Least Common Multiple of 5807 and 5811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5807 and 5811 the smallest integer that is 33744477 that is divisible by both numbers.

Least Common Multiple (LCM) of 5807 and 5811 is 33744477.

LCM(5807,5811) = 33744477

LCM of 5807 and 5811

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

LCM of:
and

Least Common Multiple of 5807 and 5811

LCM of 5807 and 5811 is 33744477

Least common multiple can be found by multiplying the highest exponent prime factors of 5807 and 5811. First we will calculate the prime factors of 5807 and 5811.

Prime Factorization of 5807


5807 5807
1

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

5807 = 58071

Prime Factorization of 5811


3 5811
13 1937
149 149
1

Prime factors of 5811 are 3, 13,149. Prime factorization of 5811 in exponential form is:

5811 = 31×131×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 5807 and 5811.

LCM(5807,5811) = 31×131×1491×58071
LCM(5807,5811) = 33744477

Factors of 5807

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

1, 5807

Factors of 5811

List of positive integer factors of 5811 that divides 5811 without a remainder.

1, 3, 13, 39, 149, 447, 1937, 5811

Least Common Multiple of 5807 and 5811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5807 and 5811, than apply into the LCM equation.

GCF(5807,5811) = 1
LCM(5807,5811) = ( 5807 × 5811) / 1
LCM(5807,5811) = 33744477 / 1
LCM(5807,5811) = 33744477

Properties of LCM 5807 and 5811

(i) The LCM of 5811 and 5807 is associative

LCM of 5807 and 5811 = LCM of 5811 and 5807

Related Least Common Multiples of 5807

Related Least Common Multiples of 5811

Frequently Asked Questions on LCM of 5807 and 5811

1. What is the LCM of 5807 and 5811?

Answer: LCM of 5807 and 5811 is 33744477.

2. 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.

3. What are the Factors of 5811?

Answer: Factors of 5811 are 1, 3, 13, 39, 149, 447, 1937, 5811. There are 8 integers that are factors of 5811. The greatest factor of 5811 is 5811.

4. How to Find the LCM of 5807 and 5811?

Answer:

Least Common Multiple of 5807 and 5811 = 33744477

Step 1: Find the prime factorization of 5807

5807 = 5807

Step 2: Find the prime factorization of 5811

5811 = 3 x 13 x 149

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

LCM = 33744477 = 3 x 13 x 149 x 5807

Step 4: Therefore, the least common multiple of 5807 and 5811 is 33744477.