Least Common Multiple of 2795 and 2803
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2795 and 2803 the smallest integer that is 7834385 that is divisible by both numbers.
Least Common Multiple (LCM) of 2795 and 2803 is 7834385.
LCM(2795,2803) = 7834385
LCM of 2795 and 2803
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2795 and 2803 by Prime method
- Least Common Multiple of 2795 and 2803 with GCF Formula
LCM of 2795 and 2803 is 7834385
Least common multiple can be found by multiplying the highest exponent prime factors of 2795 and 2803. First we will calculate the prime factors of 2795 and 2803.
Prime Factorization of 2795
| 5 | 2795 |
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 2795 are 5, 13,43. Prime factorization of 2795 in exponential form is:
2795 = 51×131×431
Prime Factorization of 2803
| 2803 | 2803 |
| 1 |
Prime factors of 2803 are 2803. Prime factorization of 2803 in exponential form is:
2803 = 28031
Now multiplying the highest exponent prime factors to calculate the LCM of 2795 and 2803.
LCM(2795,2803) = 51×131×431×28031
LCM(2795,2803) = 7834385
Factors of 2795
List of positive integer factors of 2795 that divides 2795 without a remainder.
1, 5, 13, 43, 65, 215, 559, 2795
Factors of 2803
List of positive integer factors of 2803 that divides 2803 without a remainder.
1, 2803
Least Common Multiple of 2795 and 2803 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2795 and 2803, than apply into the LCM equation.
GCF(2795,2803) = 1
LCM(2795,2803) = ( 2795 × 2803) / 1
LCM(2795,2803) = 7834385 / 1
LCM(2795,2803) = 7834385
Properties of LCM 2795 and 2803
(i) The LCM of 2803 and 2795 is associative
LCM of 2795 and 2803 = LCM of 2803 and 2795
Related Least Common Multiples of 2795
Related Least Common Multiples of 2803
Frequently Asked Questions on LCM of 2795 and 2803
1. What is the LCM of 2795 and 2803?
Answer: LCM of 2795 and 2803 is 7834385.
2. What are the Factors of 2795?
Answer: Factors of 2795 are 1, 5, 13, 43, 65, 215, 559, 2795. There are 8 integers that are factors of 2795. The greatest factor of 2795 is 2795.
3. What are the Factors of 2803?
Answer: Factors of 2803 are 1, 2803. There are 2 integers that are factors of 2803. The greatest factor of 2803 is 2803.
4. How to Find the LCM of 2795 and 2803?
Answer:
Least Common Multiple of 2795 and 2803 = 7834385
Step 1: Find the prime factorization of 2795
2795 = 5 x 13 x 43
Step 2: Find the prime factorization of 2803
2803 = 2803
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7834385 = 5 x 13 x 43 x 2803
Step 4: Therefore, the least common multiple of 2795 and 2803 is 7834385.