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What is the Least Common Multiple of 12513 and 12529?

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 12513 and 12529 is 156775377.

LCM(12513,12529) = 156775377

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Least Common Multiple of 12513 and 12529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12513 and 12529, than apply into the LCM equation.

GCF(12513,12529) = 1
LCM(12513,12529) = ( 12513 × 12529) / 1
LCM(12513,12529) = 156775377 / 1
LCM(12513,12529) = 156775377

Least Common Multiple (LCM) of 12513 and 12529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12513 and 12529. First we will calculate the prime factors of 12513 and 12529.

Prime Factorization of 12513

Prime factors of 12513 are 3, 43, 97. Prime factorization of 12513 in exponential form is:

12513 = 31 × 431 × 971

Prime Factorization of 12529

Prime factors of 12529 are 11, 17, 67. Prime factorization of 12529 in exponential form is:

12529 = 111 × 171 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 12513 and 12529.

LCM(12513,12529) = 31 × 431 × 971 × 111 × 171 × 671
LCM(12513,12529) = 156775377