Least Common Multiple of 2489 and 2495
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 2495 the smallest integer that is 6210055 that is divisible by both numbers.
Least Common Multiple (LCM) of 2489 and 2495 is 6210055.
LCM(2489,2495) = 6210055
LCM of 2489 and 2495
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2489 and 2495 by Prime method
- Least Common Multiple of 2489 and 2495 with GCF Formula
LCM of 2489 and 2495 is 6210055
Least common multiple can be found by multiplying the highest exponent prime factors of 2489 and 2495. First we will calculate the prime factors of 2489 and 2495.
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 2495
| 5 | 2495 |
| 499 | 499 |
| 1 |
Prime factors of 2495 are 5,499. Prime factorization of 2495 in exponential form is:
2495 = 51×4991
Now multiplying the highest exponent prime factors to calculate the LCM of 2489 and 2495.
LCM(2489,2495) = 51×191×1311×4991
LCM(2489,2495) = 6210055
Factors of 2489
List of positive integer factors of 2489 that divides 2489 without a remainder.
1, 19, 131, 2489
Factors of 2495
List of positive integer factors of 2495 that divides 2495 without a remainder.
1, 5, 499, 2495
Least Common Multiple of 2489 and 2495 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 2495, than apply into the LCM equation.
GCF(2489,2495) = 1
LCM(2489,2495) = ( 2489 × 2495) / 1
LCM(2489,2495) = 6210055 / 1
LCM(2489,2495) = 6210055
Properties of LCM 2489 and 2495
(i) The LCM of 2495 and 2489 is associative
LCM of 2489 and 2495 = LCM of 2495 and 2489
Related Least Common Multiples of 2489
Related Least Common Multiples of 2495
Frequently Asked Questions on LCM of 2489 and 2495
1. What is the LCM of 2489 and 2495?
Answer: LCM of 2489 and 2495 is 6210055.
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 2495?
Answer: Factors of 2495 are 1, 5, 499, 2495. There are 4 integers that are factors of 2495. The greatest factor of 2495 is 2495.
4. How to Find the LCM of 2489 and 2495?
Answer:
Least Common Multiple of 2489 and 2495 = 6210055
Step 1: Find the prime factorization of 2489
2489 = 19 x 131
Step 2: Find the prime factorization of 2495
2495 = 5 x 499
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6210055 = 5 x 19 x 131 x 499
Step 4: Therefore, the least common multiple of 2489 and 2495 is 6210055.