What is the Least Common Multiple of 40338 and 40344?

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 40338 and 40344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40338 and 40344, than apply into the LCM equation.

GCF(40338,40344) = 6
LCM(40338,40344) = ( 40338 × 40344) / 6
LCM(40338,40344) = 1627396272 / 6
LCM(40338,40344) = 271232712

Least Common Multiple (LCM) of 40338 and 40344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40338 and 40344. First we will calculate the prime factors of 40338 and 40344.

Prime Factorization of 40338

Prime Factorization of 40344

Now multiplying the highest exponent prime factors to calculate the LCM of 40338 and 40344.

LCM(40338,40344) = 2³ × 3⁵ × 83¹ × 41²
LCM(40338,40344) = 271232712