What is the Least Common Multiple of 11904 and 11920?

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 11920 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 11920, than apply into the LCM equation.

GCF(11904,11920) = 16
LCM(11904,11920) = ( 11904 × 11920) / 16
LCM(11904,11920) = 141895680 / 16
LCM(11904,11920) = 8868480

Least Common Multiple (LCM) of 11904 and 11920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11904 and 11920. First we will calculate the prime factors of 11904 and 11920.

Prime Factorization of 11904

Prime Factorization of 11920

Now multiplying the highest exponent prime factors to calculate the LCM of 11904 and 11920.

LCM(11904,11920) = 2⁷ × 3¹ × 31¹ × 5¹ × 149¹
LCM(11904,11920) = 8868480