Least Common Multiple of 5831 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 5831 and 5839 the smallest integer that is 34047209 that is divisible by both numbers.

Least Common Multiple (LCM) of 5831 and 5839 is 34047209.

LCM(5831,5839) = 34047209

LCM of 5831 and 5839

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

LCM of:
and

Least Common Multiple of 5831 and 5839

LCM of 5831 and 5839 is 34047209

Least common multiple can be found by multiplying the highest exponent prime factors of 5831 and 5839. First we will calculate the prime factors of 5831 and 5839.

Prime Factorization of 5831


7 5831
7 833
7 119
17 17
1

Prime factors of 5831 are 7,17. Prime factorization of 5831 in exponential form is:

5831 = 73×171

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 5831 and 5839.

LCM(5831,5839) = 73×171×58391
LCM(5831,5839) = 34047209

Factors of 5831

List of positive integer factors of 5831 that divides 5831 without a remainder.

1, 7, 17, 49, 119, 343, 833, 5831

Factors of 5839

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

1, 5839

Least Common Multiple of 5831 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 5831 and 5839, than apply into the LCM equation.

GCF(5831,5839) = 1
LCM(5831,5839) = ( 5831 × 5839) / 1
LCM(5831,5839) = 34047209 / 1
LCM(5831,5839) = 34047209

Properties of LCM 5831 and 5839

(i) The LCM of 5839 and 5831 is associative

LCM of 5831 and 5839 = LCM of 5839 and 5831

Related Least Common Multiples of 5831

Related Least Common Multiples of 5839

Frequently Asked Questions on LCM of 5831 and 5839

1. What is the LCM of 5831 and 5839?

Answer: LCM of 5831 and 5839 is 34047209.

2. What are the Factors of 5831?

Answer: Factors of 5831 are 1, 7, 17, 49, 119, 343, 833, 5831. There are 8 integers that are factors of 5831. The greatest factor of 5831 is 5831.

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 5831 and 5839?

Answer:

Least Common Multiple of 5831 and 5839 = 34047209

Step 1: Find the prime factorization of 5831

5831 = 7 x 7 x 7 x 17

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 = 34047209 = 7 x 7 x 7 x 17 x 5839

Step 4: Therefore, the least common multiple of 5831 and 5839 is 34047209.