What is the Least Common Multiple of 16389 and 16400?

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 16400 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 16400, than apply into the LCM equation.

GCF(16389,16400) = 1
LCM(16389,16400) = ( 16389 × 16400) / 1
LCM(16389,16400) = 268779600 / 1
LCM(16389,16400) = 268779600

Least Common Multiple (LCM) of 16389 and 16400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16389 and 16400. First we will calculate the prime factors of 16389 and 16400.

Prime Factorization of 16389

Prime Factorization of 16400

Now multiplying the highest exponent prime factors to calculate the LCM of 16389 and 16400.

LCM(16389,16400) = 3³ × 607¹ × 2⁴ × 5² × 41¹
LCM(16389,16400) = 268779600