Least Common Multiple of 2405 and 2413
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 2413 the smallest integer that is 5803265 that is divisible by both numbers.
Least Common Multiple (LCM) of 2405 and 2413 is 5803265.
LCM(2405,2413) = 5803265
LCM of 2405 and 2413
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2405 and 2413 by Prime method
- Least Common Multiple of 2405 and 2413 with GCF Formula
LCM of 2405 and 2413 is 5803265
Least common multiple can be found by multiplying the highest exponent prime factors of 2405 and 2413. First we will calculate the prime factors of 2405 and 2413.
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 2413
| 19 | 2413 |
| 127 | 127 |
| 1 |
Prime factors of 2413 are 19,127. Prime factorization of 2413 in exponential form is:
2413 = 191×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 2405 and 2413.
LCM(2405,2413) = 51×131×191×371×1271
LCM(2405,2413) = 5803265
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 2413
List of positive integer factors of 2413 that divides 2413 without a remainder.
1, 19, 127, 2413
Least Common Multiple of 2405 and 2413 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 2413, than apply into the LCM equation.
GCF(2405,2413) = 1
LCM(2405,2413) = ( 2405 × 2413) / 1
LCM(2405,2413) = 5803265 / 1
LCM(2405,2413) = 5803265
Properties of LCM 2405 and 2413
(i) The LCM of 2413 and 2405 is associative
LCM of 2405 and 2413 = LCM of 2413 and 2405
Related Least Common Multiples of 2405
Related Least Common Multiples of 2413
Frequently Asked Questions on LCM of 2405 and 2413
1. What is the LCM of 2405 and 2413?
Answer: LCM of 2405 and 2413 is 5803265.
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 2413?
Answer: Factors of 2413 are 1, 19, 127, 2413. There are 4 integers that are factors of 2413. The greatest factor of 2413 is 2413.
4. How to Find the LCM of 2405 and 2413?
Answer:
Least Common Multiple of 2405 and 2413 = 5803265
Step 1: Find the prime factorization of 2405
2405 = 5 x 13 x 37
Step 2: Find the prime factorization of 2413
2413 = 19 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5803265 = 5 x 13 x 19 x 37 x 127
Step 4: Therefore, the least common multiple of 2405 and 2413 is 5803265.
