Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6806 and 6813 the smallest integer that is 46369278 that is divisible by both numbers.
Least Common Multiple (LCM) of 6806 and 6813 is 46369278.
LCM(6806,6813) = 46369278
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 6806 and 6813. First we will calculate the prime factors of 6806 and 6813.
Prime Factorization of 6806
2 | 6806 |
41 | 3403 |
83 | 83 |
1 |
Prime factors of 6806 are 2, 41,83. Prime factorization of 6806 in exponential form is:
6806 = 21×411×831
Prime Factorization of 6813
3 | 6813 |
3 | 2271 |
757 | 757 |
1 |
Prime factors of 6813 are 3,757. Prime factorization of 6813 in exponential form is:
6813 = 32×7571
Now multiplying the highest exponent prime factors to calculate the LCM of 6806 and 6813.
LCM(6806,6813) = 21×32×411×831×7571
LCM(6806,6813) = 46369278
Factors of 6806
List of positive integer factors of 6806 that divides 6806 without a remainder.
1, 2, 41, 82, 83, 166, 3403, 6806
Factors of 6813
List of positive integer factors of 6813 that divides 6813 without a remainder.
1, 3, 9, 757, 2271, 6813
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6806 and 6813, than apply into the LCM equation.
GCF(6806,6813) = 1
LCM(6806,6813) = ( 6806 × 6813) / 1
LCM(6806,6813) = 46369278 / 1
LCM(6806,6813) = 46369278
(i) The LCM of 6813 and 6806 is associative
LCM of 6806 and 6813 = LCM of 6813 and 6806
1. What is the LCM of 6806 and 6813?
Answer: LCM of 6806 and 6813 is 46369278.
2. What are the Factors of 6806?
Answer: Factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806. There are 8 integers that are factors of 6806. The greatest factor of 6806 is 6806.
3. What are the Factors of 6813?
Answer: Factors of 6813 are 1, 3, 9, 757, 2271, 6813. There are 6 integers that are factors of 6813. The greatest factor of 6813 is 6813.
4. How to Find the LCM of 6806 and 6813?
Answer:
Least Common Multiple of 6806 and 6813 = 46369278
Step 1: Find the prime factorization of 6806
6806 = 2 x 41 x 83
Step 2: Find the prime factorization of 6813
6813 = 3 x 3 x 757
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46369278 = 2 x 3 x 3 x 41 x 83 x 757
Step 4: Therefore, the least common multiple of 6806 and 6813 is 46369278.