Least Common Multiple of 6806 and 6814

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 6814 the smallest integer that is 23188042 that is divisible by both numbers.

Least Common Multiple (LCM) of 6806 and 6814 is 23188042.

LCM(6806,6814) = 23188042

LCM of 6806 and 6814

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

LCM of:
and

Least Common Multiple of 6806 and 6814

LCM of 6806 and 6814 is 23188042

Least common multiple can be found by multiplying the highest exponent prime factors of 6806 and 6814. First we will calculate the prime factors of 6806 and 6814.

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 6814


2 6814
3407 3407
1

Prime factors of 6814 are 2,3407. Prime factorization of 6814 in exponential form is:

6814 = 21×34071

Now multiplying the highest exponent prime factors to calculate the LCM of 6806 and 6814.

LCM(6806,6814) = 21×411×831×34071
LCM(6806,6814) = 23188042

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 6814

List of positive integer factors of 6814 that divides 6814 without a remainder.

1, 2, 3407, 6814

Least Common Multiple of 6806 and 6814 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 6814, than apply into the LCM equation.

GCF(6806,6814) = 2
LCM(6806,6814) = ( 6806 × 6814) / 2
LCM(6806,6814) = 46376084 / 2
LCM(6806,6814) = 23188042

Properties of LCM 6806 and 6814

(i) The LCM of 6814 and 6806 is associative

LCM of 6806 and 6814 = LCM of 6814 and 6806

Related Least Common Multiples of 6806

Related Least Common Multiples of 6814

Frequently Asked Questions on LCM of 6806 and 6814

1. What is the LCM of 6806 and 6814?

Answer: LCM of 6806 and 6814 is 23188042.

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 6814?

Answer: Factors of 6814 are 1, 2, 3407, 6814. There are 4 integers that are factors of 6814. The greatest factor of 6814 is 6814.

4. How to Find the LCM of 6806 and 6814?

Answer:

Least Common Multiple of 6806 and 6814 = 23188042

Step 1: Find the prime factorization of 6806

6806 = 2 x 41 x 83

Step 2: Find the prime factorization of 6814

6814 = 2 x 3407

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

LCM = 23188042 = 2 x 41 x 83 x 3407

Step 4: Therefore, the least common multiple of 6806 and 6814 is 23188042.