Least Common Multiple of 5830 and 5838

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 5838 the smallest integer that is 17017770 that is divisible by both numbers.

Least Common Multiple (LCM) of 5830 and 5838 is 17017770.

LCM(5830,5838) = 17017770

LCM of 5830 and 5838

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

LCM of:
and

Least Common Multiple of 5830 and 5838

LCM of 5830 and 5838 is 17017770

Least common multiple can be found by multiplying the highest exponent prime factors of 5830 and 5838. First we will calculate the prime factors of 5830 and 5838.

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 5838


2 5838
3 2919
7 973
139 139
1

Prime factors of 5838 are 2, 3, 7,139. Prime factorization of 5838 in exponential form is:

5838 = 21×31×71×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 5830 and 5838.

LCM(5830,5838) = 21×31×51×71×111×531×1391
LCM(5830,5838) = 17017770

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 5838

List of positive integer factors of 5838 that divides 5838 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838

Least Common Multiple of 5830 and 5838 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 5838, than apply into the LCM equation.

GCF(5830,5838) = 2
LCM(5830,5838) = ( 5830 × 5838) / 2
LCM(5830,5838) = 34035540 / 2
LCM(5830,5838) = 17017770

Properties of LCM 5830 and 5838

(i) The LCM of 5838 and 5830 is associative

LCM of 5830 and 5838 = LCM of 5838 and 5830

Related Least Common Multiples of 5830

Related Least Common Multiples of 5838

Frequently Asked Questions on LCM of 5830 and 5838

1. What is the LCM of 5830 and 5838?

Answer: LCM of 5830 and 5838 is 17017770.

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 5838?

Answer: Factors of 5838 are 1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838. There are 16 integers that are factors of 5838. The greatest factor of 5838 is 5838.

4. How to Find the LCM of 5830 and 5838?

Answer:

Least Common Multiple of 5830 and 5838 = 17017770

Step 1: Find the prime factorization of 5830

5830 = 2 x 5 x 11 x 53

Step 2: Find the prime factorization of 5838

5838 = 2 x 3 x 7 x 139

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

LCM = 17017770 = 2 x 3 x 5 x 7 x 11 x 53 x 139

Step 4: Therefore, the least common multiple of 5830 and 5838 is 17017770.