GCF and LCM Calculator Logo

What is the Least Common Multiple of 5785 and 5799?

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 5785 and 5799 is 33547215.

LCM(5785,5799) = 33547215

LCM Calculator and
and

Least Common Multiple of 5785 and 5799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5785 and 5799, than apply into the LCM equation.

GCF(5785,5799) = 1
LCM(5785,5799) = ( 5785 × 5799) / 1
LCM(5785,5799) = 33547215 / 1
LCM(5785,5799) = 33547215

Least Common Multiple (LCM) of 5785 and 5799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5785 and 5799. First we will calculate the prime factors of 5785 and 5799.

Prime Factorization of 5785

Prime factors of 5785 are 5, 13, 89. Prime factorization of 5785 in exponential form is:

5785 = 51 × 131 × 891

Prime Factorization of 5799

Prime factors of 5799 are 3, 1933. Prime factorization of 5799 in exponential form is:

5799 = 31 × 19331

Now multiplying the highest exponent prime factors to calculate the LCM of 5785 and 5799.

LCM(5785,5799) = 51 × 131 × 891 × 31 × 19331
LCM(5785,5799) = 33547215