Least Common Multiple of 5800 and 5807

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 5807 the smallest integer that is 33680600 that is divisible by both numbers.

Least Common Multiple (LCM) of 5800 and 5807 is 33680600.

LCM(5800,5807) = 33680600

LCM of 5800 and 5807

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

LCM of:
and

Least Common Multiple of 5800 and 5807

LCM of 5800 and 5807 is 33680600

Least common multiple can be found by multiplying the highest exponent prime factors of 5800 and 5807. First we will calculate the prime factors of 5800 and 5807.

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 5807


5807 5807
1

Prime factors of 5807 are 5807. Prime factorization of 5807 in exponential form is:

5807 = 58071

Now multiplying the highest exponent prime factors to calculate the LCM of 5800 and 5807.

LCM(5800,5807) = 23×52×291×58071
LCM(5800,5807) = 33680600

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 5807

List of positive integer factors of 5807 that divides 5807 without a remainder.

1, 5807

Least Common Multiple of 5800 and 5807 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 5807, than apply into the LCM equation.

GCF(5800,5807) = 1
LCM(5800,5807) = ( 5800 × 5807) / 1
LCM(5800,5807) = 33680600 / 1
LCM(5800,5807) = 33680600

Properties of LCM 5800 and 5807

(i) The LCM of 5807 and 5800 is associative

LCM of 5800 and 5807 = LCM of 5807 and 5800

Related Least Common Multiples of 5800

Related Least Common Multiples of 5807

Frequently Asked Questions on LCM of 5800 and 5807

1. What is the LCM of 5800 and 5807?

Answer: LCM of 5800 and 5807 is 33680600.

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 5807?

Answer: Factors of 5807 are 1, 5807. There are 2 integers that are factors of 5807. The greatest factor of 5807 is 5807.

4. How to Find the LCM of 5800 and 5807?

Answer:

Least Common Multiple of 5800 and 5807 = 33680600

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 5807

5807 = 5807

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

LCM = 33680600 = 2 x 2 x 2 x 5 x 5 x 29 x 5807

Step 4: Therefore, the least common multiple of 5800 and 5807 is 33680600.