What is the Least Common Multiple of 12339 and 12344?

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 12339 and 12344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12339 and 12344, than apply into the LCM equation.

GCF(12339,12344) = 1
LCM(12339,12344) = ( 12339 × 12344) / 1
LCM(12339,12344) = 152312616 / 1
LCM(12339,12344) = 152312616

Least Common Multiple (LCM) of 12339 and 12344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12339 and 12344. First we will calculate the prime factors of 12339 and 12344.

Prime Factorization of 12339

Prime Factorization of 12344

Now multiplying the highest exponent prime factors to calculate the LCM of 12339 and 12344.

LCM(12339,12344) = 3³ × 457¹ × 2³ × 1543¹
LCM(12339,12344) = 152312616