What is the Least Common Multiple of 19356 and 19368?

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 19356 and 19368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19356 and 19368, than apply into the LCM equation.

GCF(19356,19368) = 12
LCM(19356,19368) = ( 19356 × 19368) / 12
LCM(19356,19368) = 374887008 / 12
LCM(19356,19368) = 31240584

Least Common Multiple (LCM) of 19356 and 19368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19356 and 19368. First we will calculate the prime factors of 19356 and 19368.

Prime Factorization of 19356

Prime Factorization of 19368

Now multiplying the highest exponent prime factors to calculate the LCM of 19356 and 19368.

LCM(19356,19368) = 2³ × 3² × 1613¹ × 269¹
LCM(19356,19368) = 31240584