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What is the Least Common Multiple of 12929 and 12949?

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 12949 is 167417621.

LCM(12929,12949) = 167417621

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Least Common Multiple of 12929 and 12949 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 12949, than apply into the LCM equation.

GCF(12929,12949) = 1
LCM(12929,12949) = ( 12929 × 12949) / 1
LCM(12929,12949) = 167417621 / 1
LCM(12929,12949) = 167417621

Least Common Multiple (LCM) of 12929 and 12949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12929 and 12949. First we will calculate the prime factors of 12929 and 12949.

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 12949

Prime factors of 12949 are 23, 563. Prime factorization of 12949 in exponential form is:

12949 = 231 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 12929 and 12949.

LCM(12929,12949) = 71 × 18471 × 231 × 5631
LCM(12929,12949) = 167417621