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What is the Least Common Multiple of 13009 and 13015?

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 13009 and 13015 is 169312135.

LCM(13009,13015) = 169312135

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Least Common Multiple of 13009 and 13015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13009 and 13015, than apply into the LCM equation.

GCF(13009,13015) = 1
LCM(13009,13015) = ( 13009 × 13015) / 1
LCM(13009,13015) = 169312135 / 1
LCM(13009,13015) = 169312135

Least Common Multiple (LCM) of 13009 and 13015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13009 and 13015. First we will calculate the prime factors of 13009 and 13015.

Prime Factorization of 13009

Prime factors of 13009 are 13009. Prime factorization of 13009 in exponential form is:

13009 = 130091

Prime Factorization of 13015

Prime factors of 13015 are 5, 19, 137. Prime factorization of 13015 in exponential form is:

13015 = 51 × 191 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 13009 and 13015.

LCM(13009,13015) = 130091 × 51 × 191 × 1371
LCM(13009,13015) = 169312135