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What is the Least Common Multiple of 12537 and 12547?

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 12537 and 12547 is 157301739.

LCM(12537,12547) = 157301739

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Least Common Multiple of 12537 and 12547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12537 and 12547, than apply into the LCM equation.

GCF(12537,12547) = 1
LCM(12537,12547) = ( 12537 × 12547) / 1
LCM(12537,12547) = 157301739 / 1
LCM(12537,12547) = 157301739

Least Common Multiple (LCM) of 12537 and 12547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12537 and 12547. First we will calculate the prime factors of 12537 and 12547.

Prime Factorization of 12537

Prime factors of 12537 are 3, 7, 199. Prime factorization of 12537 in exponential form is:

12537 = 32 × 71 × 1991

Prime Factorization of 12547

Prime factors of 12547 are 12547. Prime factorization of 12547 in exponential form is:

12547 = 125471

Now multiplying the highest exponent prime factors to calculate the LCM of 12537 and 12547.

LCM(12537,12547) = 32 × 71 × 1991 × 125471
LCM(12537,12547) = 157301739