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What is the Least Common Multiple of 18697 and 18717?

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 18697 and 18717 is 349951749.

LCM(18697,18717) = 349951749

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Least Common Multiple of 18697 and 18717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18697 and 18717, than apply into the LCM equation.

GCF(18697,18717) = 1
LCM(18697,18717) = ( 18697 × 18717) / 1
LCM(18697,18717) = 349951749 / 1
LCM(18697,18717) = 349951749

Least Common Multiple (LCM) of 18697 and 18717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18697 and 18717. First we will calculate the prime factors of 18697 and 18717.

Prime Factorization of 18697

Prime factors of 18697 are 7, 2671. Prime factorization of 18697 in exponential form is:

18697 = 71 × 26711

Prime Factorization of 18717

Prime factors of 18717 are 3, 17, 367. Prime factorization of 18717 in exponential form is:

18717 = 31 × 171 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 18697 and 18717.

LCM(18697,18717) = 71 × 26711 × 31 × 171 × 3671
LCM(18697,18717) = 349951749