What is the Least Common Multiple of 49389 and 49401?

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 49389 and 49401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49389 and 49401, than apply into the LCM equation.

GCF(49389,49401) = 3
LCM(49389,49401) = ( 49389 × 49401) / 3
LCM(49389,49401) = 2439865989 / 3
LCM(49389,49401) = 813288663

Least Common Multiple (LCM) of 49389 and 49401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49389 and 49401. First we will calculate the prime factors of 49389 and 49401.

Prime Factorization of 49389

Prime Factorization of 49401

Now multiplying the highest exponent prime factors to calculate the LCM of 49389 and 49401.

LCM(49389,49401) = 3² × 101¹ × 163¹ × 11¹ × 499¹
LCM(49389,49401) = 813288663