Least Common Multiple of 2461 and 2465
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2461 and 2465 the smallest integer that is 6066365 that is divisible by both numbers.
Least Common Multiple (LCM) of 2461 and 2465 is 6066365.
LCM(2461,2465) = 6066365
LCM of 2461 and 2465
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2461 and 2465 by Prime method
- Least Common Multiple of 2461 and 2465 with GCF Formula
LCM of 2461 and 2465 is 6066365
Least common multiple can be found by multiplying the highest exponent prime factors of 2461 and 2465. First we will calculate the prime factors of 2461 and 2465.
Prime Factorization of 2461
| 23 | 2461 |
| 107 | 107 |
| 1 |
Prime factors of 2461 are 23,107. Prime factorization of 2461 in exponential form is:
2461 = 231×1071
Prime Factorization of 2465
| 5 | 2465 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 2465 are 5, 17,29. Prime factorization of 2465 in exponential form is:
2465 = 51×171×291
Now multiplying the highest exponent prime factors to calculate the LCM of 2461 and 2465.
LCM(2461,2465) = 51×171×231×291×1071
LCM(2461,2465) = 6066365
Factors of 2461
List of positive integer factors of 2461 that divides 2461 without a remainder.
1, 23, 107, 2461
Factors of 2465
List of positive integer factors of 2465 that divides 2465 without a remainder.
1, 5, 17, 29, 85, 145, 493, 2465
Least Common Multiple of 2461 and 2465 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2461 and 2465, than apply into the LCM equation.
GCF(2461,2465) = 1
LCM(2461,2465) = ( 2461 × 2465) / 1
LCM(2461,2465) = 6066365 / 1
LCM(2461,2465) = 6066365
Properties of LCM 2461 and 2465
(i) The LCM of 2465 and 2461 is associative
LCM of 2461 and 2465 = LCM of 2465 and 2461
Related Least Common Multiples of 2461
Related Least Common Multiples of 2465
Frequently Asked Questions on LCM of 2461 and 2465
1. What is the LCM of 2461 and 2465?
Answer: LCM of 2461 and 2465 is 6066365.
2. What are the Factors of 2461?
Answer: Factors of 2461 are 1, 23, 107, 2461. There are 4 integers that are factors of 2461. The greatest factor of 2461 is 2461.
3. What are the Factors of 2465?
Answer: Factors of 2465 are 1, 5, 17, 29, 85, 145, 493, 2465. There are 8 integers that are factors of 2465. The greatest factor of 2465 is 2465.
4. How to Find the LCM of 2461 and 2465?
Answer:
Least Common Multiple of 2461 and 2465 = 6066365
Step 1: Find the prime factorization of 2461
2461 = 23 x 107
Step 2: Find the prime factorization of 2465
2465 = 5 x 17 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6066365 = 5 x 17 x 23 x 29 x 107
Step 4: Therefore, the least common multiple of 2461 and 2465 is 6066365.