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What is the Least Common Multiple of 12934 and 12943?

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 12934 and 12943 is 167404762.

LCM(12934,12943) = 167404762

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Least Common Multiple of 12934 and 12943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12934 and 12943, than apply into the LCM equation.

GCF(12934,12943) = 1
LCM(12934,12943) = ( 12934 × 12943) / 1
LCM(12934,12943) = 167404762 / 1
LCM(12934,12943) = 167404762

Least Common Multiple (LCM) of 12934 and 12943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12934 and 12943. First we will calculate the prime factors of 12934 and 12943.

Prime Factorization of 12934

Prime factors of 12934 are 2, 29, 223. Prime factorization of 12934 in exponential form is:

12934 = 21 × 291 × 2231

Prime Factorization of 12943

Prime factors of 12943 are 7, 43. Prime factorization of 12943 in exponential form is:

12943 = 71 × 432

Now multiplying the highest exponent prime factors to calculate the LCM of 12934 and 12943.

LCM(12934,12943) = 21 × 291 × 2231 × 71 × 432
LCM(12934,12943) = 167404762