Least Common Multiple of 6836 and 6842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6836 and 6842 the smallest integer that is 23385956 that is divisible by both numbers.

Least Common Multiple (LCM) of 6836 and 6842 is 23385956.

LCM(6836,6842) = 23385956

LCM of 6836 and 6842

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

LCM of:
and

Least Common Multiple of 6836 and 6842

LCM of 6836 and 6842 is 23385956

Least common multiple can be found by multiplying the highest exponent prime factors of 6836 and 6842. First we will calculate the prime factors of 6836 and 6842.

Prime Factorization of 6836


2 6836
2 3418
1709 1709
1

Prime factors of 6836 are 2,1709. Prime factorization of 6836 in exponential form is:

6836 = 22×17091

Prime Factorization of 6842


2 6842
11 3421
311 311
1

Prime factors of 6842 are 2, 11,311. Prime factorization of 6842 in exponential form is:

6842 = 21×111×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 6836 and 6842.

LCM(6836,6842) = 22×111×3111×17091
LCM(6836,6842) = 23385956

Factors of 6836

List of positive integer factors of 6836 that divides 6836 without a remainder.

1, 2, 4, 1709, 3418, 6836

Factors of 6842

List of positive integer factors of 6842 that divides 6842 without a remainder.

1, 2, 11, 22, 311, 622, 3421, 6842

Least Common Multiple of 6836 and 6842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6836 and 6842, than apply into the LCM equation.

GCF(6836,6842) = 2
LCM(6836,6842) = ( 6836 × 6842) / 2
LCM(6836,6842) = 46771912 / 2
LCM(6836,6842) = 23385956

Properties of LCM 6836 and 6842

(i) The LCM of 6842 and 6836 is associative

LCM of 6836 and 6842 = LCM of 6842 and 6836

Related Least Common Multiples of 6836

Related Least Common Multiples of 6842

Frequently Asked Questions on LCM of 6836 and 6842

1. What is the LCM of 6836 and 6842?

Answer: LCM of 6836 and 6842 is 23385956.

2. What are the Factors of 6836?

Answer: Factors of 6836 are 1, 2, 4, 1709, 3418, 6836. There are 6 integers that are factors of 6836. The greatest factor of 6836 is 6836.

3. What are the Factors of 6842?

Answer: Factors of 6842 are 1, 2, 11, 22, 311, 622, 3421, 6842. There are 8 integers that are factors of 6842. The greatest factor of 6842 is 6842.

4. How to Find the LCM of 6836 and 6842?

Answer:

Least Common Multiple of 6836 and 6842 = 23385956

Step 1: Find the prime factorization of 6836

6836 = 2 x 2 x 1709

Step 2: Find the prime factorization of 6842

6842 = 2 x 11 x 311

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

LCM = 23385956 = 2 x 2 x 11 x 311 x 1709

Step 4: Therefore, the least common multiple of 6836 and 6842 is 23385956.