Least Common Multiple of 5804 and 5808

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 5808 the smallest integer that is 8427408 that is divisible by both numbers.

Least Common Multiple (LCM) of 5804 and 5808 is 8427408.

LCM(5804,5808) = 8427408

LCM of 5804 and 5808

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

LCM of:
and

Least Common Multiple of 5804 and 5808

LCM of 5804 and 5808 is 8427408

Least common multiple can be found by multiplying the highest exponent prime factors of 5804 and 5808. First we will calculate the prime factors of 5804 and 5808.

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 5808


2 5808
2 2904
2 1452
2 726
3 363
11 121
11 11
1

Prime factors of 5808 are 2, 3,11. Prime factorization of 5808 in exponential form is:

5808 = 24×31×112

Now multiplying the highest exponent prime factors to calculate the LCM of 5804 and 5808.

LCM(5804,5808) = 24×31×112×14511
LCM(5804,5808) = 8427408

Factors of 5804

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

1, 2, 4, 1451, 2902, 5804

Factors of 5808

List of positive integer factors of 5808 that divides 5808 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 121, 132, 176, 242, 264, 363, 484, 528, 726, 968, 1452, 1936, 2904, 5808

Least Common Multiple of 5804 and 5808 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 5808, than apply into the LCM equation.

GCF(5804,5808) = 4
LCM(5804,5808) = ( 5804 × 5808) / 4
LCM(5804,5808) = 33709632 / 4
LCM(5804,5808) = 8427408

Properties of LCM 5804 and 5808

(i) The LCM of 5808 and 5804 is associative

LCM of 5804 and 5808 = LCM of 5808 and 5804

Related Least Common Multiples of 5804

Related Least Common Multiples of 5808

Frequently Asked Questions on LCM of 5804 and 5808

1. What is the LCM of 5804 and 5808?

Answer: LCM of 5804 and 5808 is 8427408.

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 5808?

Answer: Factors of 5808 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 121, 132, 176, 242, 264, 363, 484, 528, 726, 968, 1452, 1936, 2904, 5808. There are 30 integers that are factors of 5808. The greatest factor of 5808 is 5808.

4. How to Find the LCM of 5804 and 5808?

Answer:

Least Common Multiple of 5804 and 5808 = 8427408

Step 1: Find the prime factorization of 5804

5804 = 2 x 2 x 1451

Step 2: Find the prime factorization of 5808

5808 = 2 x 2 x 2 x 2 x 3 x 11 x 11

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

LCM = 8427408 = 2 x 2 x 2 x 2 x 3 x 11 x 11 x 1451

Step 4: Therefore, the least common multiple of 5804 and 5808 is 8427408.