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What is the Least Common Multiple of 12673 and 12685?

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 12673 and 12685 is 160757005.

LCM(12673,12685) = 160757005

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Least Common Multiple of 12673 and 12685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12673 and 12685, than apply into the LCM equation.

GCF(12673,12685) = 1
LCM(12673,12685) = ( 12673 × 12685) / 1
LCM(12673,12685) = 160757005 / 1
LCM(12673,12685) = 160757005

Least Common Multiple (LCM) of 12673 and 12685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12673 and 12685. First we will calculate the prime factors of 12673 and 12685.

Prime Factorization of 12673

Prime factors of 12673 are 19, 23, 29. Prime factorization of 12673 in exponential form is:

12673 = 191 × 231 × 291

Prime Factorization of 12685

Prime factors of 12685 are 5, 43, 59. Prime factorization of 12685 in exponential form is:

12685 = 51 × 431 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 12673 and 12685.

LCM(12673,12685) = 191 × 231 × 291 × 51 × 431 × 591
LCM(12673,12685) = 160757005