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What is the Least Common Multiple of 17683 and 17702?

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 17683 and 17702 is 313024466.

LCM(17683,17702) = 313024466

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Least Common Multiple of 17683 and 17702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17683 and 17702, than apply into the LCM equation.

GCF(17683,17702) = 1
LCM(17683,17702) = ( 17683 × 17702) / 1
LCM(17683,17702) = 313024466 / 1
LCM(17683,17702) = 313024466

Least Common Multiple (LCM) of 17683 and 17702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17683 and 17702. First we will calculate the prime factors of 17683 and 17702.

Prime Factorization of 17683

Prime factors of 17683 are 17683. Prime factorization of 17683 in exponential form is:

17683 = 176831

Prime Factorization of 17702

Prime factors of 17702 are 2, 53, 167. Prime factorization of 17702 in exponential form is:

17702 = 21 × 531 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 17683 and 17702.

LCM(17683,17702) = 176831 × 21 × 531 × 1671
LCM(17683,17702) = 313024466