What is the Least Common Multiple of 22289 and 22304?

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 22289 and 22304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22289 and 22304, than apply into the LCM equation.

GCF(22289,22304) = 1
LCM(22289,22304) = ( 22289 × 22304) / 1
LCM(22289,22304) = 497133856 / 1
LCM(22289,22304) = 497133856

Least Common Multiple (LCM) of 22289 and 22304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22289 and 22304. First we will calculate the prime factors of 22289 and 22304.

Prime Factorization of 22289

Prime Factorization of 22304

Now multiplying the highest exponent prime factors to calculate the LCM of 22289 and 22304.

LCM(22289,22304) = 31¹ × 719¹ × 2⁵ × 17¹ × 41¹
LCM(22289,22304) = 497133856