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What is the Least Common Multiple of 13817 and 13835?

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 13817 and 13835 is 191158195.

LCM(13817,13835) = 191158195

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Least Common Multiple of 13817 and 13835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13817 and 13835, than apply into the LCM equation.

GCF(13817,13835) = 1
LCM(13817,13835) = ( 13817 × 13835) / 1
LCM(13817,13835) = 191158195 / 1
LCM(13817,13835) = 191158195

Least Common Multiple (LCM) of 13817 and 13835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13817 and 13835. First we will calculate the prime factors of 13817 and 13835.

Prime Factorization of 13817

Prime factors of 13817 are 41, 337. Prime factorization of 13817 in exponential form is:

13817 = 411 × 3371

Prime Factorization of 13835

Prime factors of 13835 are 5, 2767. Prime factorization of 13835 in exponential form is:

13835 = 51 × 27671

Now multiplying the highest exponent prime factors to calculate the LCM of 13817 and 13835.

LCM(13817,13835) = 411 × 3371 × 51 × 27671
LCM(13817,13835) = 191158195