What is the Least Common Multiple of 11900 and 11904?

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 11900 and 11904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11900 and 11904, than apply into the LCM equation.

GCF(11900,11904) = 4
LCM(11900,11904) = ( 11900 × 11904) / 4
LCM(11900,11904) = 141657600 / 4
LCM(11900,11904) = 35414400

Least Common Multiple (LCM) of 11900 and 11904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11900 and 11904. First we will calculate the prime factors of 11900 and 11904.

Prime Factorization of 11900

Prime Factorization of 11904

Now multiplying the highest exponent prime factors to calculate the LCM of 11900 and 11904.

LCM(11900,11904) = 2⁷ × 5² × 7¹ × 17¹ × 3¹ × 31¹
LCM(11900,11904) = 35414400