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What is the Least Common Multiple of 12929 and 12936?

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 12929 and 12936 is 23892792.

LCM(12929,12936) = 23892792

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Least Common Multiple of 12929 and 12936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12929 and 12936, than apply into the LCM equation.

GCF(12929,12936) = 7
LCM(12929,12936) = ( 12929 × 12936) / 7
LCM(12929,12936) = 167249544 / 7
LCM(12929,12936) = 23892792

Least Common Multiple (LCM) of 12929 and 12936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12929 and 12936. First we will calculate the prime factors of 12929 and 12936.

Prime Factorization of 12929

Prime factors of 12929 are 7, 1847. Prime factorization of 12929 in exponential form is:

12929 = 71 × 18471

Prime Factorization of 12936

Prime factors of 12936 are 2, 3, 7, 11. Prime factorization of 12936 in exponential form is:

12936 = 23 × 31 × 72 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 12929 and 12936.

LCM(12929,12936) = 72 × 18471 × 23 × 31 × 111
LCM(12929,12936) = 23892792