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What is the Least Common Multiple of 17597 and 17614?

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 17597 and 17614 is 309953558.

LCM(17597,17614) = 309953558

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Least Common Multiple of 17597 and 17614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17597 and 17614, than apply into the LCM equation.

GCF(17597,17614) = 1
LCM(17597,17614) = ( 17597 × 17614) / 1
LCM(17597,17614) = 309953558 / 1
LCM(17597,17614) = 309953558

Least Common Multiple (LCM) of 17597 and 17614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17597 and 17614. First we will calculate the prime factors of 17597 and 17614.

Prime Factorization of 17597

Prime factors of 17597 are 17597. Prime factorization of 17597 in exponential form is:

17597 = 175971

Prime Factorization of 17614

Prime factors of 17614 are 2, 8807. Prime factorization of 17614 in exponential form is:

17614 = 21 × 88071

Now multiplying the highest exponent prime factors to calculate the LCM of 17597 and 17614.

LCM(17597,17614) = 175971 × 21 × 88071
LCM(17597,17614) = 309953558