What is the Least Common Multiple of 18384 and 18395?

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 18384 and 18395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18384 and 18395, than apply into the LCM equation.

GCF(18384,18395) = 1
LCM(18384,18395) = ( 18384 × 18395) / 1
LCM(18384,18395) = 338173680 / 1
LCM(18384,18395) = 338173680

Least Common Multiple (LCM) of 18384 and 18395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18384 and 18395. First we will calculate the prime factors of 18384 and 18395.

Prime Factorization of 18384

Prime Factorization of 18395

Now multiplying the highest exponent prime factors to calculate the LCM of 18384 and 18395.

LCM(18384,18395) = 2⁴ × 3¹ × 383¹ × 5¹ × 13¹ × 283¹
LCM(18384,18395) = 338173680