GCF and LCM Calculator Logo

What is the Least Common Multiple of 5794 and 5813?

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 5794 and 5813 is 33680522.

LCM(5794,5813) = 33680522

LCM Calculator and
and

Least Common Multiple of 5794 and 5813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5794 and 5813, than apply into the LCM equation.

GCF(5794,5813) = 1
LCM(5794,5813) = ( 5794 × 5813) / 1
LCM(5794,5813) = 33680522 / 1
LCM(5794,5813) = 33680522

Least Common Multiple (LCM) of 5794 and 5813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5794 and 5813. First we will calculate the prime factors of 5794 and 5813.

Prime Factorization of 5794

Prime factors of 5794 are 2, 2897. Prime factorization of 5794 in exponential form is:

5794 = 21 × 28971

Prime Factorization of 5813

Prime factors of 5813 are 5813. Prime factorization of 5813 in exponential form is:

5813 = 58131

Now multiplying the highest exponent prime factors to calculate the LCM of 5794 and 5813.

LCM(5794,5813) = 21 × 28971 × 58131
LCM(5794,5813) = 33680522