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What is the Least Common Multiple of 11891 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 (LCM) of 11891 and 11904 is 141550464.

LCM(11891,11904) = 141550464

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Least Common Multiple of 11891 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 11891 and 11904, than apply into the LCM equation.

GCF(11891,11904) = 1
LCM(11891,11904) = ( 11891 × 11904) / 1
LCM(11891,11904) = 141550464 / 1
LCM(11891,11904) = 141550464

Least Common Multiple (LCM) of 11891 and 11904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11891 and 11904. First we will calculate the prime factors of 11891 and 11904.

Prime Factorization of 11891

Prime factors of 11891 are 11, 23, 47. Prime factorization of 11891 in exponential form is:

11891 = 111 × 231 × 471

Prime Factorization of 11904

Prime factors of 11904 are 2, 3, 31. Prime factorization of 11904 in exponential form is:

11904 = 27 × 31 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 11891 and 11904.

LCM(11891,11904) = 111 × 231 × 471 × 27 × 31 × 311
LCM(11891,11904) = 141550464