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What is the Least Common Multiple of 13893 and 13912?

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 13893 and 13912 is 193279416.

LCM(13893,13912) = 193279416

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Least Common Multiple of 13893 and 13912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13893 and 13912, than apply into the LCM equation.

GCF(13893,13912) = 1
LCM(13893,13912) = ( 13893 × 13912) / 1
LCM(13893,13912) = 193279416 / 1
LCM(13893,13912) = 193279416

Least Common Multiple (LCM) of 13893 and 13912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13893 and 13912. First we will calculate the prime factors of 13893 and 13912.

Prime Factorization of 13893

Prime factors of 13893 are 3, 11, 421. Prime factorization of 13893 in exponential form is:

13893 = 31 × 111 × 4211

Prime Factorization of 13912

Prime factors of 13912 are 2, 37, 47. Prime factorization of 13912 in exponential form is:

13912 = 23 × 371 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 13893 and 13912.

LCM(13893,13912) = 31 × 111 × 4211 × 23 × 371 × 471
LCM(13893,13912) = 193279416