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What is the Least Common Multiple of 17713 and 17727?

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 17713 and 17727 is 313998351.

LCM(17713,17727) = 313998351

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Least Common Multiple of 17713 and 17727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17713 and 17727, than apply into the LCM equation.

GCF(17713,17727) = 1
LCM(17713,17727) = ( 17713 × 17727) / 1
LCM(17713,17727) = 313998351 / 1
LCM(17713,17727) = 313998351

Least Common Multiple (LCM) of 17713 and 17727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17713 and 17727. First we will calculate the prime factors of 17713 and 17727.

Prime Factorization of 17713

Prime factors of 17713 are 17713. Prime factorization of 17713 in exponential form is:

17713 = 177131

Prime Factorization of 17727

Prime factors of 17727 are 3, 19, 311. Prime factorization of 17727 in exponential form is:

17727 = 31 × 191 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 17713 and 17727.

LCM(17713,17727) = 177131 × 31 × 191 × 3111
LCM(17713,17727) = 313998351