Least Common Multiple of 6801 and 6806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6801 and 6806 the smallest integer that is 46287606 that is divisible by both numbers.

Least Common Multiple (LCM) of 6801 and 6806 is 46287606.

LCM(6801,6806) = 46287606

LCM of 6801 and 6806

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

LCM of:
and

Least Common Multiple of 6801 and 6806

LCM of 6801 and 6806 is 46287606

Least common multiple can be found by multiplying the highest exponent prime factors of 6801 and 6806. First we will calculate the prime factors of 6801 and 6806.

Prime Factorization of 6801


3 6801
2267 2267
1

Prime factors of 6801 are 3,2267. Prime factorization of 6801 in exponential form is:

6801 = 31×22671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6801 and 6806.

LCM(6801,6806) = 21×31×411×831×22671
LCM(6801,6806) = 46287606

Factors of 6801

List of positive integer factors of 6801 that divides 6801 without a remainder.

1, 3, 2267, 6801

Factors of 6806

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

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

Least Common Multiple of 6801 and 6806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6801 and 6806, than apply into the LCM equation.

GCF(6801,6806) = 1
LCM(6801,6806) = ( 6801 × 6806) / 1
LCM(6801,6806) = 46287606 / 1
LCM(6801,6806) = 46287606

Properties of LCM 6801 and 6806

(i) The LCM of 6806 and 6801 is associative

LCM of 6801 and 6806 = LCM of 6806 and 6801

Related Least Common Multiples of 6801

Related Least Common Multiples of 6806

Frequently Asked Questions on LCM of 6801 and 6806

1. What is the LCM of 6801 and 6806?

Answer: LCM of 6801 and 6806 is 46287606.

2. What are the Factors of 6801?

Answer: Factors of 6801 are 1, 3, 2267, 6801. There are 4 integers that are factors of 6801. The greatest factor of 6801 is 6801.

3. 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.

4. How to Find the LCM of 6801 and 6806?

Answer:

Least Common Multiple of 6801 and 6806 = 46287606

Step 1: Find the prime factorization of 6801

6801 = 3 x 2267

Step 2: Find the prime factorization of 6806

6806 = 2 x 41 x 83

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

LCM = 46287606 = 2 x 3 x 41 x 83 x 2267

Step 4: Therefore, the least common multiple of 6801 and 6806 is 46287606.