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What is the Least Common Multiple of 12708 and 12728?

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 12708 and 12728 is 40436856.

LCM(12708,12728) = 40436856

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Least Common Multiple of 12708 and 12728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12708 and 12728, than apply into the LCM equation.

GCF(12708,12728) = 4
LCM(12708,12728) = ( 12708 × 12728) / 4
LCM(12708,12728) = 161747424 / 4
LCM(12708,12728) = 40436856

Least Common Multiple (LCM) of 12708 and 12728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12708 and 12728. First we will calculate the prime factors of 12708 and 12728.

Prime Factorization of 12708

Prime factors of 12708 are 2, 3, 353. Prime factorization of 12708 in exponential form is:

12708 = 22 × 32 × 3531

Prime Factorization of 12728

Prime factors of 12728 are 2, 37, 43. Prime factorization of 12728 in exponential form is:

12728 = 23 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 12708 and 12728.

LCM(12708,12728) = 23 × 32 × 3531 × 371 × 431
LCM(12708,12728) = 40436856