What is the Least Common Multiple of 22304 and 22315?

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 22304 and 22315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22304 and 22315, than apply into the LCM equation.

GCF(22304,22315) = 1
LCM(22304,22315) = ( 22304 × 22315) / 1
LCM(22304,22315) = 497713760 / 1
LCM(22304,22315) = 497713760

Least Common Multiple (LCM) of 22304 and 22315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22304 and 22315. First we will calculate the prime factors of 22304 and 22315.

Prime Factorization of 22304

Prime Factorization of 22315

Now multiplying the highest exponent prime factors to calculate the LCM of 22304 and 22315.

LCM(22304,22315) = 2⁵ × 17¹ × 41¹ × 5¹ × 4463¹
LCM(22304,22315) = 497713760