Least Common Multiple of 5804 and 5810

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 5810 the smallest integer that is 16860620 that is divisible by both numbers.

Least Common Multiple (LCM) of 5804 and 5810 is 16860620.

LCM(5804,5810) = 16860620

LCM of 5804 and 5810

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

LCM of:
and

Least Common Multiple of 5804 and 5810

LCM of 5804 and 5810 is 16860620

Least common multiple can be found by multiplying the highest exponent prime factors of 5804 and 5810. First we will calculate the prime factors of 5804 and 5810.

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 5810


2 5810
5 2905
7 581
83 83
1

Prime factors of 5810 are 2, 5, 7,83. Prime factorization of 5810 in exponential form is:

5810 = 21×51×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 5804 and 5810.

LCM(5804,5810) = 22×51×71×831×14511
LCM(5804,5810) = 16860620

Factors of 5804

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

1, 2, 4, 1451, 2902, 5804

Factors of 5810

List of positive integer factors of 5810 that divides 5810 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810

Least Common Multiple of 5804 and 5810 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 5810, than apply into the LCM equation.

GCF(5804,5810) = 2
LCM(5804,5810) = ( 5804 × 5810) / 2
LCM(5804,5810) = 33721240 / 2
LCM(5804,5810) = 16860620

Properties of LCM 5804 and 5810

(i) The LCM of 5810 and 5804 is associative

LCM of 5804 and 5810 = LCM of 5810 and 5804

Related Least Common Multiples of 5804

Related Least Common Multiples of 5810

Frequently Asked Questions on LCM of 5804 and 5810

1. What is the LCM of 5804 and 5810?

Answer: LCM of 5804 and 5810 is 16860620.

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 5810?

Answer: Factors of 5810 are 1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810. There are 16 integers that are factors of 5810. The greatest factor of 5810 is 5810.

4. How to Find the LCM of 5804 and 5810?

Answer:

Least Common Multiple of 5804 and 5810 = 16860620

Step 1: Find the prime factorization of 5804

5804 = 2 x 2 x 1451

Step 2: Find the prime factorization of 5810

5810 = 2 x 5 x 7 x 83

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

LCM = 16860620 = 2 x 2 x 5 x 7 x 83 x 1451

Step 4: Therefore, the least common multiple of 5804 and 5810 is 16860620.