Least Common Multiple of 5809 and 5813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5809 and 5813 the smallest integer that is 33767717 that is divisible by both numbers.

Least Common Multiple (LCM) of 5809 and 5813 is 33767717.

LCM(5809,5813) = 33767717

LCM of 5809 and 5813

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

LCM of:
and

Least Common Multiple of 5809 and 5813

LCM of 5809 and 5813 is 33767717

Least common multiple can be found by multiplying the highest exponent prime factors of 5809 and 5813. First we will calculate the prime factors of 5809 and 5813.

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

Prime Factorization of 5813


5813 5813
1

Prime factors of 5813 are 5813. Prime factorization of 5813 in exponential form is:

5813 = 58131

Now multiplying the highest exponent prime factors to calculate the LCM of 5809 and 5813.

LCM(5809,5813) = 371×1571×58131
LCM(5809,5813) = 33767717

Factors of 5809

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

1, 37, 157, 5809

Factors of 5813

List of positive integer factors of 5813 that divides 5813 without a remainder.

1, 5813

Least Common Multiple of 5809 and 5813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5809 and 5813, than apply into the LCM equation.

GCF(5809,5813) = 1
LCM(5809,5813) = ( 5809 × 5813) / 1
LCM(5809,5813) = 33767717 / 1
LCM(5809,5813) = 33767717

Properties of LCM 5809 and 5813

(i) The LCM of 5813 and 5809 is associative

LCM of 5809 and 5813 = LCM of 5813 and 5809

Related Least Common Multiples of 5809

Related Least Common Multiples of 5813

Frequently Asked Questions on LCM of 5809 and 5813

1. What is the LCM of 5809 and 5813?

Answer: LCM of 5809 and 5813 is 33767717.

2. 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.

3. What are the Factors of 5813?

Answer: Factors of 5813 are 1, 5813. There are 2 integers that are factors of 5813. The greatest factor of 5813 is 5813.

4. How to Find the LCM of 5809 and 5813?

Answer:

Least Common Multiple of 5809 and 5813 = 33767717

Step 1: Find the prime factorization of 5809

5809 = 37 x 157

Step 2: Find the prime factorization of 5813

5813 = 5813

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

LCM = 33767717 = 37 x 157 x 5813

Step 4: Therefore, the least common multiple of 5809 and 5813 is 33767717.