What is the Least Common Multiple of 22346 and 22359?

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 22346 and 22359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22346 and 22359, than apply into the LCM equation.

GCF(22346,22359) = 1
LCM(22346,22359) = ( 22346 × 22359) / 1
LCM(22346,22359) = 499634214 / 1
LCM(22346,22359) = 499634214

Least Common Multiple (LCM) of 22346 and 22359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22346 and 22359. First we will calculate the prime factors of 22346 and 22359.

Prime Factorization of 22346

Prime Factorization of 22359

Now multiplying the highest exponent prime factors to calculate the LCM of 22346 and 22359.

LCM(22346,22359) = 2¹ × 11173¹ × 3¹ × 29¹ × 257¹
LCM(22346,22359) = 499634214