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What is the Least Common Multiple of 13681 and 13699?

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 13681 and 13699 is 187416019.

LCM(13681,13699) = 187416019

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Least Common Multiple of 13681 and 13699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13681 and 13699, than apply into the LCM equation.

GCF(13681,13699) = 1
LCM(13681,13699) = ( 13681 × 13699) / 1
LCM(13681,13699) = 187416019 / 1
LCM(13681,13699) = 187416019

Least Common Multiple (LCM) of 13681 and 13699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13681 and 13699. First we will calculate the prime factors of 13681 and 13699.

Prime Factorization of 13681

Prime factors of 13681 are 13681. Prime factorization of 13681 in exponential form is:

13681 = 136811

Prime Factorization of 13699

Prime factors of 13699 are 7, 19, 103. Prime factorization of 13699 in exponential form is:

13699 = 71 × 191 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 13681 and 13699.

LCM(13681,13699) = 136811 × 71 × 191 × 1031
LCM(13681,13699) = 187416019