Least Common Multiple of 5791 and 5799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5791 and 5799 the smallest integer that is 33582009 that is divisible by both numbers.

Least Common Multiple (LCM) of 5791 and 5799 is 33582009.

LCM(5791,5799) = 33582009

LCM of 5791 and 5799

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5791 and 5799

LCM of 5791 and 5799 is 33582009

Least common multiple can be found by multiplying the highest exponent prime factors of 5791 and 5799. First we will calculate the prime factors of 5791 and 5799.

Prime Factorization of 5791


5791 5791
1

Prime factors of 5791 are 5791. Prime factorization of 5791 in exponential form is:

5791 = 57911

Prime Factorization of 5799


3 5799
1933 1933
1

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 5791 and 5799.

LCM(5791,5799) = 31×19331×57911
LCM(5791,5799) = 33582009

Factors of 5791

List of positive integer factors of 5791 that divides 5791 without a remainder.

1, 5791

Factors of 5799

List of positive integer factors of 5799 that divides 5799 without a remainder.

1, 3, 1933, 5799

Least Common Multiple of 5791 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 5791 and 5799, than apply into the LCM equation.

GCF(5791,5799) = 1
LCM(5791,5799) = ( 5791 × 5799) / 1
LCM(5791,5799) = 33582009 / 1
LCM(5791,5799) = 33582009

Properties of LCM 5791 and 5799

(i) The LCM of 5799 and 5791 is associative

LCM of 5791 and 5799 = LCM of 5799 and 5791

Related Least Common Multiples of 5791

Related Least Common Multiples of 5799

Frequently Asked Questions on LCM of 5791 and 5799

1. What is the LCM of 5791 and 5799?

Answer: LCM of 5791 and 5799 is 33582009.

2. What are the Factors of 5791?

Answer: Factors of 5791 are 1, 5791. There are 2 integers that are factors of 5791. The greatest factor of 5791 is 5791.

3. What are the Factors of 5799?

Answer: Factors of 5799 are 1, 3, 1933, 5799. There are 4 integers that are factors of 5799. The greatest factor of 5799 is 5799.

4. How to Find the LCM of 5791 and 5799?

Answer:

Least Common Multiple of 5791 and 5799 = 33582009

Step 1: Find the prime factorization of 5791

5791 = 5791

Step 2: Find the prime factorization of 5799

5799 = 3 x 1933

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 33582009 = 3 x 1933 x 5791

Step 4: Therefore, the least common multiple of 5791 and 5799 is 33582009.