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What is the Least Common Multiple of 12742 and 12747?

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 12742 and 12747 is 162422274.

LCM(12742,12747) = 162422274

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Least Common Multiple of 12742 and 12747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12742 and 12747, than apply into the LCM equation.

GCF(12742,12747) = 1
LCM(12742,12747) = ( 12742 × 12747) / 1
LCM(12742,12747) = 162422274 / 1
LCM(12742,12747) = 162422274

Least Common Multiple (LCM) of 12742 and 12747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12742 and 12747. First we will calculate the prime factors of 12742 and 12747.

Prime Factorization of 12742

Prime factors of 12742 are 2, 23, 277. Prime factorization of 12742 in exponential form is:

12742 = 21 × 231 × 2771

Prime Factorization of 12747

Prime factors of 12747 are 3, 7, 607. Prime factorization of 12747 in exponential form is:

12747 = 31 × 71 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 12742 and 12747.

LCM(12742,12747) = 21 × 231 × 2771 × 31 × 71 × 6071
LCM(12742,12747) = 162422274