Least Common Multiple of 6804 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 6804 and 6810 the smallest integer that is 7722540 that is divisible by both numbers.

Least Common Multiple (LCM) of 6804 and 6810 is 7722540.

LCM(6804,6810) = 7722540

LCM of 6804 and 6810

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

LCM of:
and

Least Common Multiple of 6804 and 6810

LCM of 6804 and 6810 is 7722540

Least common multiple can be found by multiplying the highest exponent prime factors of 6804 and 6810. First we will calculate the prime factors of 6804 and 6810.

Prime Factorization of 6804


2 6804
2 3402
3 1701
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 6804 are 2, 3,7. Prime factorization of 6804 in exponential form is:

6804 = 22×35×71

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 6804 and 6810.

LCM(6804,6810) = 22×35×51×71×2271
LCM(6804,6810) = 7722540

Factors of 6804

List of positive integer factors of 6804 that divides 6804 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402, 6804

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 6804 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 6804 and 6810, than apply into the LCM equation.

GCF(6804,6810) = 6
LCM(6804,6810) = ( 6804 × 6810) / 6
LCM(6804,6810) = 46335240 / 6
LCM(6804,6810) = 7722540

Properties of LCM 6804 and 6810

(i) The LCM of 6810 and 6804 is associative

LCM of 6804 and 6810 = LCM of 6810 and 6804

Related Least Common Multiples of 6804

Related Least Common Multiples of 6810

Frequently Asked Questions on LCM of 6804 and 6810

1. What is the LCM of 6804 and 6810?

Answer: LCM of 6804 and 6810 is 7722540.

2. What are the Factors of 6804?

Answer: Factors of 6804 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402, 6804. There are 36 integers that are factors of 6804. The greatest factor of 6804 is 6804.

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 6804 and 6810?

Answer:

Least Common Multiple of 6804 and 6810 = 7722540

Step 1: Find the prime factorization of 6804

6804 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7

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 = 7722540 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 227

Step 4: Therefore, the least common multiple of 6804 and 6810 is 7722540.