What is the Least Common Multiple of 12339 and 12347?

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 12347 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 12347, than apply into the LCM equation.

GCF(12339,12347) = 1
LCM(12339,12347) = ( 12339 × 12347) / 1
LCM(12339,12347) = 152349633 / 1
LCM(12339,12347) = 152349633

Least Common Multiple (LCM) of 12339 and 12347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12339 and 12347. First we will calculate the prime factors of 12339 and 12347.

Prime Factorization of 12339

Prime Factorization of 12347

Now multiplying the highest exponent prime factors to calculate the LCM of 12339 and 12347.

LCM(12339,12347) = 3³ × 457¹ × 12347¹
LCM(12339,12347) = 152349633