Least Common Multiple of 6831 and 6833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6831 and 6833 the smallest integer that is 46676223 that is divisible by both numbers.

Least Common Multiple (LCM) of 6831 and 6833 is 46676223.

LCM(6831,6833) = 46676223

LCM of 6831 and 6833

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

LCM of:
and

Least Common Multiple of 6831 and 6833

LCM of 6831 and 6833 is 46676223

Least common multiple can be found by multiplying the highest exponent prime factors of 6831 and 6833. First we will calculate the prime factors of 6831 and 6833.

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

Prime Factorization of 6833


6833 6833
1

Prime factors of 6833 are 6833. Prime factorization of 6833 in exponential form is:

6833 = 68331

Now multiplying the highest exponent prime factors to calculate the LCM of 6831 and 6833.

LCM(6831,6833) = 33×111×231×68331
LCM(6831,6833) = 46676223

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

Factors of 6833

List of positive integer factors of 6833 that divides 6833 without a remainder.

1, 6833

Least Common Multiple of 6831 and 6833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6831 and 6833, than apply into the LCM equation.

GCF(6831,6833) = 1
LCM(6831,6833) = ( 6831 × 6833) / 1
LCM(6831,6833) = 46676223 / 1
LCM(6831,6833) = 46676223

Properties of LCM 6831 and 6833

(i) The LCM of 6833 and 6831 is associative

LCM of 6831 and 6833 = LCM of 6833 and 6831

Related Least Common Multiples of 6831

Related Least Common Multiples of 6833

Frequently Asked Questions on LCM of 6831 and 6833

1. What is the LCM of 6831 and 6833?

Answer: LCM of 6831 and 6833 is 46676223.

2. 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.

3. What are the Factors of 6833?

Answer: Factors of 6833 are 1, 6833. There are 2 integers that are factors of 6833. The greatest factor of 6833 is 6833.

4. How to Find the LCM of 6831 and 6833?

Answer:

Least Common Multiple of 6831 and 6833 = 46676223

Step 1: Find the prime factorization of 6831

6831 = 3 x 3 x 3 x 11 x 23

Step 2: Find the prime factorization of 6833

6833 = 6833

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

LCM = 46676223 = 3 x 3 x 3 x 11 x 23 x 6833

Step 4: Therefore, the least common multiple of 6831 and 6833 is 46676223.