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What is the Least Common Multiple of 12744 and 12764?

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 12744 and 12764 is 40666104.

LCM(12744,12764) = 40666104

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Least Common Multiple of 12744 and 12764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12744 and 12764, than apply into the LCM equation.

GCF(12744,12764) = 4
LCM(12744,12764) = ( 12744 × 12764) / 4
LCM(12744,12764) = 162664416 / 4
LCM(12744,12764) = 40666104

Least Common Multiple (LCM) of 12744 and 12764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12744 and 12764. First we will calculate the prime factors of 12744 and 12764.

Prime Factorization of 12744

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

12744 = 23 × 33 × 591

Prime Factorization of 12764

Prime factors of 12764 are 2, 3191. Prime factorization of 12764 in exponential form is:

12764 = 22 × 31911

Now multiplying the highest exponent prime factors to calculate the LCM of 12744 and 12764.

LCM(12744,12764) = 23 × 33 × 591 × 31911
LCM(12744,12764) = 40666104