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What is the Least Common Multiple of 13873 and 13889?

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 13873 and 13889 is 192682097.

LCM(13873,13889) = 192682097

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Least Common Multiple of 13873 and 13889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13873 and 13889, than apply into the LCM equation.

GCF(13873,13889) = 1
LCM(13873,13889) = ( 13873 × 13889) / 1
LCM(13873,13889) = 192682097 / 1
LCM(13873,13889) = 192682097

Least Common Multiple (LCM) of 13873 and 13889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13873 and 13889. First we will calculate the prime factors of 13873 and 13889.

Prime Factorization of 13873

Prime factors of 13873 are 13873. Prime factorization of 13873 in exponential form is:

13873 = 138731

Prime Factorization of 13889

Prime factors of 13889 are 17, 19, 43. Prime factorization of 13889 in exponential form is:

13889 = 171 × 191 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 13873 and 13889.

LCM(13873,13889) = 138731 × 171 × 191 × 431
LCM(13873,13889) = 192682097