Least Common Multiple of 2485 and 2489
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2485 and 2489 the smallest integer that is 6185165 that is divisible by both numbers.
Least Common Multiple (LCM) of 2485 and 2489 is 6185165.
LCM(2485,2489) = 6185165
LCM of 2485 and 2489
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2485 and 2489 by Prime method
- Least Common Multiple of 2485 and 2489 with GCF Formula
LCM of 2485 and 2489 is 6185165
Least common multiple can be found by multiplying the highest exponent prime factors of 2485 and 2489. First we will calculate the prime factors of 2485 and 2489.
Prime Factorization of 2485
| 5 | 2485 |
| 7 | 497 |
| 71 | 71 |
| 1 |
Prime factors of 2485 are 5, 7,71. Prime factorization of 2485 in exponential form is:
2485 = 51×71×711
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2485 and 2489.
LCM(2485,2489) = 51×71×191×711×1311
LCM(2485,2489) = 6185165
Factors of 2485
List of positive integer factors of 2485 that divides 2485 without a remainder.
1, 5, 7, 35, 71, 355, 497, 2485
Factors of 2489
List of positive integer factors of 2489 that divides 2489 without a remainder.
1, 19, 131, 2489
Least Common Multiple of 2485 and 2489 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2485 and 2489, than apply into the LCM equation.
GCF(2485,2489) = 1
LCM(2485,2489) = ( 2485 × 2489) / 1
LCM(2485,2489) = 6185165 / 1
LCM(2485,2489) = 6185165
Properties of LCM 2485 and 2489
(i) The LCM of 2489 and 2485 is associative
LCM of 2485 and 2489 = LCM of 2489 and 2485
Related Least Common Multiples of 2485
Related Least Common Multiples of 2489
Frequently Asked Questions on LCM of 2485 and 2489
1. What is the LCM of 2485 and 2489?
Answer: LCM of 2485 and 2489 is 6185165.
2. What are the Factors of 2485?
Answer: Factors of 2485 are 1, 5, 7, 35, 71, 355, 497, 2485. There are 8 integers that are factors of 2485. The greatest factor of 2485 is 2485.
3. 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.
4. How to Find the LCM of 2485 and 2489?
Answer:
Least Common Multiple of 2485 and 2489 = 6185165
Step 1: Find the prime factorization of 2485
2485 = 5 x 7 x 71
Step 2: Find the prime factorization of 2489
2489 = 19 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6185165 = 5 x 7 x 19 x 71 x 131
Step 4: Therefore, the least common multiple of 2485 and 2489 is 6185165.