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What is the Least Common Multiple of 13117 and 13127?

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 13127 is 172186859.

LCM(13117,13127) = 172186859

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Least Common Multiple of 13117 and 13127 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 13127, than apply into the LCM equation.

GCF(13117,13127) = 1
LCM(13117,13127) = ( 13117 × 13127) / 1
LCM(13117,13127) = 172186859 / 1
LCM(13117,13127) = 172186859

Least Common Multiple (LCM) of 13117 and 13127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13117 and 13127. First we will calculate the prime factors of 13117 and 13127.

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 13127

Prime factors of 13127 are 13127. Prime factorization of 13127 in exponential form is:

13127 = 131271

Now multiplying the highest exponent prime factors to calculate the LCM of 13117 and 13127.

LCM(13117,13127) = 131 × 10091 × 131271
LCM(13117,13127) = 172186859