What is the Least Common Multiple of 14709 and 14725?

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 14709 and 14725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14709 and 14725, than apply into the LCM equation.

GCF(14709,14725) = 1
LCM(14709,14725) = ( 14709 × 14725) / 1
LCM(14709,14725) = 216590025 / 1
LCM(14709,14725) = 216590025

Least Common Multiple (LCM) of 14709 and 14725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14709 and 14725. First we will calculate the prime factors of 14709 and 14725.

Prime Factorization of 14709

Prime Factorization of 14725

Now multiplying the highest exponent prime factors to calculate the LCM of 14709 and 14725.

LCM(14709,14725) = 3¹ × 4903¹ × 5² × 19¹ × 31¹
LCM(14709,14725) = 216590025