What is the Least Common Multiple of 69858 and 69876?

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 69858 and 69876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69858 and 69876, than apply into the LCM equation.

GCF(69858,69876) = 18
LCM(69858,69876) = ( 69858 × 69876) / 18
LCM(69858,69876) = 4881397608 / 18
LCM(69858,69876) = 271188756

Least Common Multiple (LCM) of 69858 and 69876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69858 and 69876. First we will calculate the prime factors of 69858 and 69876.

Prime Factorization of 69858

Prime Factorization of 69876

Now multiplying the highest exponent prime factors to calculate the LCM of 69858 and 69876.

LCM(69858,69876) = 2² × 3³ × 3881¹ × 647¹
LCM(69858,69876) = 271188756