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What is the Least Common Multiple of 12886 and 12891?

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 12886 and 12891 is 166113426.

LCM(12886,12891) = 166113426

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Least Common Multiple of 12886 and 12891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12886 and 12891, than apply into the LCM equation.

GCF(12886,12891) = 1
LCM(12886,12891) = ( 12886 × 12891) / 1
LCM(12886,12891) = 166113426 / 1
LCM(12886,12891) = 166113426

Least Common Multiple (LCM) of 12886 and 12891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12886 and 12891. First we will calculate the prime factors of 12886 and 12891.

Prime Factorization of 12886

Prime factors of 12886 are 2, 17, 379. Prime factorization of 12886 in exponential form is:

12886 = 21 × 171 × 3791

Prime Factorization of 12891

Prime factors of 12891 are 3, 4297. Prime factorization of 12891 in exponential form is:

12891 = 31 × 42971

Now multiplying the highest exponent prime factors to calculate the LCM of 12886 and 12891.

LCM(12886,12891) = 21 × 171 × 3791 × 31 × 42971
LCM(12886,12891) = 166113426