What is the Least Common Multiple of 18321 and 18329?

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 18321 and 18329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18321 and 18329, than apply into the LCM equation.

GCF(18321,18329) = 1
LCM(18321,18329) = ( 18321 × 18329) / 1
LCM(18321,18329) = 335805609 / 1
LCM(18321,18329) = 335805609

Least Common Multiple (LCM) of 18321 and 18329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18321 and 18329. First we will calculate the prime factors of 18321 and 18329.

Prime Factorization of 18321

Prime Factorization of 18329

Now multiplying the highest exponent prime factors to calculate the LCM of 18321 and 18329.

LCM(18321,18329) = 3¹ × 31¹ × 197¹ × 18329¹
LCM(18321,18329) = 335805609