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What is the Least Common Multiple of 11305 and 11309?

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 11305 and 11309 is 127848245.

LCM(11305,11309) = 127848245

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Least Common Multiple of 11305 and 11309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11305 and 11309, than apply into the LCM equation.

GCF(11305,11309) = 1
LCM(11305,11309) = ( 11305 × 11309) / 1
LCM(11305,11309) = 127848245 / 1
LCM(11305,11309) = 127848245

Least Common Multiple (LCM) of 11305 and 11309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11305 and 11309. First we will calculate the prime factors of 11305 and 11309.

Prime Factorization of 11305

Prime factors of 11305 are 5, 7, 17, 19. Prime factorization of 11305 in exponential form is:

11305 = 51 × 71 × 171 × 191

Prime Factorization of 11309

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

11309 = 431 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 11305 and 11309.

LCM(11305,11309) = 51 × 71 × 171 × 191 × 431 × 2631
LCM(11305,11309) = 127848245