Least Common Multiple of 6830 and 6831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6830 and 6831 the smallest integer that is 46655730 that is divisible by both numbers.

Least Common Multiple (LCM) of 6830 and 6831 is 46655730.

LCM(6830,6831) = 46655730

LCM of 6830 and 6831

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

LCM of:
and

Least Common Multiple of 6830 and 6831

LCM of 6830 and 6831 is 46655730

Least common multiple can be found by multiplying the highest exponent prime factors of 6830 and 6831. First we will calculate the prime factors of 6830 and 6831.

Prime Factorization of 6830


2 6830
5 3415
683 683
1

Prime factors of 6830 are 2, 5,683. Prime factorization of 6830 in exponential form is:

6830 = 21×51×6831

Prime Factorization of 6831


3 6831
3 2277
3 759
11 253
23 23
1

Prime factors of 6831 are 3, 11,23. Prime factorization of 6831 in exponential form is:

6831 = 33×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6830 and 6831.

LCM(6830,6831) = 21×33×51×111×231×6831
LCM(6830,6831) = 46655730

Factors of 6830

List of positive integer factors of 6830 that divides 6830 without a remainder.

1, 2, 5, 10, 683, 1366, 3415, 6830

Factors of 6831

List of positive integer factors of 6831 that divides 6831 without a remainder.

1, 3, 9, 11, 23, 27, 33, 69, 99, 207, 253, 297, 621, 759, 2277, 6831

Least Common Multiple of 6830 and 6831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6830 and 6831, than apply into the LCM equation.

GCF(6830,6831) = 1
LCM(6830,6831) = ( 6830 × 6831) / 1
LCM(6830,6831) = 46655730 / 1
LCM(6830,6831) = 46655730

Properties of LCM 6830 and 6831

(i) The LCM of 6831 and 6830 is associative

LCM of 6830 and 6831 = LCM of 6831 and 6830

Related Least Common Multiples of 6830

Related Least Common Multiples of 6831

Frequently Asked Questions on LCM of 6830 and 6831

1. What is the LCM of 6830 and 6831?

Answer: LCM of 6830 and 6831 is 46655730.

2. What are the Factors of 6830?

Answer: Factors of 6830 are 1, 2, 5, 10, 683, 1366, 3415, 6830. There are 8 integers that are factors of 6830. The greatest factor of 6830 is 6830.

3. What are the Factors of 6831?

Answer: Factors of 6831 are 1, 3, 9, 11, 23, 27, 33, 69, 99, 207, 253, 297, 621, 759, 2277, 6831. There are 16 integers that are factors of 6831. The greatest factor of 6831 is 6831.

4. How to Find the LCM of 6830 and 6831?

Answer:

Least Common Multiple of 6830 and 6831 = 46655730

Step 1: Find the prime factorization of 6830

6830 = 2 x 5 x 683

Step 2: Find the prime factorization of 6831

6831 = 3 x 3 x 3 x 11 x 23

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

LCM = 46655730 = 2 x 3 x 3 x 3 x 5 x 11 x 23 x 683

Step 4: Therefore, the least common multiple of 6830 and 6831 is 46655730.