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
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
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