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What is the Least Common Multiple of 13081 and 13093?

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 13081 and 13093 is 171269533.

LCM(13081,13093) = 171269533

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Least Common Multiple of 13081 and 13093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13081 and 13093, than apply into the LCM equation.

GCF(13081,13093) = 1
LCM(13081,13093) = ( 13081 × 13093) / 1
LCM(13081,13093) = 171269533 / 1
LCM(13081,13093) = 171269533

Least Common Multiple (LCM) of 13081 and 13093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13081 and 13093. First we will calculate the prime factors of 13081 and 13093.

Prime Factorization of 13081

Prime factors of 13081 are 103, 127. Prime factorization of 13081 in exponential form is:

13081 = 1031 × 1271

Prime Factorization of 13093

Prime factors of 13093 are 13093. Prime factorization of 13093 in exponential form is:

13093 = 130931

Now multiplying the highest exponent prime factors to calculate the LCM of 13081 and 13093.

LCM(13081,13093) = 1031 × 1271 × 130931
LCM(13081,13093) = 171269533