What is the Least Common Multiple of 19384 and 19403?

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 19384 and 19403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19384 and 19403, than apply into the LCM equation.

GCF(19384,19403) = 1
LCM(19384,19403) = ( 19384 × 19403) / 1
LCM(19384,19403) = 376107752 / 1
LCM(19384,19403) = 376107752

Least Common Multiple (LCM) of 19384 and 19403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19384 and 19403. First we will calculate the prime factors of 19384 and 19403.

Prime Factorization of 19384

Prime Factorization of 19403

Now multiplying the highest exponent prime factors to calculate the LCM of 19384 and 19403.

LCM(19384,19403) = 2³ × 2423¹ × 19403¹
LCM(19384,19403) = 376107752