Least Common Multiple of 6806 and 6810

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 6810 the smallest integer that is 23174430 that is divisible by both numbers.

Least Common Multiple (LCM) of 6806 and 6810 is 23174430.

LCM(6806,6810) = 23174430

LCM of 6806 and 6810

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

LCM of:
and

Least Common Multiple of 6806 and 6810

LCM of 6806 and 6810 is 23174430

Least common multiple can be found by multiplying the highest exponent prime factors of 6806 and 6810. First we will calculate the prime factors of 6806 and 6810.

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 6810


2 6810
3 3405
5 1135
227 227
1

Prime factors of 6810 are 2, 3, 5,227. Prime factorization of 6810 in exponential form is:

6810 = 21×31×51×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 6806 and 6810.

LCM(6806,6810) = 21×31×51×411×831×2271
LCM(6806,6810) = 23174430

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 6810

List of positive integer factors of 6810 that divides 6810 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405, 6810

Least Common Multiple of 6806 and 6810 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 6810, than apply into the LCM equation.

GCF(6806,6810) = 2
LCM(6806,6810) = ( 6806 × 6810) / 2
LCM(6806,6810) = 46348860 / 2
LCM(6806,6810) = 23174430

Properties of LCM 6806 and 6810

(i) The LCM of 6810 and 6806 is associative

LCM of 6806 and 6810 = LCM of 6810 and 6806

Related Least Common Multiples of 6806

Related Least Common Multiples of 6810

Frequently Asked Questions on LCM of 6806 and 6810

1. What is the LCM of 6806 and 6810?

Answer: LCM of 6806 and 6810 is 23174430.

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 6810?

Answer: Factors of 6810 are 1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405, 6810. There are 16 integers that are factors of 6810. The greatest factor of 6810 is 6810.

4. How to Find the LCM of 6806 and 6810?

Answer:

Least Common Multiple of 6806 and 6810 = 23174430

Step 1: Find the prime factorization of 6806

6806 = 2 x 41 x 83

Step 2: Find the prime factorization of 6810

6810 = 2 x 3 x 5 x 227

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

LCM = 23174430 = 2 x 3 x 5 x 41 x 83 x 227

Step 4: Therefore, the least common multiple of 6806 and 6810 is 23174430.