What is the Least Common Multiple of 19344 and 19356?

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 19344 and 19356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19344 and 19356, than apply into the LCM equation.

GCF(19344,19356) = 12
LCM(19344,19356) = ( 19344 × 19356) / 12
LCM(19344,19356) = 374422464 / 12
LCM(19344,19356) = 31201872

Least Common Multiple (LCM) of 19344 and 19356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19344 and 19356. First we will calculate the prime factors of 19344 and 19356.

Prime Factorization of 19344

Prime Factorization of 19356

Now multiplying the highest exponent prime factors to calculate the LCM of 19344 and 19356.

LCM(19344,19356) = 2⁴ × 3¹ × 13¹ × 31¹ × 1613¹
LCM(19344,19356) = 31201872