What is the Least Common Multiple of 22314 and 22323?

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 22314 and 22323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22314 and 22323, than apply into the LCM equation.

GCF(22314,22323) = 3
LCM(22314,22323) = ( 22314 × 22323) / 3
LCM(22314,22323) = 498115422 / 3
LCM(22314,22323) = 166038474

Least Common Multiple (LCM) of 22314 and 22323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22314 and 22323. First we will calculate the prime factors of 22314 and 22323.

Prime Factorization of 22314

Prime Factorization of 22323

Now multiplying the highest exponent prime factors to calculate the LCM of 22314 and 22323.

LCM(22314,22323) = 2¹ × 3¹ × 3719¹ × 7¹ × 1063¹
LCM(22314,22323) = 166038474