Least Common Multiple of 5830 and 5834

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 5834 the smallest integer that is 17006110 that is divisible by both numbers.

Least Common Multiple (LCM) of 5830 and 5834 is 17006110.

LCM(5830,5834) = 17006110

LCM of 5830 and 5834

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

LCM of:
and

Least Common Multiple of 5830 and 5834

LCM of 5830 and 5834 is 17006110

Least common multiple can be found by multiplying the highest exponent prime factors of 5830 and 5834. First we will calculate the prime factors of 5830 and 5834.

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 5834


2 5834
2917 2917
1

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

5834 = 21×29171

Now multiplying the highest exponent prime factors to calculate the LCM of 5830 and 5834.

LCM(5830,5834) = 21×51×111×531×29171
LCM(5830,5834) = 17006110

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 5834

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

1, 2, 2917, 5834

Least Common Multiple of 5830 and 5834 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 5834, than apply into the LCM equation.

GCF(5830,5834) = 2
LCM(5830,5834) = ( 5830 × 5834) / 2
LCM(5830,5834) = 34012220 / 2
LCM(5830,5834) = 17006110

Properties of LCM 5830 and 5834

(i) The LCM of 5834 and 5830 is associative

LCM of 5830 and 5834 = LCM of 5834 and 5830

Related Least Common Multiples of 5830

Related Least Common Multiples of 5834

Frequently Asked Questions on LCM of 5830 and 5834

1. What is the LCM of 5830 and 5834?

Answer: LCM of 5830 and 5834 is 17006110.

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 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.

4. How to Find the LCM of 5830 and 5834?

Answer:

Least Common Multiple of 5830 and 5834 = 17006110

Step 1: Find the prime factorization of 5830

5830 = 2 x 5 x 11 x 53

Step 2: Find the prime factorization of 5834

5834 = 2 x 2917

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

LCM = 17006110 = 2 x 5 x 11 x 53 x 2917

Step 4: Therefore, the least common multiple of 5830 and 5834 is 17006110.