Least Common Multiple of 5794 and 5798

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 5798 the smallest integer that is 16796806 that is divisible by both numbers.

Least Common Multiple (LCM) of 5794 and 5798 is 16796806.

LCM(5794,5798) = 16796806

LCM of 5794 and 5798

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

LCM of:
and

Least Common Multiple of 5794 and 5798

LCM of 5794 and 5798 is 16796806

Least common multiple can be found by multiplying the highest exponent prime factors of 5794 and 5798. First we will calculate the prime factors of 5794 and 5798.

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 5798


2 5798
13 2899
223 223
1

Prime factors of 5798 are 2, 13,223. Prime factorization of 5798 in exponential form is:

5798 = 21×131×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 5794 and 5798.

LCM(5794,5798) = 21×131×2231×28971
LCM(5794,5798) = 16796806

Factors of 5794

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

1, 2, 2897, 5794

Factors of 5798

List of positive integer factors of 5798 that divides 5798 without a remainder.

1, 2, 13, 26, 223, 446, 2899, 5798

Least Common Multiple of 5794 and 5798 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 5798, than apply into the LCM equation.

GCF(5794,5798) = 2
LCM(5794,5798) = ( 5794 × 5798) / 2
LCM(5794,5798) = 33593612 / 2
LCM(5794,5798) = 16796806

Properties of LCM 5794 and 5798

(i) The LCM of 5798 and 5794 is associative

LCM of 5794 and 5798 = LCM of 5798 and 5794

Related Least Common Multiples of 5794

Related Least Common Multiples of 5798

Frequently Asked Questions on LCM of 5794 and 5798

1. What is the LCM of 5794 and 5798?

Answer: LCM of 5794 and 5798 is 16796806.

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 5798?

Answer: Factors of 5798 are 1, 2, 13, 26, 223, 446, 2899, 5798. There are 8 integers that are factors of 5798. The greatest factor of 5798 is 5798.

4. How to Find the LCM of 5794 and 5798?

Answer:

Least Common Multiple of 5794 and 5798 = 16796806

Step 1: Find the prime factorization of 5794

5794 = 2 x 2897

Step 2: Find the prime factorization of 5798

5798 = 2 x 13 x 223

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

LCM = 16796806 = 2 x 13 x 223 x 2897

Step 4: Therefore, the least common multiple of 5794 and 5798 is 16796806.