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What is the Least Common Multiple of 12712 and 12726?

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 12712 and 12726 is 11555208.

LCM(12712,12726) = 11555208

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Least Common Multiple of 12712 and 12726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12712 and 12726, than apply into the LCM equation.

GCF(12712,12726) = 14
LCM(12712,12726) = ( 12712 × 12726) / 14
LCM(12712,12726) = 161772912 / 14
LCM(12712,12726) = 11555208

Least Common Multiple (LCM) of 12712 and 12726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12712 and 12726. First we will calculate the prime factors of 12712 and 12726.

Prime Factorization of 12712

Prime factors of 12712 are 2, 7, 227. Prime factorization of 12712 in exponential form is:

12712 = 23 × 71 × 2271

Prime Factorization of 12726

Prime factors of 12726 are 2, 3, 7, 101. Prime factorization of 12726 in exponential form is:

12726 = 21 × 32 × 71 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 12712 and 12726.

LCM(12712,12726) = 23 × 71 × 2271 × 32 × 1011
LCM(12712,12726) = 11555208