Least Common Multiple of 6804 and 6812

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 6812 the smallest integer that is 11587212 that is divisible by both numbers.

Least Common Multiple (LCM) of 6804 and 6812 is 11587212.

LCM(6804,6812) = 11587212

LCM of 6804 and 6812

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

LCM of:
and

Least Common Multiple of 6804 and 6812

LCM of 6804 and 6812 is 11587212

Least common multiple can be found by multiplying the highest exponent prime factors of 6804 and 6812. First we will calculate the prime factors of 6804 and 6812.

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 6812


2 6812
2 3406
13 1703
131 131
1

Prime factors of 6812 are 2, 13,131. Prime factorization of 6812 in exponential form is:

6812 = 22×131×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6804 and 6812.

LCM(6804,6812) = 22×35×71×131×1311
LCM(6804,6812) = 11587212

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 6812

List of positive integer factors of 6812 that divides 6812 without a remainder.

1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812

Least Common Multiple of 6804 and 6812 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 6812, than apply into the LCM equation.

GCF(6804,6812) = 4
LCM(6804,6812) = ( 6804 × 6812) / 4
LCM(6804,6812) = 46348848 / 4
LCM(6804,6812) = 11587212

Properties of LCM 6804 and 6812

(i) The LCM of 6812 and 6804 is associative

LCM of 6804 and 6812 = LCM of 6812 and 6804

Related Least Common Multiples of 6804

Related Least Common Multiples of 6812

Frequently Asked Questions on LCM of 6804 and 6812

1. What is the LCM of 6804 and 6812?

Answer: LCM of 6804 and 6812 is 11587212.

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 6812?

Answer: Factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812. There are 12 integers that are factors of 6812. The greatest factor of 6812 is 6812.

4. How to Find the LCM of 6804 and 6812?

Answer:

Least Common Multiple of 6804 and 6812 = 11587212

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 6812

6812 = 2 x 2 x 13 x 131

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

LCM = 11587212 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 13 x 131

Step 4: Therefore, the least common multiple of 6804 and 6812 is 11587212.