What is the Least Common Multiple of 16404 and 16416?

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 16404 and 16416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16404 and 16416, than apply into the LCM equation.

GCF(16404,16416) = 12
LCM(16404,16416) = ( 16404 × 16416) / 12
LCM(16404,16416) = 269288064 / 12
LCM(16404,16416) = 22440672

Least Common Multiple (LCM) of 16404 and 16416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16404 and 16416. First we will calculate the prime factors of 16404 and 16416.

Prime Factorization of 16404

Prime Factorization of 16416

Now multiplying the highest exponent prime factors to calculate the LCM of 16404 and 16416.

LCM(16404,16416) = 2⁵ × 3³ × 1367¹ × 19¹
LCM(16404,16416) = 22440672