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What is the Least Common Multiple of 18209 and 18213?

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 18209 and 18213 is 331640517.

LCM(18209,18213) = 331640517

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Least Common Multiple of 18209 and 18213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18209 and 18213, than apply into the LCM equation.

GCF(18209,18213) = 1
LCM(18209,18213) = ( 18209 × 18213) / 1
LCM(18209,18213) = 331640517 / 1
LCM(18209,18213) = 331640517

Least Common Multiple (LCM) of 18209 and 18213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18209 and 18213. First we will calculate the prime factors of 18209 and 18213.

Prime Factorization of 18209

Prime factors of 18209 are 131, 139. Prime factorization of 18209 in exponential form is:

18209 = 1311 × 1391

Prime Factorization of 18213

Prime factors of 18213 are 3, 13, 467. Prime factorization of 18213 in exponential form is:

18213 = 31 × 131 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 18209 and 18213.

LCM(18209,18213) = 1311 × 1391 × 31 × 131 × 4671
LCM(18209,18213) = 331640517