Least Common Multiple of 6806 and 6813

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 6813 the smallest integer that is 46369278 that is divisible by both numbers.

Least Common Multiple (LCM) of 6806 and 6813 is 46369278.

LCM(6806,6813) = 46369278

LCM of 6806 and 6813

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

LCM of:
and

Least Common Multiple of 6806 and 6813

LCM of 6806 and 6813 is 46369278

Least common multiple can be found by multiplying the highest exponent prime factors of 6806 and 6813. First we will calculate the prime factors of 6806 and 6813.

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 6813


3 6813
3 2271
757 757
1

Prime factors of 6813 are 3,757. Prime factorization of 6813 in exponential form is:

6813 = 32×7571

Now multiplying the highest exponent prime factors to calculate the LCM of 6806 and 6813.

LCM(6806,6813) = 21×32×411×831×7571
LCM(6806,6813) = 46369278

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 6813

List of positive integer factors of 6813 that divides 6813 without a remainder.

1, 3, 9, 757, 2271, 6813

Least Common Multiple of 6806 and 6813 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 6813, than apply into the LCM equation.

GCF(6806,6813) = 1
LCM(6806,6813) = ( 6806 × 6813) / 1
LCM(6806,6813) = 46369278 / 1
LCM(6806,6813) = 46369278

Properties of LCM 6806 and 6813

(i) The LCM of 6813 and 6806 is associative

LCM of 6806 and 6813 = LCM of 6813 and 6806

Frequently Asked Questions on LCM of 6806 and 6813

1. What is the LCM of 6806 and 6813?

Answer: LCM of 6806 and 6813 is 46369278.

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 6813?

Answer: Factors of 6813 are 1, 3, 9, 757, 2271, 6813. There are 6 integers that are factors of 6813. The greatest factor of 6813 is 6813.

4. How to Find the LCM of 6806 and 6813?

Answer:

Least Common Multiple of 6806 and 6813 = 46369278

Step 1: Find the prime factorization of 6806

6806 = 2 x 41 x 83

Step 2: Find the prime factorization of 6813

6813 = 3 x 3 x 757

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

LCM = 46369278 = 2 x 3 x 3 x 41 x 83 x 757

Step 4: Therefore, the least common multiple of 6806 and 6813 is 46369278.