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What is the Least Common Multiple of 27305 and 27317?

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 27305 and 27317 is 745890685.

LCM(27305,27317) = 745890685

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Least Common Multiple of 27305 and 27317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27305 and 27317, than apply into the LCM equation.

GCF(27305,27317) = 1
LCM(27305,27317) = ( 27305 × 27317) / 1
LCM(27305,27317) = 745890685 / 1
LCM(27305,27317) = 745890685

Least Common Multiple (LCM) of 27305 and 27317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27305 and 27317. First we will calculate the prime factors of 27305 and 27317.

Prime Factorization of 27305

Prime factors of 27305 are 5, 43, 127. Prime factorization of 27305 in exponential form is:

27305 = 51 × 431 × 1271

Prime Factorization of 27317

Prime factors of 27317 are 59, 463. Prime factorization of 27317 in exponential form is:

27317 = 591 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 27305 and 27317.

LCM(27305,27317) = 51 × 431 × 1271 × 591 × 4631
LCM(27305,27317) = 745890685