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What is the Least Common Multiple of 12742 and 12753?

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 12753 is 162498726.

LCM(12742,12753) = 162498726

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Least Common Multiple of 12742 and 12753 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 12753, than apply into the LCM equation.

GCF(12742,12753) = 1
LCM(12742,12753) = ( 12742 × 12753) / 1
LCM(12742,12753) = 162498726 / 1
LCM(12742,12753) = 162498726

Least Common Multiple (LCM) of 12742 and 12753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12742 and 12753. First we will calculate the prime factors of 12742 and 12753.

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 12753

Prime factors of 12753 are 3, 13, 109. Prime factorization of 12753 in exponential form is:

12753 = 32 × 131 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 12742 and 12753.

LCM(12742,12753) = 21 × 231 × 2771 × 32 × 131 × 1091
LCM(12742,12753) = 162498726