Least Common Multiple of 6806 and 6812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6806 and 6812 the smallest integer that is 23181236 that is divisible by both numbers.

Least Common Multiple (LCM) of 6806 and 6812 is 23181236.

LCM(6806,6812) = 23181236

LCM of 6806 and 6812

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

LCM of:
and

Least Common Multiple of 6806 and 6812

LCM of 6806 and 6812 is 23181236

Least common multiple can be found by multiplying the highest exponent prime factors of 6806 and 6812. First we will calculate the prime factors of 6806 and 6812.

Prime Factorization of 6806


2 6806
41 3403
83 83
1

Prime factors of 6806 are 2, 41,83. Prime factorization of 6806 in exponential form is:

6806 = 21×411×831

Prime Factorization of 6812


2 6812
2 3406
13 1703
131 131
1

Prime factors of 6812 are 2, 13,131. Prime factorization of 6812 in exponential form is:

6812 = 22×131×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6806 and 6812.

LCM(6806,6812) = 22×131×411×831×1311
LCM(6806,6812) = 23181236

Factors of 6806

List of positive integer factors of 6806 that divides 6806 without a remainder.

1, 2, 41, 82, 83, 166, 3403, 6806

Factors of 6812

List of positive integer factors of 6812 that divides 6812 without a remainder.

1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812

Least Common Multiple of 6806 and 6812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6806 and 6812, than apply into the LCM equation.

GCF(6806,6812) = 2
LCM(6806,6812) = ( 6806 × 6812) / 2
LCM(6806,6812) = 46362472 / 2
LCM(6806,6812) = 23181236

Properties of LCM 6806 and 6812

(i) The LCM of 6812 and 6806 is associative

LCM of 6806 and 6812 = LCM of 6812 and 6806

Related Least Common Multiples of 6806

Related Least Common Multiples of 6812

Frequently Asked Questions on LCM of 6806 and 6812

1. What is the LCM of 6806 and 6812?

Answer: LCM of 6806 and 6812 is 23181236.

2. What are the Factors of 6806?

Answer: Factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806. There are 8 integers that are factors of 6806. The greatest factor of 6806 is 6806.

3. What are the Factors of 6812?

Answer: Factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812. There are 12 integers that are factors of 6812. The greatest factor of 6812 is 6812.

4. How to Find the LCM of 6806 and 6812?

Answer:

Least Common Multiple of 6806 and 6812 = 23181236

Step 1: Find the prime factorization of 6806

6806 = 2 x 41 x 83

Step 2: Find the prime factorization of 6812

6812 = 2 x 2 x 13 x 131

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

LCM = 23181236 = 2 x 2 x 13 x 41 x 83 x 131

Step 4: Therefore, the least common multiple of 6806 and 6812 is 23181236.