GCF and LCM Calculator Logo

What is the Least Common Multiple of 27699 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 27699 and 27717 is 255911061.

LCM(27699,27717) = 255911061

LCM Calculator and
and

Least Common Multiple of 27699 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 27699 and 27717, than apply into the LCM equation.

GCF(27699,27717) = 3
LCM(27699,27717) = ( 27699 × 27717) / 3
LCM(27699,27717) = 767733183 / 3
LCM(27699,27717) = 255911061

Least Common Multiple (LCM) of 27699 and 27717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27699 and 27717. First we will calculate the prime factors of 27699 and 27717.

Prime Factorization of 27699

Prime factors of 27699 are 3, 7, 1319. Prime factorization of 27699 in exponential form is:

27699 = 31 × 71 × 13191

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 27699 and 27717.

LCM(27699,27717) = 31 × 71 × 13191 × 92391
LCM(27699,27717) = 255911061