GCF and LCM Calculator Logo

What is the Least Common Multiple of 5803 and 5814?

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 5803 and 5814 is 33738642.

LCM(5803,5814) = 33738642

LCM Calculator and
and

Least Common Multiple of 5803 and 5814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5803 and 5814, than apply into the LCM equation.

GCF(5803,5814) = 1
LCM(5803,5814) = ( 5803 × 5814) / 1
LCM(5803,5814) = 33738642 / 1
LCM(5803,5814) = 33738642

Least Common Multiple (LCM) of 5803 and 5814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5803 and 5814. First we will calculate the prime factors of 5803 and 5814.

Prime Factorization of 5803

Prime factors of 5803 are 7, 829. Prime factorization of 5803 in exponential form is:

5803 = 71 × 8291

Prime Factorization of 5814

Prime factors of 5814 are 2, 3, 17, 19. Prime factorization of 5814 in exponential form is:

5814 = 21 × 32 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 5803 and 5814.

LCM(5803,5814) = 71 × 8291 × 21 × 32 × 171 × 191
LCM(5803,5814) = 33738642