What is the Least Common Multiple of 14313 and 14329?

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 14313 and 14329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14313 and 14329, than apply into the LCM equation.

GCF(14313,14329) = 1
LCM(14313,14329) = ( 14313 × 14329) / 1
LCM(14313,14329) = 205090977 / 1
LCM(14313,14329) = 205090977

Least Common Multiple (LCM) of 14313 and 14329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14313 and 14329. First we will calculate the prime factors of 14313 and 14329.

Prime Factorization of 14313

Prime Factorization of 14329

Now multiplying the highest exponent prime factors to calculate the LCM of 14313 and 14329.

LCM(14313,14329) = 3¹ × 13¹ × 367¹ × 7¹ × 23¹ × 89¹
LCM(14313,14329) = 205090977