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What is the Least Common Multiple of 11309 and 11321?

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 11309 and 11321 is 128029189.

LCM(11309,11321) = 128029189

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Least Common Multiple of 11309 and 11321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11309 and 11321, than apply into the LCM equation.

GCF(11309,11321) = 1
LCM(11309,11321) = ( 11309 × 11321) / 1
LCM(11309,11321) = 128029189 / 1
LCM(11309,11321) = 128029189

Least Common Multiple (LCM) of 11309 and 11321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11309 and 11321. First we will calculate the prime factors of 11309 and 11321.

Prime Factorization of 11309

Prime factors of 11309 are 43, 263. Prime factorization of 11309 in exponential form is:

11309 = 431 × 2631

Prime Factorization of 11321

Prime factors of 11321 are 11321. Prime factorization of 11321 in exponential form is:

11321 = 113211

Now multiplying the highest exponent prime factors to calculate the LCM of 11309 and 11321.

LCM(11309,11321) = 431 × 2631 × 113211
LCM(11309,11321) = 128029189