Least Common Multiple of 5794 and 5800

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 5800 the smallest integer that is 16802600 that is divisible by both numbers.

Least Common Multiple (LCM) of 5794 and 5800 is 16802600.

LCM(5794,5800) = 16802600

LCM of 5794 and 5800

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

LCM of:
and

Least Common Multiple of 5794 and 5800

LCM of 5794 and 5800 is 16802600

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


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 5800


2 5800
2 2900
2 1450
5 725
5 145
29 29
1

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

Factors of 5794

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

1, 2, 2897, 5794

Factors of 5800

List of positive integer factors of 5800 that divides 5800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800

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

Properties of LCM 5794 and 5800

(i) The LCM of 5800 and 5794 is associative

LCM of 5794 and 5800 = LCM of 5800 and 5794

Related Least Common Multiples of 5794

Related Least Common Multiples of 5800

Frequently Asked Questions on LCM of 5794 and 5800

1. What is the LCM of 5794 and 5800?

Answer: LCM of 5794 and 5800 is 16802600.

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 5800?

Answer: Factors of 5800 are 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800. There are 24 integers that are factors of 5800. The greatest factor of 5800 is 5800.

4. How to Find the LCM of 5794 and 5800?

Answer:

Least Common Multiple of 5794 and 5800 = 16802600

Step 1: Find the prime factorization of 5794

5794 = 2 x 2897

Step 2: Find the prime factorization of 5800

5800 = 2 x 2 x 2 x 5 x 5 x 29

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

LCM = 16802600 = 2 x 2 x 2 x 5 x 5 x 29 x 2897

Step 4: Therefore, the least common multiple of 5794 and 5800 is 16802600.