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What is the Least Common Multiple of 13017 and 13027?

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 13017 and 13027 is 169572459.

LCM(13017,13027) = 169572459

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Least Common Multiple of 13017 and 13027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13017 and 13027, than apply into the LCM equation.

GCF(13017,13027) = 1
LCM(13017,13027) = ( 13017 × 13027) / 1
LCM(13017,13027) = 169572459 / 1
LCM(13017,13027) = 169572459

Least Common Multiple (LCM) of 13017 and 13027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13017 and 13027. First we will calculate the prime factors of 13017 and 13027.

Prime Factorization of 13017

Prime factors of 13017 are 3, 4339. Prime factorization of 13017 in exponential form is:

13017 = 31 × 43391

Prime Factorization of 13027

Prime factors of 13027 are 7, 1861. Prime factorization of 13027 in exponential form is:

13027 = 71 × 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 13017 and 13027.

LCM(13017,13027) = 31 × 43391 × 71 × 18611
LCM(13017,13027) = 169572459