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What is the Least Common Multiple of 18309 and 18313?

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 18309 and 18313 is 335292717.

LCM(18309,18313) = 335292717

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Least Common Multiple of 18309 and 18313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18309 and 18313, than apply into the LCM equation.

GCF(18309,18313) = 1
LCM(18309,18313) = ( 18309 × 18313) / 1
LCM(18309,18313) = 335292717 / 1
LCM(18309,18313) = 335292717

Least Common Multiple (LCM) of 18309 and 18313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18309 and 18313. First we will calculate the prime factors of 18309 and 18313.

Prime Factorization of 18309

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

18309 = 31 × 171 × 3591

Prime Factorization of 18313

Prime factors of 18313 are 18313. Prime factorization of 18313 in exponential form is:

18313 = 183131

Now multiplying the highest exponent prime factors to calculate the LCM of 18309 and 18313.

LCM(18309,18313) = 31 × 171 × 3591 × 183131
LCM(18309,18313) = 335292717