Least Common Multiple of 5804 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 5804 and 5811 the smallest integer that is 33727044 that is divisible by both numbers.

Least Common Multiple (LCM) of 5804 and 5811 is 33727044.

LCM(5804,5811) = 33727044

LCM of 5804 and 5811

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

LCM of:
and

Least Common Multiple of 5804 and 5811

LCM of 5804 and 5811 is 33727044

Least common multiple can be found by multiplying the highest exponent prime factors of 5804 and 5811. First we will calculate the prime factors of 5804 and 5811.

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

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 5804 and 5811.

LCM(5804,5811) = 22×31×131×1491×14511
LCM(5804,5811) = 33727044

Factors of 5804

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

1, 2, 4, 1451, 2902, 5804

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 5804 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 5804 and 5811, than apply into the LCM equation.

GCF(5804,5811) = 1
LCM(5804,5811) = ( 5804 × 5811) / 1
LCM(5804,5811) = 33727044 / 1
LCM(5804,5811) = 33727044

Properties of LCM 5804 and 5811

(i) The LCM of 5811 and 5804 is associative

LCM of 5804 and 5811 = LCM of 5811 and 5804

Related Least Common Multiples of 5804

Related Least Common Multiples of 5811

Frequently Asked Questions on LCM of 5804 and 5811

1. What is the LCM of 5804 and 5811?

Answer: LCM of 5804 and 5811 is 33727044.

2. 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.

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 5804 and 5811?

Answer:

Least Common Multiple of 5804 and 5811 = 33727044

Step 1: Find the prime factorization of 5804

5804 = 2 x 2 x 1451

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 = 33727044 = 2 x 2 x 3 x 13 x 149 x 1451

Step 4: Therefore, the least common multiple of 5804 and 5811 is 33727044.