What is the Least Common Multiple of 34848 and 34857?

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 34848 and 34857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34848 and 34857, than apply into the LCM equation.

GCF(34848,34857) = 9
LCM(34848,34857) = ( 34848 × 34857) / 9
LCM(34848,34857) = 1214696736 / 9
LCM(34848,34857) = 134966304

Least Common Multiple (LCM) of 34848 and 34857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34848 and 34857. First we will calculate the prime factors of 34848 and 34857.

Prime Factorization of 34848

Prime Factorization of 34857

Now multiplying the highest exponent prime factors to calculate the LCM of 34848 and 34857.

LCM(34848,34857) = 2⁵ × 3³ × 11² × 1291¹
LCM(34848,34857) = 134966304