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What is the Least Common Multiple of 12906 and 12913?

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 12906 and 12913 is 166655178.

LCM(12906,12913) = 166655178

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Least Common Multiple of 12906 and 12913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12906 and 12913, than apply into the LCM equation.

GCF(12906,12913) = 1
LCM(12906,12913) = ( 12906 × 12913) / 1
LCM(12906,12913) = 166655178 / 1
LCM(12906,12913) = 166655178

Least Common Multiple (LCM) of 12906 and 12913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12906 and 12913. First we will calculate the prime factors of 12906 and 12913.

Prime Factorization of 12906

Prime factors of 12906 are 2, 3, 239. Prime factorization of 12906 in exponential form is:

12906 = 21 × 33 × 2391

Prime Factorization of 12913

Prime factors of 12913 are 37, 349. Prime factorization of 12913 in exponential form is:

12913 = 371 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 12906 and 12913.

LCM(12906,12913) = 21 × 33 × 2391 × 371 × 3491
LCM(12906,12913) = 166655178