69504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69492 and 69504. First we will calculate the prime factors of 69492 and 69504.

Prime Factorization of 69492

Prime Factorization of 69504

Now multiplying the highest exponent prime factors to calculate the LCM of 69492 and 69504.

LCM(69492,69504) = 2⁷ × 3¹ × 5791¹ × 181¹
LCM(69492,69504) = 402497664