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What is the Least Common Multiple of 18289 and 18309?

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 18289 and 18309 is 334853301.

LCM(18289,18309) = 334853301

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Least Common Multiple of 18289 and 18309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18289 and 18309, than apply into the LCM equation.

GCF(18289,18309) = 1
LCM(18289,18309) = ( 18289 × 18309) / 1
LCM(18289,18309) = 334853301 / 1
LCM(18289,18309) = 334853301

Least Common Multiple (LCM) of 18289 and 18309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18289 and 18309. First we will calculate the prime factors of 18289 and 18309.

Prime Factorization of 18289

Prime factors of 18289 are 18289. Prime factorization of 18289 in exponential form is:

18289 = 182891

Prime Factorization of 18309

Prime factors of 18309 are 3, 17, 359. Prime factorization of 18309 in exponential form is:

18309 = 31 × 171 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 18289 and 18309.

LCM(18289,18309) = 182891 × 31 × 171 × 3591
LCM(18289,18309) = 334853301