Least Common Multiple of 5836 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 5836 and 5843 the smallest integer that is 34099748 that is divisible by both numbers.

Least Common Multiple (LCM) of 5836 and 5843 is 34099748.

LCM(5836,5843) = 34099748

LCM of 5836 and 5843

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

LCM of:
and

Least Common Multiple of 5836 and 5843

LCM of 5836 and 5843 is 34099748

Least common multiple can be found by multiplying the highest exponent prime factors of 5836 and 5843. First we will calculate the prime factors of 5836 and 5843.

Prime Factorization of 5836


2 5836
2 2918
1459 1459
1

Prime factors of 5836 are 2,1459. Prime factorization of 5836 in exponential form is:

5836 = 22×14591

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 5836 and 5843.

LCM(5836,5843) = 22×14591×58431
LCM(5836,5843) = 34099748

Factors of 5836

List of positive integer factors of 5836 that divides 5836 without a remainder.

1, 2, 4, 1459, 2918, 5836

Factors of 5843

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

1, 5843

Least Common Multiple of 5836 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 5836 and 5843, than apply into the LCM equation.

GCF(5836,5843) = 1
LCM(5836,5843) = ( 5836 × 5843) / 1
LCM(5836,5843) = 34099748 / 1
LCM(5836,5843) = 34099748

Properties of LCM 5836 and 5843

(i) The LCM of 5843 and 5836 is associative

LCM of 5836 and 5843 = LCM of 5843 and 5836

Related Least Common Multiples of 5836

Related Least Common Multiples of 5843

Frequently Asked Questions on LCM of 5836 and 5843

1. What is the LCM of 5836 and 5843?

Answer: LCM of 5836 and 5843 is 34099748.

2. What are the Factors of 5836?

Answer: Factors of 5836 are 1, 2, 4, 1459, 2918, 5836. There are 6 integers that are factors of 5836. The greatest factor of 5836 is 5836.

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 5836 and 5843?

Answer:

Least Common Multiple of 5836 and 5843 = 34099748

Step 1: Find the prime factorization of 5836

5836 = 2 x 2 x 1459

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 = 34099748 = 2 x 2 x 1459 x 5843

Step 4: Therefore, the least common multiple of 5836 and 5843 is 34099748.