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What is the Least Common Multiple of 17708 and 17721?

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 17708 and 17721 is 313803468.

LCM(17708,17721) = 313803468

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Least Common Multiple of 17708 and 17721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17708 and 17721, than apply into the LCM equation.

GCF(17708,17721) = 1
LCM(17708,17721) = ( 17708 × 17721) / 1
LCM(17708,17721) = 313803468 / 1
LCM(17708,17721) = 313803468

Least Common Multiple (LCM) of 17708 and 17721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17708 and 17721. First we will calculate the prime factors of 17708 and 17721.

Prime Factorization of 17708

Prime factors of 17708 are 2, 19, 233. Prime factorization of 17708 in exponential form is:

17708 = 22 × 191 × 2331

Prime Factorization of 17721

Prime factors of 17721 are 3, 11, 179. Prime factorization of 17721 in exponential form is:

17721 = 32 × 111 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 17708 and 17721.

LCM(17708,17721) = 22 × 191 × 2331 × 32 × 111 × 1791
LCM(17708,17721) = 313803468