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What is the Least Common Multiple of 12726 and 12734?

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 12726 and 12734 is 81026442.

LCM(12726,12734) = 81026442

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Least Common Multiple of 12726 and 12734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12726 and 12734, than apply into the LCM equation.

GCF(12726,12734) = 2
LCM(12726,12734) = ( 12726 × 12734) / 2
LCM(12726,12734) = 162052884 / 2
LCM(12726,12734) = 81026442

Least Common Multiple (LCM) of 12726 and 12734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12726 and 12734. First we will calculate the prime factors of 12726 and 12734.

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

Prime Factorization of 12734

Prime factors of 12734 are 2, 6367. Prime factorization of 12734 in exponential form is:

12734 = 21 × 63671

Now multiplying the highest exponent prime factors to calculate the LCM of 12726 and 12734.

LCM(12726,12734) = 21 × 32 × 71 × 1011 × 63671
LCM(12726,12734) = 81026442