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What is the Least Common Multiple of 13024 and 13039?

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 13024 and 13039 is 169819936.

LCM(13024,13039) = 169819936

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Least Common Multiple of 13024 and 13039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13024 and 13039, than apply into the LCM equation.

GCF(13024,13039) = 1
LCM(13024,13039) = ( 13024 × 13039) / 1
LCM(13024,13039) = 169819936 / 1
LCM(13024,13039) = 169819936

Least Common Multiple (LCM) of 13024 and 13039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13024 and 13039. First we will calculate the prime factors of 13024 and 13039.

Prime Factorization of 13024

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

13024 = 25 × 111 × 371

Prime Factorization of 13039

Prime factors of 13039 are 13, 17, 59. Prime factorization of 13039 in exponential form is:

13039 = 131 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 13024 and 13039.

LCM(13024,13039) = 25 × 111 × 371 × 131 × 171 × 591
LCM(13024,13039) = 169819936