What is the Least Common Multiple of 32364 and 32384?

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 32364 and 32384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32364 and 32384, than apply into the LCM equation.

GCF(32364,32384) = 4
LCM(32364,32384) = ( 32364 × 32384) / 4
LCM(32364,32384) = 1048075776 / 4
LCM(32364,32384) = 262018944

Least Common Multiple (LCM) of 32364 and 32384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32364 and 32384. First we will calculate the prime factors of 32364 and 32384.

Prime Factorization of 32364

Prime Factorization of 32384

Now multiplying the highest exponent prime factors to calculate the LCM of 32364 and 32384.

LCM(32364,32384) = 2⁷ × 3² × 29¹ × 31¹ × 11¹ × 23¹
LCM(32364,32384) = 262018944