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What is the Least Common Multiple of 17687 and 17698?

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 17687 and 17698 is 313024526.

LCM(17687,17698) = 313024526

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Least Common Multiple of 17687 and 17698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17687 and 17698, than apply into the LCM equation.

GCF(17687,17698) = 1
LCM(17687,17698) = ( 17687 × 17698) / 1
LCM(17687,17698) = 313024526 / 1
LCM(17687,17698) = 313024526

Least Common Multiple (LCM) of 17687 and 17698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17687 and 17698. First we will calculate the prime factors of 17687 and 17698.

Prime Factorization of 17687

Prime factors of 17687 are 23, 769. Prime factorization of 17687 in exponential form is:

17687 = 231 × 7691

Prime Factorization of 17698

Prime factors of 17698 are 2, 8849. Prime factorization of 17698 in exponential form is:

17698 = 21 × 88491

Now multiplying the highest exponent prime factors to calculate the LCM of 17687 and 17698.

LCM(17687,17698) = 231 × 7691 × 21 × 88491
LCM(17687,17698) = 313024526