What is the Least Common Multiple of 16314 and 16329?

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 16314 and 16329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16314 and 16329, than apply into the LCM equation.

GCF(16314,16329) = 3
LCM(16314,16329) = ( 16314 × 16329) / 3
LCM(16314,16329) = 266391306 / 3
LCM(16314,16329) = 88797102

Least Common Multiple (LCM) of 16314 and 16329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16314 and 16329. First we will calculate the prime factors of 16314 and 16329.

Prime Factorization of 16314

Prime Factorization of 16329

Now multiplying the highest exponent prime factors to calculate the LCM of 16314 and 16329.

LCM(16314,16329) = 2¹ × 3¹ × 2719¹ × 5443¹
LCM(16314,16329) = 88797102