Least Common Multiple of 2489 and 2494
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2489 and 2494 the smallest integer that is 6207566 that is divisible by both numbers.
Least Common Multiple (LCM) of 2489 and 2494 is 6207566.
LCM(2489,2494) = 6207566
LCM of 2489 and 2494
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2489 and 2494 by Prime method
- Least Common Multiple of 2489 and 2494 with GCF Formula
LCM of 2489 and 2494 is 6207566
Least common multiple can be found by multiplying the highest exponent prime factors of 2489 and 2494. First we will calculate the prime factors of 2489 and 2494.
Prime Factorization of 2489
| 19 | 2489 |
| 131 | 131 |
| 1 |
Prime factors of 2489 are 19,131. Prime factorization of 2489 in exponential form is:
2489 = 191×1311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2489 and 2494.
LCM(2489,2494) = 21×191×291×431×1311
LCM(2489,2494) = 6207566
Factors of 2489
List of positive integer factors of 2489 that divides 2489 without a remainder.
1, 19, 131, 2489
Factors of 2494
List of positive integer factors of 2494 that divides 2494 without a remainder.
1, 2, 29, 43, 58, 86, 1247, 2494
Least Common Multiple of 2489 and 2494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2489 and 2494, than apply into the LCM equation.
GCF(2489,2494) = 1
LCM(2489,2494) = ( 2489 × 2494) / 1
LCM(2489,2494) = 6207566 / 1
LCM(2489,2494) = 6207566
Properties of LCM 2489 and 2494
(i) The LCM of 2494 and 2489 is associative
LCM of 2489 and 2494 = LCM of 2494 and 2489
Related Least Common Multiples of 2489
Related Least Common Multiples of 2494
Frequently Asked Questions on LCM of 2489 and 2494
1. What is the LCM of 2489 and 2494?
Answer: LCM of 2489 and 2494 is 6207566.
2. What are the Factors of 2489?
Answer: Factors of 2489 are 1, 19, 131, 2489. There are 4 integers that are factors of 2489. The greatest factor of 2489 is 2489.
3. 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.
4. How to Find the LCM of 2489 and 2494?
Answer:
Least Common Multiple of 2489 and 2494 = 6207566
Step 1: Find the prime factorization of 2489
2489 = 19 x 131
Step 2: Find the prime factorization of 2494
2494 = 2 x 29 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6207566 = 2 x 19 x 29 x 43 x 131
Step 4: Therefore, the least common multiple of 2489 and 2494 is 6207566.