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What is the Least Common Multiple of 13129 and 13144?

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 13129 and 13144 is 172567576.

LCM(13129,13144) = 172567576

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Least Common Multiple of 13129 and 13144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13129 and 13144, than apply into the LCM equation.

GCF(13129,13144) = 1
LCM(13129,13144) = ( 13129 × 13144) / 1
LCM(13129,13144) = 172567576 / 1
LCM(13129,13144) = 172567576

Least Common Multiple (LCM) of 13129 and 13144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13129 and 13144. First we will calculate the prime factors of 13129 and 13144.

Prime Factorization of 13129

Prime factors of 13129 are 19, 691. Prime factorization of 13129 in exponential form is:

13129 = 191 × 6911

Prime Factorization of 13144

Prime factors of 13144 are 2, 31, 53. Prime factorization of 13144 in exponential form is:

13144 = 23 × 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 13129 and 13144.

LCM(13129,13144) = 191 × 6911 × 23 × 311 × 531
LCM(13129,13144) = 172567576