What is the Least Common Multiple of 69852 and 69858?

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 69852 and 69858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69852 and 69858, than apply into the LCM equation.

GCF(69852,69858) = 6
LCM(69852,69858) = ( 69852 × 69858) / 6
LCM(69852,69858) = 4879721016 / 6
LCM(69852,69858) = 813286836

Least Common Multiple (LCM) of 69852 and 69858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69852 and 69858. First we will calculate the prime factors of 69852 and 69858.

Prime Factorization of 69852

Prime Factorization of 69858

Now multiplying the highest exponent prime factors to calculate the LCM of 69852 and 69858.

LCM(69852,69858) = 2² × 3² × 5821¹ × 3881¹
LCM(69852,69858) = 813286836