GCF and LCM Calculator Logo

What is the Least Common Multiple of 17717 and 17727?

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 17717 and 17727 is 314069259.

LCM(17717,17727) = 314069259

LCM Calculator and
and

Least Common Multiple of 17717 and 17727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17717 and 17727, than apply into the LCM equation.

GCF(17717,17727) = 1
LCM(17717,17727) = ( 17717 × 17727) / 1
LCM(17717,17727) = 314069259 / 1
LCM(17717,17727) = 314069259

Least Common Multiple (LCM) of 17717 and 17727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17717 and 17727. First we will calculate the prime factors of 17717 and 17727.

Prime Factorization of 17717

Prime factors of 17717 are 7, 2531. Prime factorization of 17717 in exponential form is:

17717 = 71 × 25311

Prime Factorization of 17727

Prime factors of 17727 are 3, 19, 311. Prime factorization of 17727 in exponential form is:

17727 = 31 × 191 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 17717 and 17727.

LCM(17717,17727) = 71 × 25311 × 31 × 191 × 3111
LCM(17717,17727) = 314069259