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What is the Least Common Multiple of 12784 and 12790?

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 12784 and 12790 is 81753680.

LCM(12784,12790) = 81753680

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Least Common Multiple of 12784 and 12790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12784 and 12790, than apply into the LCM equation.

GCF(12784,12790) = 2
LCM(12784,12790) = ( 12784 × 12790) / 2
LCM(12784,12790) = 163507360 / 2
LCM(12784,12790) = 81753680

Least Common Multiple (LCM) of 12784 and 12790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12784 and 12790. First we will calculate the prime factors of 12784 and 12790.

Prime Factorization of 12784

Prime factors of 12784 are 2, 17, 47. Prime factorization of 12784 in exponential form is:

12784 = 24 × 171 × 471

Prime Factorization of 12790

Prime factors of 12790 are 2, 5, 1279. Prime factorization of 12790 in exponential form is:

12790 = 21 × 51 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 12784 and 12790.

LCM(12784,12790) = 24 × 171 × 471 × 51 × 12791
LCM(12784,12790) = 81753680