What is the Least Common Multiple of 19287 and 19296?

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 19287 and 19296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19287 and 19296, than apply into the LCM equation.

GCF(19287,19296) = 9
LCM(19287,19296) = ( 19287 × 19296) / 9
LCM(19287,19296) = 372161952 / 9
LCM(19287,19296) = 41351328

Least Common Multiple (LCM) of 19287 and 19296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19287 and 19296. First we will calculate the prime factors of 19287 and 19296.

Prime Factorization of 19287

Prime Factorization of 19296

Now multiplying the highest exponent prime factors to calculate the LCM of 19287 and 19296.

LCM(19287,19296) = 3² × 2143¹ × 2⁵ × 67¹
LCM(19287,19296) = 41351328