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What is the Least Common Multiple of 12691 and 12699?

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 12691 and 12699 is 161163009.

LCM(12691,12699) = 161163009

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Least Common Multiple of 12691 and 12699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12691 and 12699, than apply into the LCM equation.

GCF(12691,12699) = 1
LCM(12691,12699) = ( 12691 × 12699) / 1
LCM(12691,12699) = 161163009 / 1
LCM(12691,12699) = 161163009

Least Common Multiple (LCM) of 12691 and 12699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12691 and 12699. First we will calculate the prime factors of 12691 and 12699.

Prime Factorization of 12691

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

12691 = 73 × 371

Prime Factorization of 12699

Prime factors of 12699 are 3, 17, 83. Prime factorization of 12699 in exponential form is:

12699 = 32 × 171 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 12691 and 12699.

LCM(12691,12699) = 73 × 371 × 32 × 171 × 831
LCM(12691,12699) = 161163009