Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6799 and 6804 the smallest integer that is 46260396 that is divisible by both numbers.
Least Common Multiple (LCM) of 6799 and 6804 is 46260396.
LCM(6799,6804) = 46260396
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6799 and 6804. First we will calculate the prime factors of 6799 and 6804.
Prime Factorization of 6799
13 | 6799 |
523 | 523 |
1 |
Prime factors of 6799 are 13,523. Prime factorization of 6799 in exponential form is:
6799 = 131×5231
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 6799 and 6804.
LCM(6799,6804) = 22×35×71×131×5231
LCM(6799,6804) = 46260396
Factors of 6799
List of positive integer factors of 6799 that divides 6799 without a remainder.
1, 13, 523, 6799
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6799 and 6804, than apply into the LCM equation.
GCF(6799,6804) = 1
LCM(6799,6804) = ( 6799 × 6804) / 1
LCM(6799,6804) = 46260396 / 1
LCM(6799,6804) = 46260396
(i) The LCM of 6804 and 6799 is associative
LCM of 6799 and 6804 = LCM of 6804 and 6799
1. What is the LCM of 6799 and 6804?
Answer: LCM of 6799 and 6804 is 46260396.
2. What are the Factors of 6799?
Answer: Factors of 6799 are 1, 13, 523, 6799. There are 4 integers that are factors of 6799. The greatest factor of 6799 is 6799.
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 6799 and 6804?
Answer:
Least Common Multiple of 6799 and 6804 = 46260396
Step 1: Find the prime factorization of 6799
6799 = 13 x 523
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 = 46260396 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 13 x 523
Step 4: Therefore, the least common multiple of 6799 and 6804 is 46260396.