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What is the Least Common Multiple of 13841 and 13857?

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 13841 and 13857 is 191794737.

LCM(13841,13857) = 191794737

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Least Common Multiple of 13841 and 13857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13841 and 13857, than apply into the LCM equation.

GCF(13841,13857) = 1
LCM(13841,13857) = ( 13841 × 13857) / 1
LCM(13841,13857) = 191794737 / 1
LCM(13841,13857) = 191794737

Least Common Multiple (LCM) of 13841 and 13857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13841 and 13857. First we will calculate the prime factors of 13841 and 13857.

Prime Factorization of 13841

Prime factors of 13841 are 13841. Prime factorization of 13841 in exponential form is:

13841 = 138411

Prime Factorization of 13857

Prime factors of 13857 are 3, 31, 149. Prime factorization of 13857 in exponential form is:

13857 = 31 × 311 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 13841 and 13857.

LCM(13841,13857) = 138411 × 31 × 311 × 1491
LCM(13841,13857) = 191794737