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What is the Least Common Multiple of 13841 and 13848?

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 13848 is 191670168.

LCM(13841,13848) = 191670168

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Least Common Multiple of 13841 and 13848 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 13848, than apply into the LCM equation.

GCF(13841,13848) = 1
LCM(13841,13848) = ( 13841 × 13848) / 1
LCM(13841,13848) = 191670168 / 1
LCM(13841,13848) = 191670168

Least Common Multiple (LCM) of 13841 and 13848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13841 and 13848. First we will calculate the prime factors of 13841 and 13848.

Prime Factorization of 13841

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

13841 = 138411

Prime Factorization of 13848

Prime factors of 13848 are 2, 3, 577. Prime factorization of 13848 in exponential form is:

13848 = 23 × 31 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 13841 and 13848.

LCM(13841,13848) = 138411 × 23 × 31 × 5771
LCM(13841,13848) = 191670168