What is the Least Common Multiple of 32384 and 32398?

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 32398 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 32398, than apply into the LCM equation.

GCF(32384,32398) = 2
LCM(32384,32398) = ( 32384 × 32398) / 2
LCM(32384,32398) = 1049176832 / 2
LCM(32384,32398) = 524588416

Least Common Multiple (LCM) of 32384 and 32398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32384 and 32398. First we will calculate the prime factors of 32384 and 32398.

Prime Factorization of 32384

Prime Factorization of 32398

Now multiplying the highest exponent prime factors to calculate the LCM of 32384 and 32398.

LCM(32384,32398) = 2⁷ × 11¹ × 23¹ × 97¹ × 167¹
LCM(32384,32398) = 524588416