Least Common Multiple of 6797 and 6804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6797 and 6804 the smallest integer that is 6606684 that is divisible by both numbers.

Least Common Multiple (LCM) of 6797 and 6804 is 6606684.

LCM(6797,6804) = 6606684

LCM of 6797 and 6804

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

LCM of:
and

Least Common Multiple of 6797 and 6804

LCM of 6797 and 6804 is 6606684

Least common multiple can be found by multiplying the highest exponent prime factors of 6797 and 6804. First we will calculate the prime factors of 6797 and 6804.

Prime Factorization of 6797


7 6797
971 971
1

Prime factors of 6797 are 7,971. Prime factorization of 6797 in exponential form is:

6797 = 71×9711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6797 and 6804.

LCM(6797,6804) = 22×35×71×9711
LCM(6797,6804) = 6606684

Factors of 6797

List of positive integer factors of 6797 that divides 6797 without a remainder.

1, 7, 971, 6797

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

Least Common Multiple of 6797 and 6804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6797 and 6804, than apply into the LCM equation.

GCF(6797,6804) = 7
LCM(6797,6804) = ( 6797 × 6804) / 7
LCM(6797,6804) = 46246788 / 7
LCM(6797,6804) = 6606684

Properties of LCM 6797 and 6804

(i) The LCM of 6804 and 6797 is associative

LCM of 6797 and 6804 = LCM of 6804 and 6797

Related Least Common Multiples of 6797

Related Least Common Multiples of 6804

Frequently Asked Questions on LCM of 6797 and 6804

1. What is the LCM of 6797 and 6804?

Answer: LCM of 6797 and 6804 is 6606684.

2. What are the Factors of 6797?

Answer: Factors of 6797 are 1, 7, 971, 6797. There are 4 integers that are factors of 6797. The greatest factor of 6797 is 6797.

3. 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.

4. How to Find the LCM of 6797 and 6804?

Answer:

Least Common Multiple of 6797 and 6804 = 6606684

Step 1: Find the prime factorization of 6797

6797 = 7 x 971

Step 2: Find the prime factorization of 6804

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

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

LCM = 6606684 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 971

Step 4: Therefore, the least common multiple of 6797 and 6804 is 6606684.