What is the Least Common Multiple of 16389 and 16404?

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 16389 and 16404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16389 and 16404, than apply into the LCM equation.

GCF(16389,16404) = 3
LCM(16389,16404) = ( 16389 × 16404) / 3
LCM(16389,16404) = 268845156 / 3
LCM(16389,16404) = 89615052

Least Common Multiple (LCM) of 16389 and 16404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16389 and 16404. First we will calculate the prime factors of 16389 and 16404.

Prime Factorization of 16389

Prime Factorization of 16404

Now multiplying the highest exponent prime factors to calculate the LCM of 16389 and 16404.

LCM(16389,16404) = 3³ × 607¹ × 2² × 1367¹
LCM(16389,16404) = 89615052