What is the Least Common Multiple of 19338 and 19344?

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 19338 and 19344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19338 and 19344, than apply into the LCM equation.

GCF(19338,19344) = 6
LCM(19338,19344) = ( 19338 × 19344) / 6
LCM(19338,19344) = 374074272 / 6
LCM(19338,19344) = 62345712

Least Common Multiple (LCM) of 19338 and 19344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19338 and 19344. First we will calculate the prime factors of 19338 and 19344.

Prime Factorization of 19338

Prime Factorization of 19344

Now multiplying the highest exponent prime factors to calculate the LCM of 19338 and 19344.

LCM(19338,19344) = 2⁴ × 3¹ × 11¹ × 293¹ × 13¹ × 31¹
LCM(19338,19344) = 62345712