What is the Least Common Multiple of 22384 and 22399?

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 22384 and 22399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22384 and 22399, than apply into the LCM equation.

GCF(22384,22399) = 1
LCM(22384,22399) = ( 22384 × 22399) / 1
LCM(22384,22399) = 501379216 / 1
LCM(22384,22399) = 501379216

Least Common Multiple (LCM) of 22384 and 22399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22384 and 22399. First we will calculate the prime factors of 22384 and 22399.

Prime Factorization of 22384

Prime Factorization of 22399

Now multiplying the highest exponent prime factors to calculate the LCM of 22384 and 22399.

LCM(22384,22399) = 2⁴ × 1399¹ × 13¹ × 1723¹
LCM(22384,22399) = 501379216