Least Common Multiple of 6804 and 6809

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 6809 the smallest integer that is 46328436 that is divisible by both numbers.

Least Common Multiple (LCM) of 6804 and 6809 is 46328436.

LCM(6804,6809) = 46328436

LCM of 6804 and 6809

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

LCM of:
and

Least Common Multiple of 6804 and 6809

LCM of 6804 and 6809 is 46328436

Least common multiple can be found by multiplying the highest exponent prime factors of 6804 and 6809. First we will calculate the prime factors of 6804 and 6809.

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 6809


11 6809
619 619
1

Prime factors of 6809 are 11,619. Prime factorization of 6809 in exponential form is:

6809 = 111×6191

Now multiplying the highest exponent prime factors to calculate the LCM of 6804 and 6809.

LCM(6804,6809) = 22×35×71×111×6191
LCM(6804,6809) = 46328436

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 6809

List of positive integer factors of 6809 that divides 6809 without a remainder.

1, 11, 619, 6809

Least Common Multiple of 6804 and 6809 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 6809, than apply into the LCM equation.

GCF(6804,6809) = 1
LCM(6804,6809) = ( 6804 × 6809) / 1
LCM(6804,6809) = 46328436 / 1
LCM(6804,6809) = 46328436

Properties of LCM 6804 and 6809

(i) The LCM of 6809 and 6804 is associative

LCM of 6804 and 6809 = LCM of 6809 and 6804

Related Least Common Multiples of 6804

Related Least Common Multiples of 6809

Frequently Asked Questions on LCM of 6804 and 6809

1. What is the LCM of 6804 and 6809?

Answer: LCM of 6804 and 6809 is 46328436.

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 6809?

Answer: Factors of 6809 are 1, 11, 619, 6809. There are 4 integers that are factors of 6809. The greatest factor of 6809 is 6809.

4. How to Find the LCM of 6804 and 6809?

Answer:

Least Common Multiple of 6804 and 6809 = 46328436

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 6809

6809 = 11 x 619

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

LCM = 46328436 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 11 x 619

Step 4: Therefore, the least common multiple of 6804 and 6809 is 46328436.