Least Common Multiple of 2494 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 2494 and 2501 the smallest integer that is 6237494 that is divisible by both numbers.
Least Common Multiple (LCM) of 2494 and 2501 is 6237494.
LCM(2494,2501) = 6237494
LCM of 2494 and 2501
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2494 and 2501 by Prime method
- Least Common Multiple of 2494 and 2501 with GCF Formula
LCM of 2494 and 2501 is 6237494
Least common multiple can be found by multiplying the highest exponent prime factors of 2494 and 2501. First we will calculate the prime factors of 2494 and 2501.
Prime Factorization of 2494
| 2 | 2494 |
| 29 | 1247 |
| 43 | 43 |
| 1 |
Prime factors of 2494 are 2, 29,43. Prime factorization of 2494 in exponential form is:
2494 = 21×291×431
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 2494 and 2501.
LCM(2494,2501) = 21×291×411×431×611
LCM(2494,2501) = 6237494
Factors of 2494
List of positive integer factors of 2494 that divides 2494 without a remainder.
1, 2, 29, 43, 58, 86, 1247, 2494
Factors of 2501
List of positive integer factors of 2501 that divides 2501 without a remainder.
1, 41, 61, 2501
Least Common Multiple of 2494 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 2494 and 2501, than apply into the LCM equation.
GCF(2494,2501) = 1
LCM(2494,2501) = ( 2494 × 2501) / 1
LCM(2494,2501) = 6237494 / 1
LCM(2494,2501) = 6237494
Properties of LCM 2494 and 2501
(i) The LCM of 2501 and 2494 is associative
LCM of 2494 and 2501 = LCM of 2501 and 2494
Related Least Common Multiples of 2494
Related Least Common Multiples of 2501
Frequently Asked Questions on LCM of 2494 and 2501
1. What is the LCM of 2494 and 2501?
Answer: LCM of 2494 and 2501 is 6237494.
2. What are the Factors of 2494?
Answer: Factors of 2494 are 1, 2, 29, 43, 58, 86, 1247, 2494. There are 8 integers that are factors of 2494. The greatest factor of 2494 is 2494.
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 2494 and 2501?
Answer:
Least Common Multiple of 2494 and 2501 = 6237494
Step 1: Find the prime factorization of 2494
2494 = 2 x 29 x 43
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 = 6237494 = 2 x 29 x 41 x 43 x 61
Step 4: Therefore, the least common multiple of 2494 and 2501 is 6237494.