GCF and LCM Calculator Logo

What is the Least Common Multiple of 5794 and 5800?

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 5800 is 16802600.

LCM(5794,5800) = 16802600

LCM Calculator and
and

Least Common Multiple of 5794 and 5800 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 5800, than apply into the LCM equation.

GCF(5794,5800) = 2
LCM(5794,5800) = ( 5794 × 5800) / 2
LCM(5794,5800) = 33605200 / 2
LCM(5794,5800) = 16802600

Least Common Multiple (LCM) of 5794 and 5800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5794 and 5800. First we will calculate the prime factors of 5794 and 5800.

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 5800

Prime factors of 5800 are 2, 5, 29. Prime factorization of 5800 in exponential form is:

5800 = 23 × 52 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 5794 and 5800.

LCM(5794,5800) = 23 × 28971 × 52 × 291
LCM(5794,5800) = 16802600