Least Common Multiple of 5834 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 5834 and 5841 the smallest integer that is 34076394 that is divisible by both numbers.

Least Common Multiple (LCM) of 5834 and 5841 is 34076394.

LCM(5834,5841) = 34076394

LCM of 5834 and 5841

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

LCM of:
and

Least Common Multiple of 5834 and 5841

LCM of 5834 and 5841 is 34076394

Least common multiple can be found by multiplying the highest exponent prime factors of 5834 and 5841. First we will calculate the prime factors of 5834 and 5841.

Prime Factorization of 5834


2 5834
2917 2917
1

Prime factors of 5834 are 2,2917. Prime factorization of 5834 in exponential form is:

5834 = 21×29171

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 5834 and 5841.

LCM(5834,5841) = 21×32×111×591×29171
LCM(5834,5841) = 34076394

Factors of 5834

List of positive integer factors of 5834 that divides 5834 without a remainder.

1, 2, 2917, 5834

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 5834 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 5834 and 5841, than apply into the LCM equation.

GCF(5834,5841) = 1
LCM(5834,5841) = ( 5834 × 5841) / 1
LCM(5834,5841) = 34076394 / 1
LCM(5834,5841) = 34076394

Properties of LCM 5834 and 5841

(i) The LCM of 5841 and 5834 is associative

LCM of 5834 and 5841 = LCM of 5841 and 5834

Related Least Common Multiples of 5834

Related Least Common Multiples of 5841

Frequently Asked Questions on LCM of 5834 and 5841

1. What is the LCM of 5834 and 5841?

Answer: LCM of 5834 and 5841 is 34076394.

2. What are the Factors of 5834?

Answer: Factors of 5834 are 1, 2, 2917, 5834. There are 4 integers that are factors of 5834. The greatest factor of 5834 is 5834.

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 5834 and 5841?

Answer:

Least Common Multiple of 5834 and 5841 = 34076394

Step 1: Find the prime factorization of 5834

5834 = 2 x 2917

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 = 34076394 = 2 x 3 x 3 x 11 x 59 x 2917

Step 4: Therefore, the least common multiple of 5834 and 5841 is 34076394.