GCF and LCM Calculator Logo

What is the Least Common Multiple of 17698 and 17709?

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 17698 and 17709 is 313413882.

LCM(17698,17709) = 313413882

LCM Calculator and
and

Least Common Multiple of 17698 and 17709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17698 and 17709, than apply into the LCM equation.

GCF(17698,17709) = 1
LCM(17698,17709) = ( 17698 × 17709) / 1
LCM(17698,17709) = 313413882 / 1
LCM(17698,17709) = 313413882

Least Common Multiple (LCM) of 17698 and 17709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17698 and 17709. First we will calculate the prime factors of 17698 and 17709.

Prime Factorization of 17698

Prime factors of 17698 are 2, 8849. Prime factorization of 17698 in exponential form is:

17698 = 21 × 88491

Prime Factorization of 17709

Prime factors of 17709 are 3, 5903. Prime factorization of 17709 in exponential form is:

17709 = 31 × 59031

Now multiplying the highest exponent prime factors to calculate the LCM of 17698 and 17709.

LCM(17698,17709) = 21 × 88491 × 31 × 59031
LCM(17698,17709) = 313413882