Least Common Multiple of 2497 and 2501
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2497 and 2501 the smallest integer that is 6244997 that is divisible by both numbers.
Least Common Multiple (LCM) of 2497 and 2501 is 6244997.
LCM(2497,2501) = 6244997
LCM of 2497 and 2501
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2497 and 2501 by Prime method
- Least Common Multiple of 2497 and 2501 with GCF Formula
LCM of 2497 and 2501 is 6244997
Least common multiple can be found by multiplying the highest exponent prime factors of 2497 and 2501. First we will calculate the prime factors of 2497 and 2501.
Prime Factorization of 2497
| 11 | 2497 |
| 227 | 227 |
| 1 |
Prime factors of 2497 are 11,227. Prime factorization of 2497 in exponential form is:
2497 = 111×2271
Prime Factorization of 2501
| 41 | 2501 |
| 61 | 61 |
| 1 |
Prime factors of 2501 are 41,61. Prime factorization of 2501 in exponential form is:
2501 = 411×611
Now multiplying the highest exponent prime factors to calculate the LCM of 2497 and 2501.
LCM(2497,2501) = 111×411×611×2271
LCM(2497,2501) = 6244997
Factors of 2497
List of positive integer factors of 2497 that divides 2497 without a remainder.
1, 11, 227, 2497
Factors of 2501
List of positive integer factors of 2501 that divides 2501 without a remainder.
1, 41, 61, 2501
Least Common Multiple of 2497 and 2501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2497 and 2501, than apply into the LCM equation.
GCF(2497,2501) = 1
LCM(2497,2501) = ( 2497 × 2501) / 1
LCM(2497,2501) = 6244997 / 1
LCM(2497,2501) = 6244997
Properties of LCM 2497 and 2501
(i) The LCM of 2501 and 2497 is associative
LCM of 2497 and 2501 = LCM of 2501 and 2497
Related Least Common Multiples of 2497
Related Least Common Multiples of 2501
Frequently Asked Questions on LCM of 2497 and 2501
1. What is the LCM of 2497 and 2501?
Answer: LCM of 2497 and 2501 is 6244997.
2. What are the Factors of 2497?
Answer: Factors of 2497 are 1, 11, 227, 2497. There are 4 integers that are factors of 2497. The greatest factor of 2497 is 2497.
3. What are the Factors of 2501?
Answer: Factors of 2501 are 1, 41, 61, 2501. There are 4 integers that are factors of 2501. The greatest factor of 2501 is 2501.
4. How to Find the LCM of 2497 and 2501?
Answer:
Least Common Multiple of 2497 and 2501 = 6244997
Step 1: Find the prime factorization of 2497
2497 = 11 x 227
Step 2: Find the prime factorization of 2501
2501 = 41 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6244997 = 11 x 41 x 61 x 227
Step 4: Therefore, the least common multiple of 2497 and 2501 is 6244997.