Least Common Multiple of 6798 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 6798 and 6804 the smallest integer that is 7708932 that is divisible by both numbers.

Least Common Multiple (LCM) of 6798 and 6804 is 7708932.

LCM(6798,6804) = 7708932

LCM of 6798 and 6804

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

LCM of:
and

Least Common Multiple of 6798 and 6804

LCM of 6798 and 6804 is 7708932

Least common multiple can be found by multiplying the highest exponent prime factors of 6798 and 6804. First we will calculate the prime factors of 6798 and 6804.

Prime Factorization of 6798


2 6798
3 3399
11 1133
103 103
1

Prime factors of 6798 are 2, 3, 11,103. Prime factorization of 6798 in exponential form is:

6798 = 21×31×111×1031

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 6798 and 6804.

LCM(6798,6804) = 22×35×71×111×1031
LCM(6798,6804) = 7708932

Factors of 6798

List of positive integer factors of 6798 that divides 6798 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798

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 6798 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 6798 and 6804, than apply into the LCM equation.

GCF(6798,6804) = 6
LCM(6798,6804) = ( 6798 × 6804) / 6
LCM(6798,6804) = 46253592 / 6
LCM(6798,6804) = 7708932

Properties of LCM 6798 and 6804

(i) The LCM of 6804 and 6798 is associative

LCM of 6798 and 6804 = LCM of 6804 and 6798

Related Least Common Multiples of 6798

Related Least Common Multiples of 6804

Frequently Asked Questions on LCM of 6798 and 6804

1. What is the LCM of 6798 and 6804?

Answer: LCM of 6798 and 6804 is 7708932.

2. What are the Factors of 6798?

Answer: Factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798. There are 16 integers that are factors of 6798. The greatest factor of 6798 is 6798.

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 6798 and 6804?

Answer:

Least Common Multiple of 6798 and 6804 = 7708932

Step 1: Find the prime factorization of 6798

6798 = 2 x 3 x 11 x 103

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 = 7708932 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 11 x 103

Step 4: Therefore, the least common multiple of 6798 and 6804 is 7708932.