Least Common Multiple of 6827 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 6827 and 6831 the smallest integer that is 46635237 that is divisible by both numbers.

Least Common Multiple (LCM) of 6827 and 6831 is 46635237.

LCM(6827,6831) = 46635237

LCM of 6827 and 6831

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

LCM of:
and

Least Common Multiple of 6827 and 6831

LCM of 6827 and 6831 is 46635237

Least common multiple can be found by multiplying the highest exponent prime factors of 6827 and 6831. First we will calculate the prime factors of 6827 and 6831.

Prime Factorization of 6827


6827 6827
1

Prime factors of 6827 are 6827. Prime factorization of 6827 in exponential form is:

6827 = 68271

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 6827 and 6831.

LCM(6827,6831) = 33×111×231×68271
LCM(6827,6831) = 46635237

Factors of 6827

List of positive integer factors of 6827 that divides 6827 without a remainder.

1, 6827

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 6827 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 6827 and 6831, than apply into the LCM equation.

GCF(6827,6831) = 1
LCM(6827,6831) = ( 6827 × 6831) / 1
LCM(6827,6831) = 46635237 / 1
LCM(6827,6831) = 46635237

Properties of LCM 6827 and 6831

(i) The LCM of 6831 and 6827 is associative

LCM of 6827 and 6831 = LCM of 6831 and 6827

Related Least Common Multiples of 6827

Related Least Common Multiples of 6831

Frequently Asked Questions on LCM of 6827 and 6831

1. What is the LCM of 6827 and 6831?

Answer: LCM of 6827 and 6831 is 46635237.

2. What are the Factors of 6827?

Answer: Factors of 6827 are 1, 6827. There are 2 integers that are factors of 6827. The greatest factor of 6827 is 6827.

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 6827 and 6831?

Answer:

Least Common Multiple of 6827 and 6831 = 46635237

Step 1: Find the prime factorization of 6827

6827 = 6827

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 = 46635237 = 3 x 3 x 3 x 11 x 23 x 6827

Step 4: Therefore, the least common multiple of 6827 and 6831 is 46635237.