Least Common Multiple of 2805 and 2813
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2805 and 2813 the smallest integer that is 7890465 that is divisible by both numbers.
Least Common Multiple (LCM) of 2805 and 2813 is 7890465.
LCM(2805,2813) = 7890465
LCM of 2805 and 2813
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2805 and 2813 by Prime method
- Least Common Multiple of 2805 and 2813 with GCF Formula
LCM of 2805 and 2813 is 7890465
Least common multiple can be found by multiplying the highest exponent prime factors of 2805 and 2813. First we will calculate the prime factors of 2805 and 2813.
Prime Factorization of 2805
| 3 | 2805 |
| 5 | 935 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 2805 are 3, 5, 11,17. Prime factorization of 2805 in exponential form is:
2805 = 31×51×111×171
Prime Factorization of 2813
| 29 | 2813 |
| 97 | 97 |
| 1 |
Prime factors of 2813 are 29,97. Prime factorization of 2813 in exponential form is:
2813 = 291×971
Now multiplying the highest exponent prime factors to calculate the LCM of 2805 and 2813.
LCM(2805,2813) = 31×51×111×171×291×971
LCM(2805,2813) = 7890465
Factors of 2805
List of positive integer factors of 2805 that divides 2805 without a remainder.
1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935, 2805
Factors of 2813
List of positive integer factors of 2813 that divides 2813 without a remainder.
1, 29, 97, 2813
Least Common Multiple of 2805 and 2813 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2805 and 2813, than apply into the LCM equation.
GCF(2805,2813) = 1
LCM(2805,2813) = ( 2805 × 2813) / 1
LCM(2805,2813) = 7890465 / 1
LCM(2805,2813) = 7890465
Properties of LCM 2805 and 2813
(i) The LCM of 2813 and 2805 is associative
LCM of 2805 and 2813 = LCM of 2813 and 2805
Related Least Common Multiples of 2805
Related Least Common Multiples of 2813
Frequently Asked Questions on LCM of 2805 and 2813
1. What is the LCM of 2805 and 2813?
Answer: LCM of 2805 and 2813 is 7890465.
2. What are the Factors of 2805?
Answer: Factors of 2805 are 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935, 2805. There are 16 integers that are factors of 2805. The greatest factor of 2805 is 2805.
3. What are the Factors of 2813?
Answer: Factors of 2813 are 1, 29, 97, 2813. There are 4 integers that are factors of 2813. The greatest factor of 2813 is 2813.
4. How to Find the LCM of 2805 and 2813?
Answer:
Least Common Multiple of 2805 and 2813 = 7890465
Step 1: Find the prime factorization of 2805
2805 = 3 x 5 x 11 x 17
Step 2: Find the prime factorization of 2813
2813 = 29 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7890465 = 3 x 5 x 11 x 17 x 29 x 97
Step 4: Therefore, the least common multiple of 2805 and 2813 is 7890465.