Least Common Multiple of 6405 and 6413
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6405 and 6413 the smallest integer that is 41075265 that is divisible by both numbers.
Least Common Multiple (LCM) of 6405 and 6413 is 41075265.
LCM(6405,6413) = 41075265
LCM of 6405 and 6413
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6405 and 6413 by Prime method
- Least Common Multiple of 6405 and 6413 with GCF Formula
LCM of 6405 and 6413 is 41075265
Least common multiple can be found by multiplying the highest exponent prime factors of 6405 and 6413. First we will calculate the prime factors of 6405 and 6413.
Prime Factorization of 6405
| 3 | 6405 |
| 5 | 2135 |
| 7 | 427 |
| 61 | 61 |
| 1 |
Prime factors of 6405 are 3, 5, 7,61. Prime factorization of 6405 in exponential form is:
6405 = 31×51×71×611
Prime Factorization of 6413
| 11 | 6413 |
| 11 | 583 |
| 53 | 53 |
| 1 |
Prime factors of 6413 are 11,53. Prime factorization of 6413 in exponential form is:
6413 = 112×531
Now multiplying the highest exponent prime factors to calculate the LCM of 6405 and 6413.
LCM(6405,6413) = 31×51×71×112×531×611
LCM(6405,6413) = 41075265
Factors of 6405
List of positive integer factors of 6405 that divides 6405 without a remainder.
1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405
Factors of 6413
List of positive integer factors of 6413 that divides 6413 without a remainder.
1, 11, 53, 121, 583, 6413
Least Common Multiple of 6405 and 6413 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6405 and 6413, than apply into the LCM equation.
GCF(6405,6413) = 1
LCM(6405,6413) = ( 6405 × 6413) / 1
LCM(6405,6413) = 41075265 / 1
LCM(6405,6413) = 41075265
Properties of LCM 6405 and 6413
(i) The LCM of 6413 and 6405 is associative
LCM of 6405 and 6413 = LCM of 6413 and 6405
Related Least Common Multiples of 6405
Related Least Common Multiples of 6413
Frequently Asked Questions on LCM of 6405 and 6413
1. What is the LCM of 6405 and 6413?
Answer: LCM of 6405 and 6413 is 41075265.
2. What are the Factors of 6405?
Answer: Factors of 6405 are 1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405. There are 16 integers that are factors of 6405. The greatest factor of 6405 is 6405.
3. What are the Factors of 6413?
Answer: Factors of 6413 are 1, 11, 53, 121, 583, 6413. There are 6 integers that are factors of 6413. The greatest factor of 6413 is 6413.
4. How to Find the LCM of 6405 and 6413?
Answer:
Least Common Multiple of 6405 and 6413 = 41075265
Step 1: Find the prime factorization of 6405
6405 = 3 x 5 x 7 x 61
Step 2: Find the prime factorization of 6413
6413 = 11 x 11 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41075265 = 3 x 5 x 7 x 11 x 11 x 53 x 61
Step 4: Therefore, the least common multiple of 6405 and 6413 is 41075265.