What is the Least Common Multiple of 32384 and 32395?

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 32384 and 32395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32384 and 32395, than apply into the LCM equation.

GCF(32384,32395) = 11
LCM(32384,32395) = ( 32384 × 32395) / 11
LCM(32384,32395) = 1049079680 / 11
LCM(32384,32395) = 95370880

Least Common Multiple (LCM) of 32384 and 32395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32384 and 32395. First we will calculate the prime factors of 32384 and 32395.

Prime Factorization of 32384

Prime Factorization of 32395

Now multiplying the highest exponent prime factors to calculate the LCM of 32384 and 32395.

LCM(32384,32395) = 2⁷ × 11¹ × 23¹ × 5¹ × 19¹ × 31¹
LCM(32384,32395) = 95370880