What is the Least Common Multiple of 14375 and 14389?

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 14375 and 14389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14375 and 14389, than apply into the LCM equation.

GCF(14375,14389) = 1
LCM(14375,14389) = ( 14375 × 14389) / 1
LCM(14375,14389) = 206841875 / 1
LCM(14375,14389) = 206841875

Least Common Multiple (LCM) of 14375 and 14389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14375 and 14389. First we will calculate the prime factors of 14375 and 14389.

Prime Factorization of 14375

Prime Factorization of 14389

Now multiplying the highest exponent prime factors to calculate the LCM of 14375 and 14389.

LCM(14375,14389) = 5⁴ × 23¹ × 14389¹
LCM(14375,14389) = 206841875