What is the Least Common Multiple of 11904 and 11916?

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 11904 and 11916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11904 and 11916, than apply into the LCM equation.

GCF(11904,11916) = 12
LCM(11904,11916) = ( 11904 × 11916) / 12
LCM(11904,11916) = 141848064 / 12
LCM(11904,11916) = 11820672

Least Common Multiple (LCM) of 11904 and 11916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11904 and 11916. First we will calculate the prime factors of 11904 and 11916.

Prime Factorization of 11904

Prime Factorization of 11916

Now multiplying the highest exponent prime factors to calculate the LCM of 11904 and 11916.

LCM(11904,11916) = 2⁷ × 3² × 31¹ × 331¹
LCM(11904,11916) = 11820672