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What is the Least Common Multiple of 12683 and 12691?

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 12683 and 12691 is 160959953.

LCM(12683,12691) = 160959953

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Least Common Multiple of 12683 and 12691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12683 and 12691, than apply into the LCM equation.

GCF(12683,12691) = 1
LCM(12683,12691) = ( 12683 × 12691) / 1
LCM(12683,12691) = 160959953 / 1
LCM(12683,12691) = 160959953

Least Common Multiple (LCM) of 12683 and 12691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12683 and 12691. First we will calculate the prime factors of 12683 and 12691.

Prime Factorization of 12683

Prime factors of 12683 are 11, 1153. Prime factorization of 12683 in exponential form is:

12683 = 111 × 11531

Prime Factorization of 12691

Prime factors of 12691 are 7, 37. Prime factorization of 12691 in exponential form is:

12691 = 73 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 12683 and 12691.

LCM(12683,12691) = 111 × 11531 × 73 × 371
LCM(12683,12691) = 160959953