What is the Least Common Multiple of 42339 and 42344?

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 42339 and 42344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42339 and 42344, than apply into the LCM equation.

GCF(42339,42344) = 1
LCM(42339,42344) = ( 42339 × 42344) / 1
LCM(42339,42344) = 1792802616 / 1
LCM(42339,42344) = 1792802616

Least Common Multiple (LCM) of 42339 and 42344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42339 and 42344. First we will calculate the prime factors of 42339 and 42344.

Prime Factorization of 42339

Prime Factorization of 42344

Now multiplying the highest exponent prime factors to calculate the LCM of 42339 and 42344.

LCM(42339,42344) = 3¹ × 11¹ × 1283¹ × 2³ × 67¹ × 79¹
LCM(42339,42344) = 1792802616