Least Common Multiple of 5837 and 5841

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 5841 the smallest integer that is 34093917 that is divisible by both numbers.

Least Common Multiple (LCM) of 5837 and 5841 is 34093917.

LCM(5837,5841) = 34093917

LCM of 5837 and 5841

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

LCM of:
and

Least Common Multiple of 5837 and 5841

LCM of 5837 and 5841 is 34093917

Least common multiple can be found by multiplying the highest exponent prime factors of 5837 and 5841. First we will calculate the prime factors of 5837 and 5841.

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 5841


3 5841
3 1947
11 649
59 59
1

Prime factors of 5841 are 3, 11,59. Prime factorization of 5841 in exponential form is:

5841 = 32×111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5837 and 5841.

LCM(5837,5841) = 32×111×131×591×4491
LCM(5837,5841) = 34093917

Factors of 5837

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

1, 13, 449, 5837

Factors of 5841

List of positive integer factors of 5841 that divides 5841 without a remainder.

1, 3, 9, 11, 33, 59, 99, 177, 531, 649, 1947, 5841

Least Common Multiple of 5837 and 5841 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 5841, than apply into the LCM equation.

GCF(5837,5841) = 1
LCM(5837,5841) = ( 5837 × 5841) / 1
LCM(5837,5841) = 34093917 / 1
LCM(5837,5841) = 34093917

Properties of LCM 5837 and 5841

(i) The LCM of 5841 and 5837 is associative

LCM of 5837 and 5841 = LCM of 5841 and 5837

Related Least Common Multiples of 5837

Related Least Common Multiples of 5841

Frequently Asked Questions on LCM of 5837 and 5841

1. What is the LCM of 5837 and 5841?

Answer: LCM of 5837 and 5841 is 34093917.

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 5841?

Answer: Factors of 5841 are 1, 3, 9, 11, 33, 59, 99, 177, 531, 649, 1947, 5841. There are 12 integers that are factors of 5841. The greatest factor of 5841 is 5841.

4. How to Find the LCM of 5837 and 5841?

Answer:

Least Common Multiple of 5837 and 5841 = 34093917

Step 1: Find the prime factorization of 5837

5837 = 13 x 449

Step 2: Find the prime factorization of 5841

5841 = 3 x 3 x 11 x 59

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

LCM = 34093917 = 3 x 3 x 11 x 13 x 59 x 449

Step 4: Therefore, the least common multiple of 5837 and 5841 is 34093917.