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What is the Least Common Multiple of 12791 and 12811?

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 12791 and 12811 is 163865501.

LCM(12791,12811) = 163865501

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Least Common Multiple of 12791 and 12811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12791 and 12811, than apply into the LCM equation.

GCF(12791,12811) = 1
LCM(12791,12811) = ( 12791 × 12811) / 1
LCM(12791,12811) = 163865501 / 1
LCM(12791,12811) = 163865501

Least Common Multiple (LCM) of 12791 and 12811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12791 and 12811. First we will calculate the prime factors of 12791 and 12811.

Prime Factorization of 12791

Prime factors of 12791 are 12791. Prime factorization of 12791 in exponential form is:

12791 = 127911

Prime Factorization of 12811

Prime factors of 12811 are 23, 557. Prime factorization of 12811 in exponential form is:

12811 = 231 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 12791 and 12811.

LCM(12791,12811) = 127911 × 231 × 5571
LCM(12791,12811) = 163865501