GCF and LCM Calculator Logo

What is the Least Common Multiple of 17841 and 17858?

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 17841 and 17858 is 318604578.

LCM(17841,17858) = 318604578

LCM Calculator and
and

Least Common Multiple of 17841 and 17858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17841 and 17858, than apply into the LCM equation.

GCF(17841,17858) = 1
LCM(17841,17858) = ( 17841 × 17858) / 1
LCM(17841,17858) = 318604578 / 1
LCM(17841,17858) = 318604578

Least Common Multiple (LCM) of 17841 and 17858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17841 and 17858. First we will calculate the prime factors of 17841 and 17858.

Prime Factorization of 17841

Prime factors of 17841 are 3, 19, 313. Prime factorization of 17841 in exponential form is:

17841 = 31 × 191 × 3131

Prime Factorization of 17858

Prime factors of 17858 are 2, 8929. Prime factorization of 17858 in exponential form is:

17858 = 21 × 89291

Now multiplying the highest exponent prime factors to calculate the LCM of 17841 and 17858.

LCM(17841,17858) = 31 × 191 × 3131 × 21 × 89291
LCM(17841,17858) = 318604578