Least Common Multiple of 6405 and 6409
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 6409 the smallest integer that is 41049645 that is divisible by both numbers.
Least Common Multiple (LCM) of 6405 and 6409 is 41049645.
LCM(6405,6409) = 41049645
LCM of 6405 and 6409
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6405 and 6409 by Prime method
- Least Common Multiple of 6405 and 6409 with GCF Formula
LCM of 6405 and 6409 is 41049645
Least common multiple can be found by multiplying the highest exponent prime factors of 6405 and 6409. First we will calculate the prime factors of 6405 and 6409.
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 6409
| 13 | 6409 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 6409 are 13, 17,29. Prime factorization of 6409 in exponential form is:
6409 = 131×171×291
Now multiplying the highest exponent prime factors to calculate the LCM of 6405 and 6409.
LCM(6405,6409) = 31×51×71×131×171×291×611
LCM(6405,6409) = 41049645
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 6409
List of positive integer factors of 6409 that divides 6409 without a remainder.
1, 13, 17, 29, 221, 377, 493, 6409
Least Common Multiple of 6405 and 6409 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 6409, than apply into the LCM equation.
GCF(6405,6409) = 1
LCM(6405,6409) = ( 6405 × 6409) / 1
LCM(6405,6409) = 41049645 / 1
LCM(6405,6409) = 41049645
Properties of LCM 6405 and 6409
(i) The LCM of 6409 and 6405 is associative
LCM of 6405 and 6409 = LCM of 6409 and 6405
Related Least Common Multiples of 6405
Related Least Common Multiples of 6409
Frequently Asked Questions on LCM of 6405 and 6409
1. What is the LCM of 6405 and 6409?
Answer: LCM of 6405 and 6409 is 41049645.
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 6409?
Answer: Factors of 6409 are 1, 13, 17, 29, 221, 377, 493, 6409. There are 8 integers that are factors of 6409. The greatest factor of 6409 is 6409.
4. How to Find the LCM of 6405 and 6409?
Answer:
Least Common Multiple of 6405 and 6409 = 41049645
Step 1: Find the prime factorization of 6405
6405 = 3 x 5 x 7 x 61
Step 2: Find the prime factorization of 6409
6409 = 13 x 17 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41049645 = 3 x 5 x 7 x 13 x 17 x 29 x 61
Step 4: Therefore, the least common multiple of 6405 and 6409 is 41049645.