Least Common Multiple of 5800 and 5804

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 5804 the smallest integer that is 8415800 that is divisible by both numbers.

Least Common Multiple (LCM) of 5800 and 5804 is 8415800.

LCM(5800,5804) = 8415800

LCM of 5800 and 5804

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

LCM of:
and

Least Common Multiple of 5800 and 5804

LCM of 5800 and 5804 is 8415800

Least common multiple can be found by multiplying the highest exponent prime factors of 5800 and 5804. First we will calculate the prime factors of 5800 and 5804.

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 5804


2 5804
2 2902
1451 1451
1

Prime factors of 5804 are 2,1451. Prime factorization of 5804 in exponential form is:

5804 = 22×14511

Now multiplying the highest exponent prime factors to calculate the LCM of 5800 and 5804.

LCM(5800,5804) = 23×52×291×14511
LCM(5800,5804) = 8415800

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 5804

List of positive integer factors of 5804 that divides 5804 without a remainder.

1, 2, 4, 1451, 2902, 5804

Least Common Multiple of 5800 and 5804 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 5804, than apply into the LCM equation.

GCF(5800,5804) = 4
LCM(5800,5804) = ( 5800 × 5804) / 4
LCM(5800,5804) = 33663200 / 4
LCM(5800,5804) = 8415800

Properties of LCM 5800 and 5804

(i) The LCM of 5804 and 5800 is associative

LCM of 5800 and 5804 = LCM of 5804 and 5800

Related Least Common Multiples of 5800

Related Least Common Multiples of 5804

Frequently Asked Questions on LCM of 5800 and 5804

1. What is the LCM of 5800 and 5804?

Answer: LCM of 5800 and 5804 is 8415800.

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 5804?

Answer: Factors of 5804 are 1, 2, 4, 1451, 2902, 5804. There are 6 integers that are factors of 5804. The greatest factor of 5804 is 5804.

4. How to Find the LCM of 5800 and 5804?

Answer:

Least Common Multiple of 5800 and 5804 = 8415800

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 5804

5804 = 2 x 2 x 1451

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

LCM = 8415800 = 2 x 2 x 2 x 5 x 5 x 29 x 1451

Step 4: Therefore, the least common multiple of 5800 and 5804 is 8415800.