Least Common Multiple of 2405 and 2409
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2405 and 2409 the smallest integer that is 5793645 that is divisible by both numbers.
Least Common Multiple (LCM) of 2405 and 2409 is 5793645.
LCM(2405,2409) = 5793645
LCM of 2405 and 2409
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2405 and 2409 by Prime method
- Least Common Multiple of 2405 and 2409 with GCF Formula
LCM of 2405 and 2409 is 5793645
Least common multiple can be found by multiplying the highest exponent prime factors of 2405 and 2409. First we will calculate the prime factors of 2405 and 2409.
Prime Factorization of 2405
| 5 | 2405 |
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 2405 are 5, 13,37. Prime factorization of 2405 in exponential form is:
2405 = 51×131×371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2405 and 2409.
LCM(2405,2409) = 31×51×111×131×371×731
LCM(2405,2409) = 5793645
Factors of 2405
List of positive integer factors of 2405 that divides 2405 without a remainder.
1, 5, 13, 37, 65, 185, 481, 2405
Factors of 2409
List of positive integer factors of 2409 that divides 2409 without a remainder.
1, 3, 11, 33, 73, 219, 803, 2409
Least Common Multiple of 2405 and 2409 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2405 and 2409, than apply into the LCM equation.
GCF(2405,2409) = 1
LCM(2405,2409) = ( 2405 × 2409) / 1
LCM(2405,2409) = 5793645 / 1
LCM(2405,2409) = 5793645
Properties of LCM 2405 and 2409
(i) The LCM of 2409 and 2405 is associative
LCM of 2405 and 2409 = LCM of 2409 and 2405
Related Least Common Multiples of 2405
Related Least Common Multiples of 2409
Frequently Asked Questions on LCM of 2405 and 2409
1. What is the LCM of 2405 and 2409?
Answer: LCM of 2405 and 2409 is 5793645.
2. What are the Factors of 2405?
Answer: Factors of 2405 are 1, 5, 13, 37, 65, 185, 481, 2405. There are 8 integers that are factors of 2405. The greatest factor of 2405 is 2405.
3. 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.
4. How to Find the LCM of 2405 and 2409?
Answer:
Least Common Multiple of 2405 and 2409 = 5793645
Step 1: Find the prime factorization of 2405
2405 = 5 x 13 x 37
Step 2: Find the prime factorization of 2409
2409 = 3 x 11 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5793645 = 3 x 5 x 11 x 13 x 37 x 73
Step 4: Therefore, the least common multiple of 2405 and 2409 is 5793645.