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What is the Least Common Multiple of 13117 and 13129?

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 13117 and 13129 is 172213093.

LCM(13117,13129) = 172213093

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Least Common Multiple of 13117 and 13129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13117 and 13129, than apply into the LCM equation.

GCF(13117,13129) = 1
LCM(13117,13129) = ( 13117 × 13129) / 1
LCM(13117,13129) = 172213093 / 1
LCM(13117,13129) = 172213093

Least Common Multiple (LCM) of 13117 and 13129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13117 and 13129. First we will calculate the prime factors of 13117 and 13129.

Prime Factorization of 13117

Prime factors of 13117 are 13, 1009. Prime factorization of 13117 in exponential form is:

13117 = 131 × 10091

Prime Factorization of 13129

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

13129 = 191 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 13117 and 13129.

LCM(13117,13129) = 131 × 10091 × 191 × 6911
LCM(13117,13129) = 172213093