GCF and LCM Calculator Logo

What is the Least Common Multiple of 17802 and 17813?

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 17802 and 17813 is 317107026.

LCM(17802,17813) = 317107026

LCM Calculator and
and

Least Common Multiple of 17802 and 17813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17802 and 17813, than apply into the LCM equation.

GCF(17802,17813) = 1
LCM(17802,17813) = ( 17802 × 17813) / 1
LCM(17802,17813) = 317107026 / 1
LCM(17802,17813) = 317107026

Least Common Multiple (LCM) of 17802 and 17813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17802 and 17813. First we will calculate the prime factors of 17802 and 17813.

Prime Factorization of 17802

Prime factors of 17802 are 2, 3, 23, 43. Prime factorization of 17802 in exponential form is:

17802 = 21 × 32 × 231 × 431

Prime Factorization of 17813

Prime factors of 17813 are 47, 379. Prime factorization of 17813 in exponential form is:

17813 = 471 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 17802 and 17813.

LCM(17802,17813) = 21 × 32 × 231 × 431 × 471 × 3791
LCM(17802,17813) = 317107026