Least Common Multiple of 5800 and 5806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5800 and 5806 the smallest integer that is 16837400 that is divisible by both numbers.

Least Common Multiple (LCM) of 5800 and 5806 is 16837400.

LCM(5800,5806) = 16837400

LCM of 5800 and 5806

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

LCM of:
and

Least Common Multiple of 5800 and 5806

LCM of 5800 and 5806 is 16837400

Least common multiple can be found by multiplying the highest exponent prime factors of 5800 and 5806. First we will calculate the prime factors of 5800 and 5806.

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

Prime Factorization of 5806


2 5806
2903 2903
1

Prime factors of 5806 are 2,2903. Prime factorization of 5806 in exponential form is:

5806 = 21×29031

Now multiplying the highest exponent prime factors to calculate the LCM of 5800 and 5806.

LCM(5800,5806) = 23×52×291×29031
LCM(5800,5806) = 16837400

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

Factors of 5806

List of positive integer factors of 5806 that divides 5806 without a remainder.

1, 2, 2903, 5806

Least Common Multiple of 5800 and 5806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5800 and 5806, than apply into the LCM equation.

GCF(5800,5806) = 2
LCM(5800,5806) = ( 5800 × 5806) / 2
LCM(5800,5806) = 33674800 / 2
LCM(5800,5806) = 16837400

Properties of LCM 5800 and 5806

(i) The LCM of 5806 and 5800 is associative

LCM of 5800 and 5806 = LCM of 5806 and 5800

Related Least Common Multiples of 5800

Related Least Common Multiples of 5806

Frequently Asked Questions on LCM of 5800 and 5806

1. What is the LCM of 5800 and 5806?

Answer: LCM of 5800 and 5806 is 16837400.

2. 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.

3. What are the Factors of 5806?

Answer: Factors of 5806 are 1, 2, 2903, 5806. There are 4 integers that are factors of 5806. The greatest factor of 5806 is 5806.

4. How to Find the LCM of 5800 and 5806?

Answer:

Least Common Multiple of 5800 and 5806 = 16837400

Step 1: Find the prime factorization of 5800

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

Step 2: Find the prime factorization of 5806

5806 = 2 x 2903

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

LCM = 16837400 = 2 x 2 x 2 x 5 x 5 x 29 x 2903

Step 4: Therefore, the least common multiple of 5800 and 5806 is 16837400.