What is the Least Common Multiple of 22431 and 22449?

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 22431 and 22449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22431 and 22449, than apply into the LCM equation.

GCF(22431,22449) = 3
LCM(22431,22449) = ( 22431 × 22449) / 3
LCM(22431,22449) = 503553519 / 3
LCM(22431,22449) = 167851173

Least Common Multiple (LCM) of 22431 and 22449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22431 and 22449. First we will calculate the prime factors of 22431 and 22449.

Prime Factorization of 22431

Prime Factorization of 22449

Now multiplying the highest exponent prime factors to calculate the LCM of 22431 and 22449.

LCM(22431,22449) = 3¹ × 7477¹ × 7¹ × 1069¹
LCM(22431,22449) = 167851173