What is the Least Common Multiple of 22357 and 22367?

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 22357 and 22367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22357 and 22367, than apply into the LCM equation.

GCF(22357,22367) = 1
LCM(22357,22367) = ( 22357 × 22367) / 1
LCM(22357,22367) = 500059019 / 1
LCM(22357,22367) = 500059019

Least Common Multiple (LCM) of 22357 and 22367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22357 and 22367. First we will calculate the prime factors of 22357 and 22367.

Prime Factorization of 22357

Prime Factorization of 22367

Now multiplying the highest exponent prime factors to calculate the LCM of 22357 and 22367.

LCM(22357,22367) = 79¹ × 283¹ × 22367¹
LCM(22357,22367) = 500059019