Least Common Multiple of 5794 and 5797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5794 and 5797 the smallest integer that is 33587818 that is divisible by both numbers.

Least Common Multiple (LCM) of 5794 and 5797 is 33587818.

LCM(5794,5797) = 33587818

LCM of 5794 and 5797

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

LCM of:
and

Least Common Multiple of 5794 and 5797

LCM of 5794 and 5797 is 33587818

Least common multiple can be found by multiplying the highest exponent prime factors of 5794 and 5797. First we will calculate the prime factors of 5794 and 5797.

Prime Factorization of 5794


2 5794
2897 2897
1

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

5794 = 21×28971

Prime Factorization of 5797


11 5797
17 527
31 31
1

Prime factors of 5797 are 11, 17,31. Prime factorization of 5797 in exponential form is:

5797 = 111×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5794 and 5797.

LCM(5794,5797) = 21×111×171×311×28971
LCM(5794,5797) = 33587818

Factors of 5794

List of positive integer factors of 5794 that divides 5794 without a remainder.

1, 2, 2897, 5794

Factors of 5797

List of positive integer factors of 5797 that divides 5797 without a remainder.

1, 11, 17, 31, 187, 341, 527, 5797

Least Common Multiple of 5794 and 5797 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 5797, than apply into the LCM equation.

GCF(5794,5797) = 1
LCM(5794,5797) = ( 5794 × 5797) / 1
LCM(5794,5797) = 33587818 / 1
LCM(5794,5797) = 33587818

Properties of LCM 5794 and 5797

(i) The LCM of 5797 and 5794 is associative

LCM of 5794 and 5797 = LCM of 5797 and 5794

Related Least Common Multiples of 5794

Related Least Common Multiples of 5797

Frequently Asked Questions on LCM of 5794 and 5797

1. What is the LCM of 5794 and 5797?

Answer: LCM of 5794 and 5797 is 33587818.

2. What are the Factors of 5794?

Answer: Factors of 5794 are 1, 2, 2897, 5794. There are 4 integers that are factors of 5794. The greatest factor of 5794 is 5794.

3. What are the Factors of 5797?

Answer: Factors of 5797 are 1, 11, 17, 31, 187, 341, 527, 5797. There are 8 integers that are factors of 5797. The greatest factor of 5797 is 5797.

4. How to Find the LCM of 5794 and 5797?

Answer:

Least Common Multiple of 5794 and 5797 = 33587818

Step 1: Find the prime factorization of 5794

5794 = 2 x 2897

Step 2: Find the prime factorization of 5797

5797 = 11 x 17 x 31

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

LCM = 33587818 = 2 x 11 x 17 x 31 x 2897

Step 4: Therefore, the least common multiple of 5794 and 5797 is 33587818.