What is the Least Common Multiple of 22314 and 22329?

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 22329 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 22329, than apply into the LCM equation.

GCF(22314,22329) = 3
LCM(22314,22329) = ( 22314 × 22329) / 3
LCM(22314,22329) = 498249306 / 3
LCM(22314,22329) = 166083102

Least Common Multiple (LCM) of 22314 and 22329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22314 and 22329. First we will calculate the prime factors of 22314 and 22329.

Prime Factorization of 22314

Prime Factorization of 22329

Now multiplying the highest exponent prime factors to calculate the LCM of 22314 and 22329.

LCM(22314,22329) = 2¹ × 3³ × 3719¹ × 827¹
LCM(22314,22329) = 166083102