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What is the Least Common Multiple of 12726 and 12744?

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 12744 is 9010008.

LCM(12726,12744) = 9010008

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Least Common Multiple of 12726 and 12744 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 12744, than apply into the LCM equation.

GCF(12726,12744) = 18
LCM(12726,12744) = ( 12726 × 12744) / 18
LCM(12726,12744) = 162180144 / 18
LCM(12726,12744) = 9010008

Least Common Multiple (LCM) of 12726 and 12744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12726 and 12744. First we will calculate the prime factors of 12726 and 12744.

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 12744

Prime factors of 12744 are 2, 3, 59. Prime factorization of 12744 in exponential form is:

12744 = 23 × 33 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 12726 and 12744.

LCM(12726,12744) = 23 × 33 × 71 × 1011 × 591
LCM(12726,12744) = 9010008