What is the Least Common Multiple of 19317 and 19329?

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 19317 and 19329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19317 and 19329, than apply into the LCM equation.

GCF(19317,19329) = 3
LCM(19317,19329) = ( 19317 × 19329) / 3
LCM(19317,19329) = 373378293 / 3
LCM(19317,19329) = 124459431

Least Common Multiple (LCM) of 19317 and 19329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19317 and 19329. First we will calculate the prime factors of 19317 and 19329.

Prime Factorization of 19317

Prime Factorization of 19329

Now multiplying the highest exponent prime factors to calculate the LCM of 19317 and 19329.

LCM(19317,19329) = 3¹ × 47¹ × 137¹ × 17¹ × 379¹
LCM(19317,19329) = 124459431