Least Common Multiple of 5837 and 5839

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 5839 the smallest integer that is 34082243 that is divisible by both numbers.

Least Common Multiple (LCM) of 5837 and 5839 is 34082243.

LCM(5837,5839) = 34082243

LCM of 5837 and 5839

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

LCM of:
and

Least Common Multiple of 5837 and 5839

LCM of 5837 and 5839 is 34082243

Least common multiple can be found by multiplying the highest exponent prime factors of 5837 and 5839. First we will calculate the prime factors of 5837 and 5839.

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 5839


5839 5839
1

Prime factors of 5839 are 5839. Prime factorization of 5839 in exponential form is:

5839 = 58391

Now multiplying the highest exponent prime factors to calculate the LCM of 5837 and 5839.

LCM(5837,5839) = 131×4491×58391
LCM(5837,5839) = 34082243

Factors of 5837

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

1, 13, 449, 5837

Factors of 5839

List of positive integer factors of 5839 that divides 5839 without a remainder.

1, 5839

Least Common Multiple of 5837 and 5839 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 5839, than apply into the LCM equation.

GCF(5837,5839) = 1
LCM(5837,5839) = ( 5837 × 5839) / 1
LCM(5837,5839) = 34082243 / 1
LCM(5837,5839) = 34082243

Properties of LCM 5837 and 5839

(i) The LCM of 5839 and 5837 is associative

LCM of 5837 and 5839 = LCM of 5839 and 5837

Related Least Common Multiples of 5837

Related Least Common Multiples of 5839

Frequently Asked Questions on LCM of 5837 and 5839

1. What is the LCM of 5837 and 5839?

Answer: LCM of 5837 and 5839 is 34082243.

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 5839?

Answer: Factors of 5839 are 1, 5839. There are 2 integers that are factors of 5839. The greatest factor of 5839 is 5839.

4. How to Find the LCM of 5837 and 5839?

Answer:

Least Common Multiple of 5837 and 5839 = 34082243

Step 1: Find the prime factorization of 5837

5837 = 13 x 449

Step 2: Find the prime factorization of 5839

5839 = 5839

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

LCM = 34082243 = 13 x 449 x 5839

Step 4: Therefore, the least common multiple of 5837 and 5839 is 34082243.