Least Common Multiple of 5839 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 5839 and 5843 the smallest integer that is 34117277 that is divisible by both numbers.

Least Common Multiple (LCM) of 5839 and 5843 is 34117277.

LCM(5839,5843) = 34117277

LCM of 5839 and 5843

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

LCM of:
and

Least Common Multiple of 5839 and 5843

LCM of 5839 and 5843 is 34117277

Least common multiple can be found by multiplying the highest exponent prime factors of 5839 and 5843. First we will calculate the prime factors of 5839 and 5843.

Prime Factorization of 5839


5839 5839
1

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

5839 = 58391

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 5839 and 5843.

LCM(5839,5843) = 58391×58431
LCM(5839,5843) = 34117277

Factors of 5839

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

1, 5839

Factors of 5843

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

1, 5843

Least Common Multiple of 5839 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 5839 and 5843, than apply into the LCM equation.

GCF(5839,5843) = 1
LCM(5839,5843) = ( 5839 × 5843) / 1
LCM(5839,5843) = 34117277 / 1
LCM(5839,5843) = 34117277

Properties of LCM 5839 and 5843

(i) The LCM of 5843 and 5839 is associative

LCM of 5839 and 5843 = LCM of 5843 and 5839

Related Least Common Multiples of 5839

Related Least Common Multiples of 5843

Frequently Asked Questions on LCM of 5839 and 5843

1. What is the LCM of 5839 and 5843?

Answer: LCM of 5839 and 5843 is 34117277.

2. 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.

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 5839 and 5843?

Answer:

Least Common Multiple of 5839 and 5843 = 34117277

Step 1: Find the prime factorization of 5839

5839 = 5839

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 = 34117277 = 5839 x 5843

Step 4: Therefore, the least common multiple of 5839 and 5843 is 34117277.