What is the Least Common Multiple of 22284 and 22289?

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 22284 and 22289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22284 and 22289, than apply into the LCM equation.

GCF(22284,22289) = 1
LCM(22284,22289) = ( 22284 × 22289) / 1
LCM(22284,22289) = 496688076 / 1
LCM(22284,22289) = 496688076

Least Common Multiple (LCM) of 22284 and 22289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22284 and 22289. First we will calculate the prime factors of 22284 and 22289.

Prime Factorization of 22284

Prime Factorization of 22289

Now multiplying the highest exponent prime factors to calculate the LCM of 22284 and 22289.

LCM(22284,22289) = 2² × 3² × 619¹ × 31¹ × 719¹
LCM(22284,22289) = 496688076