Least Common Multiple of 2409 and 2417
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2409 and 2417 the smallest integer that is 5822553 that is divisible by both numbers.
Least Common Multiple (LCM) of 2409 and 2417 is 5822553.
LCM(2409,2417) = 5822553
LCM of 2409 and 2417
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2409 and 2417 by Prime method
- Least Common Multiple of 2409 and 2417 with GCF Formula
LCM of 2409 and 2417 is 5822553
Least common multiple can be found by multiplying the highest exponent prime factors of 2409 and 2417. First we will calculate the prime factors of 2409 and 2417.
Prime Factorization of 2409
| 3 | 2409 |
| 11 | 803 |
| 73 | 73 |
| 1 |
Prime factors of 2409 are 3, 11,73. Prime factorization of 2409 in exponential form is:
2409 = 31×111×731
Prime Factorization of 2417
| 2417 | 2417 |
| 1 |
Prime factors of 2417 are 2417. Prime factorization of 2417 in exponential form is:
2417 = 24171
Now multiplying the highest exponent prime factors to calculate the LCM of 2409 and 2417.
LCM(2409,2417) = 31×111×731×24171
LCM(2409,2417) = 5822553
Factors of 2409
List of positive integer factors of 2409 that divides 2409 without a remainder.
1, 3, 11, 33, 73, 219, 803, 2409
Factors of 2417
List of positive integer factors of 2417 that divides 2417 without a remainder.
1, 2417
Least Common Multiple of 2409 and 2417 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2409 and 2417, than apply into the LCM equation.
GCF(2409,2417) = 1
LCM(2409,2417) = ( 2409 × 2417) / 1
LCM(2409,2417) = 5822553 / 1
LCM(2409,2417) = 5822553
Properties of LCM 2409 and 2417
(i) The LCM of 2417 and 2409 is associative
LCM of 2409 and 2417 = LCM of 2417 and 2409
Related Least Common Multiples of 2409
Related Least Common Multiples of 2417
Frequently Asked Questions on LCM of 2409 and 2417
1. What is the LCM of 2409 and 2417?
Answer: LCM of 2409 and 2417 is 5822553.
2. What are the Factors of 2409?
Answer: Factors of 2409 are 1, 3, 11, 33, 73, 219, 803, 2409. There are 8 integers that are factors of 2409. The greatest factor of 2409 is 2409.
3. What are the Factors of 2417?
Answer: Factors of 2417 are 1, 2417. There are 2 integers that are factors of 2417. The greatest factor of 2417 is 2417.
4. How to Find the LCM of 2409 and 2417?
Answer:
Least Common Multiple of 2409 and 2417 = 5822553
Step 1: Find the prime factorization of 2409
2409 = 3 x 11 x 73
Step 2: Find the prime factorization of 2417
2417 = 2417
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5822553 = 3 x 11 x 73 x 2417
Step 4: Therefore, the least common multiple of 2409 and 2417 is 5822553.
