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What is the Least Common Multiple of 13009 and 13024?

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 13024 is 169429216.

LCM(13009,13024) = 169429216

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Least Common Multiple of 13009 and 13024 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 13024, than apply into the LCM equation.

GCF(13009,13024) = 1
LCM(13009,13024) = ( 13009 × 13024) / 1
LCM(13009,13024) = 169429216 / 1
LCM(13009,13024) = 169429216

Least Common Multiple (LCM) of 13009 and 13024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13009 and 13024. First we will calculate the prime factors of 13009 and 13024.

Prime Factorization of 13009

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

13009 = 130091

Prime Factorization of 13024

Prime factors of 13024 are 2, 11, 37. Prime factorization of 13024 in exponential form is:

13024 = 25 × 111 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 13009 and 13024.

LCM(13009,13024) = 130091 × 25 × 111 × 371
LCM(13009,13024) = 169429216