Least Common Multiple of 5804 and 5809

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 5809 the smallest integer that is 33715436 that is divisible by both numbers.

Least Common Multiple (LCM) of 5804 and 5809 is 33715436.

LCM(5804,5809) = 33715436

LCM of 5804 and 5809

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

LCM of:
and

Least Common Multiple of 5804 and 5809

LCM of 5804 and 5809 is 33715436

Least common multiple can be found by multiplying the highest exponent prime factors of 5804 and 5809. First we will calculate the prime factors of 5804 and 5809.

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 5809


37 5809
157 157
1

Prime factors of 5809 are 37,157. Prime factorization of 5809 in exponential form is:

5809 = 371×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 5804 and 5809.

LCM(5804,5809) = 22×371×1571×14511
LCM(5804,5809) = 33715436

Factors of 5804

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

1, 2, 4, 1451, 2902, 5804

Factors of 5809

List of positive integer factors of 5809 that divides 5809 without a remainder.

1, 37, 157, 5809

Least Common Multiple of 5804 and 5809 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 5809, than apply into the LCM equation.

GCF(5804,5809) = 1
LCM(5804,5809) = ( 5804 × 5809) / 1
LCM(5804,5809) = 33715436 / 1
LCM(5804,5809) = 33715436

Properties of LCM 5804 and 5809

(i) The LCM of 5809 and 5804 is associative

LCM of 5804 and 5809 = LCM of 5809 and 5804

Related Least Common Multiples of 5804

Related Least Common Multiples of 5809

Frequently Asked Questions on LCM of 5804 and 5809

1. What is the LCM of 5804 and 5809?

Answer: LCM of 5804 and 5809 is 33715436.

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 5809?

Answer: Factors of 5809 are 1, 37, 157, 5809. There are 4 integers that are factors of 5809. The greatest factor of 5809 is 5809.

4. How to Find the LCM of 5804 and 5809?

Answer:

Least Common Multiple of 5804 and 5809 = 33715436

Step 1: Find the prime factorization of 5804

5804 = 2 x 2 x 1451

Step 2: Find the prime factorization of 5809

5809 = 37 x 157

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

LCM = 33715436 = 2 x 2 x 37 x 157 x 1451

Step 4: Therefore, the least common multiple of 5804 and 5809 is 33715436.