Least Common Multiple of 5830 and 5836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5830 and 5836 the smallest integer that is 17011940 that is divisible by both numbers.

Least Common Multiple (LCM) of 5830 and 5836 is 17011940.

LCM(5830,5836) = 17011940

LCM of 5830 and 5836

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

LCM of:
and

Least Common Multiple of 5830 and 5836

LCM of 5830 and 5836 is 17011940

Least common multiple can be found by multiplying the highest exponent prime factors of 5830 and 5836. First we will calculate the prime factors of 5830 and 5836.

Prime Factorization of 5830


2 5830
5 2915
11 583
53 53
1

Prime factors of 5830 are 2, 5, 11,53. Prime factorization of 5830 in exponential form is:

5830 = 21×51×111×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5830 and 5836.

LCM(5830,5836) = 22×51×111×531×14591
LCM(5830,5836) = 17011940

Factors of 5830

List of positive integer factors of 5830 that divides 5830 without a remainder.

1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830

Factors of 5836

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

1, 2, 4, 1459, 2918, 5836

Least Common Multiple of 5830 and 5836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5830 and 5836, than apply into the LCM equation.

GCF(5830,5836) = 2
LCM(5830,5836) = ( 5830 × 5836) / 2
LCM(5830,5836) = 34023880 / 2
LCM(5830,5836) = 17011940

Properties of LCM 5830 and 5836

(i) The LCM of 5836 and 5830 is associative

LCM of 5830 and 5836 = LCM of 5836 and 5830

Related Least Common Multiples of 5830

Related Least Common Multiples of 5836

Frequently Asked Questions on LCM of 5830 and 5836

1. What is the LCM of 5830 and 5836?

Answer: LCM of 5830 and 5836 is 17011940.

2. What are the Factors of 5830?

Answer: Factors of 5830 are 1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830. There are 16 integers that are factors of 5830. The greatest factor of 5830 is 5830.

3. 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.

4. How to Find the LCM of 5830 and 5836?

Answer:

Least Common Multiple of 5830 and 5836 = 17011940

Step 1: Find the prime factorization of 5830

5830 = 2 x 5 x 11 x 53

Step 2: Find the prime factorization of 5836

5836 = 2 x 2 x 1459

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

LCM = 17011940 = 2 x 2 x 5 x 11 x 53 x 1459

Step 4: Therefore, the least common multiple of 5830 and 5836 is 17011940.