GCF and LCM Calculator Logo

What is the Least Common Multiple of 17631 and 17647?

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 17631 and 17647 is 311134257.

LCM(17631,17647) = 311134257

LCM Calculator and
and

Least Common Multiple of 17631 and 17647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17631 and 17647, than apply into the LCM equation.

GCF(17631,17647) = 1
LCM(17631,17647) = ( 17631 × 17647) / 1
LCM(17631,17647) = 311134257 / 1
LCM(17631,17647) = 311134257

Least Common Multiple (LCM) of 17631 and 17647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17631 and 17647. First we will calculate the prime factors of 17631 and 17647.

Prime Factorization of 17631

Prime factors of 17631 are 3, 653. Prime factorization of 17631 in exponential form is:

17631 = 33 × 6531

Prime Factorization of 17647

Prime factors of 17647 are 7, 2521. Prime factorization of 17647 in exponential form is:

17647 = 71 × 25211

Now multiplying the highest exponent prime factors to calculate the LCM of 17631 and 17647.

LCM(17631,17647) = 33 × 6531 × 71 × 25211
LCM(17631,17647) = 311134257