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What is the Least Common Multiple of 27702 and 27717?

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 27702 and 27717 is 255938778.

LCM(27702,27717) = 255938778

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Least Common Multiple of 27702 and 27717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27702 and 27717, than apply into the LCM equation.

GCF(27702,27717) = 3
LCM(27702,27717) = ( 27702 × 27717) / 3
LCM(27702,27717) = 767816334 / 3
LCM(27702,27717) = 255938778

Least Common Multiple (LCM) of 27702 and 27717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27702 and 27717. First we will calculate the prime factors of 27702 and 27717.

Prime Factorization of 27702

Prime factors of 27702 are 2, 3, 19. Prime factorization of 27702 in exponential form is:

27702 = 21 × 36 × 191

Prime Factorization of 27717

Prime factors of 27717 are 3, 9239. Prime factorization of 27717 in exponential form is:

27717 = 31 × 92391

Now multiplying the highest exponent prime factors to calculate the LCM of 27702 and 27717.

LCM(27702,27717) = 21 × 36 × 191 × 92391
LCM(27702,27717) = 255938778