Least Common Multiple of 2405 and 2407
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 2407 the smallest integer that is 5788835 that is divisible by both numbers.
Least Common Multiple (LCM) of 2405 and 2407 is 5788835.
LCM(2405,2407) = 5788835
LCM of 2405 and 2407
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2405 and 2407 by Prime method
- Least Common Multiple of 2405 and 2407 with GCF Formula
LCM of 2405 and 2407 is 5788835
Least common multiple can be found by multiplying the highest exponent prime factors of 2405 and 2407. First we will calculate the prime factors of 2405 and 2407.
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 2407
| 29 | 2407 |
| 83 | 83 |
| 1 |
Prime factors of 2407 are 29,83. Prime factorization of 2407 in exponential form is:
2407 = 291×831
Now multiplying the highest exponent prime factors to calculate the LCM of 2405 and 2407.
LCM(2405,2407) = 51×131×291×371×831
LCM(2405,2407) = 5788835
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 2407
List of positive integer factors of 2407 that divides 2407 without a remainder.
1, 29, 83, 2407
Least Common Multiple of 2405 and 2407 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 2407, than apply into the LCM equation.
GCF(2405,2407) = 1
LCM(2405,2407) = ( 2405 × 2407) / 1
LCM(2405,2407) = 5788835 / 1
LCM(2405,2407) = 5788835
Properties of LCM 2405 and 2407
(i) The LCM of 2407 and 2405 is associative
LCM of 2405 and 2407 = LCM of 2407 and 2405
Related Least Common Multiples of 2405
Related Least Common Multiples of 2407
Frequently Asked Questions on LCM of 2405 and 2407
1. What is the LCM of 2405 and 2407?
Answer: LCM of 2405 and 2407 is 5788835.
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 2407?
Answer: Factors of 2407 are 1, 29, 83, 2407. There are 4 integers that are factors of 2407. The greatest factor of 2407 is 2407.
4. How to Find the LCM of 2405 and 2407?
Answer:
Least Common Multiple of 2405 and 2407 = 5788835
Step 1: Find the prime factorization of 2405
2405 = 5 x 13 x 37
Step 2: Find the prime factorization of 2407
2407 = 29 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5788835 = 5 x 13 x 29 x 37 x 83
Step 4: Therefore, the least common multiple of 2405 and 2407 is 5788835.
