Least Common Multiple of 2805 and 2807
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 2807 the smallest integer that is 7873635 that is divisible by both numbers.
Least Common Multiple (LCM) of 2805 and 2807 is 7873635.
LCM(2805,2807) = 7873635
LCM of 2805 and 2807
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2805 and 2807 by Prime method
- Least Common Multiple of 2805 and 2807 with GCF Formula
LCM of 2805 and 2807 is 7873635
Least common multiple can be found by multiplying the highest exponent prime factors of 2805 and 2807. First we will calculate the prime factors of 2805 and 2807.
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 2807
| 7 | 2807 |
| 401 | 401 |
| 1 |
Prime factors of 2807 are 7,401. Prime factorization of 2807 in exponential form is:
2807 = 71×4011
Now multiplying the highest exponent prime factors to calculate the LCM of 2805 and 2807.
LCM(2805,2807) = 31×51×71×111×171×4011
LCM(2805,2807) = 7873635
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 2807
List of positive integer factors of 2807 that divides 2807 without a remainder.
1, 7, 401, 2807
Least Common Multiple of 2805 and 2807 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 2807, than apply into the LCM equation.
GCF(2805,2807) = 1
LCM(2805,2807) = ( 2805 × 2807) / 1
LCM(2805,2807) = 7873635 / 1
LCM(2805,2807) = 7873635
Properties of LCM 2805 and 2807
(i) The LCM of 2807 and 2805 is associative
LCM of 2805 and 2807 = LCM of 2807 and 2805
Related Least Common Multiples of 2805
Related Least Common Multiples of 2807
Frequently Asked Questions on LCM of 2805 and 2807
1. What is the LCM of 2805 and 2807?
Answer: LCM of 2805 and 2807 is 7873635.
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 2807?
Answer: Factors of 2807 are 1, 7, 401, 2807. There are 4 integers that are factors of 2807. The greatest factor of 2807 is 2807.
4. How to Find the LCM of 2805 and 2807?
Answer:
Least Common Multiple of 2805 and 2807 = 7873635
Step 1: Find the prime factorization of 2805
2805 = 3 x 5 x 11 x 17
Step 2: Find the prime factorization of 2807
2807 = 7 x 401
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7873635 = 3 x 5 x 7 x 11 x 17 x 401
Step 4: Therefore, the least common multiple of 2805 and 2807 is 7873635.