Least Common Multiple of 5801 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 5801 and 5809 the smallest integer that is 33698009 that is divisible by both numbers.

Least Common Multiple (LCM) of 5801 and 5809 is 33698009.

LCM(5801,5809) = 33698009

LCM of 5801 and 5809

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

LCM of:
and

Least Common Multiple of 5801 and 5809

LCM of 5801 and 5809 is 33698009

Least common multiple can be found by multiplying the highest exponent prime factors of 5801 and 5809. First we will calculate the prime factors of 5801 and 5809.

Prime Factorization of 5801


5801 5801
1

Prime factors of 5801 are 5801. Prime factorization of 5801 in exponential form is:

5801 = 58011

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 5801 and 5809.

LCM(5801,5809) = 371×1571×58011
LCM(5801,5809) = 33698009

Factors of 5801

List of positive integer factors of 5801 that divides 5801 without a remainder.

1, 5801

Factors of 5809

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

1, 37, 157, 5809

Least Common Multiple of 5801 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 5801 and 5809, than apply into the LCM equation.

GCF(5801,5809) = 1
LCM(5801,5809) = ( 5801 × 5809) / 1
LCM(5801,5809) = 33698009 / 1
LCM(5801,5809) = 33698009

Properties of LCM 5801 and 5809

(i) The LCM of 5809 and 5801 is associative

LCM of 5801 and 5809 = LCM of 5809 and 5801

Related Least Common Multiples of 5801

Related Least Common Multiples of 5809

Frequently Asked Questions on LCM of 5801 and 5809

1. What is the LCM of 5801 and 5809?

Answer: LCM of 5801 and 5809 is 33698009.

2. What are the Factors of 5801?

Answer: Factors of 5801 are 1, 5801. There are 2 integers that are factors of 5801. The greatest factor of 5801 is 5801.

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 5801 and 5809?

Answer:

Least Common Multiple of 5801 and 5809 = 33698009

Step 1: Find the prime factorization of 5801

5801 = 5801

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 = 33698009 = 37 x 157 x 5801

Step 4: Therefore, the least common multiple of 5801 and 5809 is 33698009.