Least Common Multiple of 6810 and 6817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6810 and 6817 the smallest integer that is 46423770 that is divisible by both numbers.

Least Common Multiple (LCM) of 6810 and 6817 is 46423770.

LCM(6810,6817) = 46423770

LCM of 6810 and 6817

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

LCM of:
and

Least Common Multiple of 6810 and 6817

LCM of 6810 and 6817 is 46423770

Least common multiple can be found by multiplying the highest exponent prime factors of 6810 and 6817. First we will calculate the prime factors of 6810 and 6817.

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

Prime Factorization of 6817


17 6817
401 401
1

Prime factors of 6817 are 17,401. Prime factorization of 6817 in exponential form is:

6817 = 171×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 6810 and 6817.

LCM(6810,6817) = 21×31×51×171×2271×4011
LCM(6810,6817) = 46423770

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

Factors of 6817

List of positive integer factors of 6817 that divides 6817 without a remainder.

1, 17, 401, 6817

Least Common Multiple of 6810 and 6817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6810 and 6817, than apply into the LCM equation.

GCF(6810,6817) = 1
LCM(6810,6817) = ( 6810 × 6817) / 1
LCM(6810,6817) = 46423770 / 1
LCM(6810,6817) = 46423770

Properties of LCM 6810 and 6817

(i) The LCM of 6817 and 6810 is associative

LCM of 6810 and 6817 = LCM of 6817 and 6810

Related Least Common Multiples of 6810

Related Least Common Multiples of 6817

Frequently Asked Questions on LCM of 6810 and 6817

1. What is the LCM of 6810 and 6817?

Answer: LCM of 6810 and 6817 is 46423770.

2. 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.

3. What are the Factors of 6817?

Answer: Factors of 6817 are 1, 17, 401, 6817. There are 4 integers that are factors of 6817. The greatest factor of 6817 is 6817.

4. How to Find the LCM of 6810 and 6817?

Answer:

Least Common Multiple of 6810 and 6817 = 46423770

Step 1: Find the prime factorization of 6810

6810 = 2 x 3 x 5 x 227

Step 2: Find the prime factorization of 6817

6817 = 17 x 401

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

LCM = 46423770 = 2 x 3 x 5 x 17 x 227 x 401

Step 4: Therefore, the least common multiple of 6810 and 6817 is 46423770.