Least Common Multiple of 5830 and 5835

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 5835 the smallest integer that is 6803610 that is divisible by both numbers.

Least Common Multiple (LCM) of 5830 and 5835 is 6803610.

LCM(5830,5835) = 6803610

LCM of 5830 and 5835

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

LCM of:
and

Least Common Multiple of 5830 and 5835

LCM of 5830 and 5835 is 6803610

Least common multiple can be found by multiplying the highest exponent prime factors of 5830 and 5835. First we will calculate the prime factors of 5830 and 5835.

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 5835


3 5835
5 1945
389 389
1

Prime factors of 5835 are 3, 5,389. Prime factorization of 5835 in exponential form is:

5835 = 31×51×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 5830 and 5835.

LCM(5830,5835) = 21×31×51×111×531×3891
LCM(5830,5835) = 6803610

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 5835

List of positive integer factors of 5835 that divides 5835 without a remainder.

1, 3, 5, 15, 389, 1167, 1945, 5835

Least Common Multiple of 5830 and 5835 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 5835, than apply into the LCM equation.

GCF(5830,5835) = 5
LCM(5830,5835) = ( 5830 × 5835) / 5
LCM(5830,5835) = 34018050 / 5
LCM(5830,5835) = 6803610

Properties of LCM 5830 and 5835

(i) The LCM of 5835 and 5830 is associative

LCM of 5830 and 5835 = LCM of 5835 and 5830

Related Least Common Multiples of 5830

Related Least Common Multiples of 5835

Frequently Asked Questions on LCM of 5830 and 5835

1. What is the LCM of 5830 and 5835?

Answer: LCM of 5830 and 5835 is 6803610.

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 5835?

Answer: Factors of 5835 are 1, 3, 5, 15, 389, 1167, 1945, 5835. There are 8 integers that are factors of 5835. The greatest factor of 5835 is 5835.

4. How to Find the LCM of 5830 and 5835?

Answer:

Least Common Multiple of 5830 and 5835 = 6803610

Step 1: Find the prime factorization of 5830

5830 = 2 x 5 x 11 x 53

Step 2: Find the prime factorization of 5835

5835 = 3 x 5 x 389

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

LCM = 6803610 = 2 x 3 x 5 x 11 x 53 x 389

Step 4: Therefore, the least common multiple of 5830 and 5835 is 6803610.