Least Common Multiple of 2489 and 2497
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 2497 the smallest integer that is 6215033 that is divisible by both numbers.
Least Common Multiple (LCM) of 2489 and 2497 is 6215033.
LCM(2489,2497) = 6215033
LCM of 2489 and 2497
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2489 and 2497 by Prime method
- Least Common Multiple of 2489 and 2497 with GCF Formula
LCM of 2489 and 2497 is 6215033
Least common multiple can be found by multiplying the highest exponent prime factors of 2489 and 2497. First we will calculate the prime factors of 2489 and 2497.
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 2497
| 11 | 2497 |
| 227 | 227 |
| 1 |
Prime factors of 2497 are 11,227. Prime factorization of 2497 in exponential form is:
2497 = 111×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 2489 and 2497.
LCM(2489,2497) = 111×191×1311×2271
LCM(2489,2497) = 6215033
Factors of 2489
List of positive integer factors of 2489 that divides 2489 without a remainder.
1, 19, 131, 2489
Factors of 2497
List of positive integer factors of 2497 that divides 2497 without a remainder.
1, 11, 227, 2497
Least Common Multiple of 2489 and 2497 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 2497, than apply into the LCM equation.
GCF(2489,2497) = 1
LCM(2489,2497) = ( 2489 × 2497) / 1
LCM(2489,2497) = 6215033 / 1
LCM(2489,2497) = 6215033
Properties of LCM 2489 and 2497
(i) The LCM of 2497 and 2489 is associative
LCM of 2489 and 2497 = LCM of 2497 and 2489
Related Least Common Multiples of 2489
Related Least Common Multiples of 2497
Frequently Asked Questions on LCM of 2489 and 2497
1. What is the LCM of 2489 and 2497?
Answer: LCM of 2489 and 2497 is 6215033.
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 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.
4. How to Find the LCM of 2489 and 2497?
Answer:
Least Common Multiple of 2489 and 2497 = 6215033
Step 1: Find the prime factorization of 2489
2489 = 19 x 131
Step 2: Find the prime factorization of 2497
2497 = 11 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6215033 = 11 x 19 x 131 x 227
Step 4: Therefore, the least common multiple of 2489 and 2497 is 6215033.