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What is the Least Common Multiple of 17289 and 17307?

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 17289 and 17307 is 33246747.

LCM(17289,17307) = 33246747

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Least Common Multiple of 17289 and 17307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17289 and 17307, than apply into the LCM equation.

GCF(17289,17307) = 9
LCM(17289,17307) = ( 17289 × 17307) / 9
LCM(17289,17307) = 299220723 / 9
LCM(17289,17307) = 33246747

Least Common Multiple (LCM) of 17289 and 17307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17289 and 17307. First we will calculate the prime factors of 17289 and 17307.

Prime Factorization of 17289

Prime factors of 17289 are 3, 17, 113. Prime factorization of 17289 in exponential form is:

17289 = 32 × 171 × 1131

Prime Factorization of 17307

Prime factors of 17307 are 3, 641. Prime factorization of 17307 in exponential form is:

17307 = 33 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 17289 and 17307.

LCM(17289,17307) = 33 × 171 × 1131 × 6411
LCM(17289,17307) = 33246747