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What is the Least Common Multiple of 12689 and 12708?

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 12689 and 12708 is 161251812.

LCM(12689,12708) = 161251812

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Least Common Multiple of 12689 and 12708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12689 and 12708, than apply into the LCM equation.

GCF(12689,12708) = 1
LCM(12689,12708) = ( 12689 × 12708) / 1
LCM(12689,12708) = 161251812 / 1
LCM(12689,12708) = 161251812

Least Common Multiple (LCM) of 12689 and 12708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12689 and 12708. First we will calculate the prime factors of 12689 and 12708.

Prime Factorization of 12689

Prime factors of 12689 are 12689. Prime factorization of 12689 in exponential form is:

12689 = 126891

Prime Factorization of 12708

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

12708 = 22 × 32 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 12689 and 12708.

LCM(12689,12708) = 126891 × 22 × 32 × 3531
LCM(12689,12708) = 161251812