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What is the Least Common Multiple of 13891 and 13896?

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 13891 and 13896 is 193029336.

LCM(13891,13896) = 193029336

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Least Common Multiple of 13891 and 13896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13891 and 13896, than apply into the LCM equation.

GCF(13891,13896) = 1
LCM(13891,13896) = ( 13891 × 13896) / 1
LCM(13891,13896) = 193029336 / 1
LCM(13891,13896) = 193029336

Least Common Multiple (LCM) of 13891 and 13896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13891 and 13896. First we will calculate the prime factors of 13891 and 13896.

Prime Factorization of 13891

Prime factors of 13891 are 29, 479. Prime factorization of 13891 in exponential form is:

13891 = 291 × 4791

Prime Factorization of 13896

Prime factors of 13896 are 2, 3, 193. Prime factorization of 13896 in exponential form is:

13896 = 23 × 32 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 13891 and 13896.

LCM(13891,13896) = 291 × 4791 × 23 × 32 × 1931
LCM(13891,13896) = 193029336