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What is the Least Common Multiple of 17645 and 17659?

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 17645 and 17659 is 311593055.

LCM(17645,17659) = 311593055

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Least Common Multiple of 17645 and 17659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17645 and 17659, than apply into the LCM equation.

GCF(17645,17659) = 1
LCM(17645,17659) = ( 17645 × 17659) / 1
LCM(17645,17659) = 311593055 / 1
LCM(17645,17659) = 311593055

Least Common Multiple (LCM) of 17645 and 17659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17645 and 17659. First we will calculate the prime factors of 17645 and 17659.

Prime Factorization of 17645

Prime factors of 17645 are 5, 3529. Prime factorization of 17645 in exponential form is:

17645 = 51 × 35291

Prime Factorization of 17659

Prime factors of 17659 are 17659. Prime factorization of 17659 in exponential form is:

17659 = 176591

Now multiplying the highest exponent prime factors to calculate the LCM of 17645 and 17659.

LCM(17645,17659) = 51 × 35291 × 176591
LCM(17645,17659) = 311593055