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What is the Least Common Multiple of 27701 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 27701 and 27717 is 767788617.

LCM(27701,27717) = 767788617

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Least Common Multiple of 27701 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 27701 and 27717, than apply into the LCM equation.

GCF(27701,27717) = 1
LCM(27701,27717) = ( 27701 × 27717) / 1
LCM(27701,27717) = 767788617 / 1
LCM(27701,27717) = 767788617

Least Common Multiple (LCM) of 27701 and 27717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27701 and 27717. First we will calculate the prime factors of 27701 and 27717.

Prime Factorization of 27701

Prime factors of 27701 are 27701. Prime factorization of 27701 in exponential form is:

27701 = 277011

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 27701 and 27717.

LCM(27701,27717) = 277011 × 31 × 92391
LCM(27701,27717) = 767788617