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What is the Least Common Multiple of 13129 and 13143?

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 13143 is 172554447.

LCM(13129,13143) = 172554447

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Least Common Multiple of 13129 and 13143 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 13143, than apply into the LCM equation.

GCF(13129,13143) = 1
LCM(13129,13143) = ( 13129 × 13143) / 1
LCM(13129,13143) = 172554447 / 1
LCM(13129,13143) = 172554447

Least Common Multiple (LCM) of 13129 and 13143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13129 and 13143. First we will calculate the prime factors of 13129 and 13143.

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 13143

Prime factors of 13143 are 3, 13, 337. Prime factorization of 13143 in exponential form is:

13143 = 31 × 131 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 13129 and 13143.

LCM(13129,13143) = 191 × 6911 × 31 × 131 × 3371
LCM(13129,13143) = 172554447