Least Common Multiple of 5837 and 5843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5837 and 5843 the smallest integer that is 34105591 that is divisible by both numbers.

Least Common Multiple (LCM) of 5837 and 5843 is 34105591.

LCM(5837,5843) = 34105591

LCM of 5837 and 5843

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

LCM of:
and

Least Common Multiple of 5837 and 5843

LCM of 5837 and 5843 is 34105591

Least common multiple can be found by multiplying the highest exponent prime factors of 5837 and 5843. First we will calculate the prime factors of 5837 and 5843.

Prime Factorization of 5837


13 5837
449 449
1

Prime factors of 5837 are 13,449. Prime factorization of 5837 in exponential form is:

5837 = 131×4491

Prime Factorization of 5843


5843 5843
1

Prime factors of 5843 are 5843. Prime factorization of 5843 in exponential form is:

5843 = 58431

Now multiplying the highest exponent prime factors to calculate the LCM of 5837 and 5843.

LCM(5837,5843) = 131×4491×58431
LCM(5837,5843) = 34105591

Factors of 5837

List of positive integer factors of 5837 that divides 5837 without a remainder.

1, 13, 449, 5837

Factors of 5843

List of positive integer factors of 5843 that divides 5843 without a remainder.

1, 5843

Least Common Multiple of 5837 and 5843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5837 and 5843, than apply into the LCM equation.

GCF(5837,5843) = 1
LCM(5837,5843) = ( 5837 × 5843) / 1
LCM(5837,5843) = 34105591 / 1
LCM(5837,5843) = 34105591

Properties of LCM 5837 and 5843

(i) The LCM of 5843 and 5837 is associative

LCM of 5837 and 5843 = LCM of 5843 and 5837

Related Least Common Multiples of 5837

Related Least Common Multiples of 5843

Frequently Asked Questions on LCM of 5837 and 5843

1. What is the LCM of 5837 and 5843?

Answer: LCM of 5837 and 5843 is 34105591.

2. What are the Factors of 5837?

Answer: Factors of 5837 are 1, 13, 449, 5837. There are 4 integers that are factors of 5837. The greatest factor of 5837 is 5837.

3. What are the Factors of 5843?

Answer: Factors of 5843 are 1, 5843. There are 2 integers that are factors of 5843. The greatest factor of 5843 is 5843.

4. How to Find the LCM of 5837 and 5843?

Answer:

Least Common Multiple of 5837 and 5843 = 34105591

Step 1: Find the prime factorization of 5837

5837 = 13 x 449

Step 2: Find the prime factorization of 5843

5843 = 5843

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

LCM = 34105591 = 13 x 449 x 5843

Step 4: Therefore, the least common multiple of 5837 and 5843 is 34105591.