Least Common Multiple of 6409 and 6415
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6409 and 6415 the smallest integer that is 41113735 that is divisible by both numbers.
Least Common Multiple (LCM) of 6409 and 6415 is 41113735.
LCM(6409,6415) = 41113735
LCM of 6409 and 6415
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6409 and 6415 by Prime method
- Least Common Multiple of 6409 and 6415 with GCF Formula
LCM of 6409 and 6415 is 41113735
Least common multiple can be found by multiplying the highest exponent prime factors of 6409 and 6415. First we will calculate the prime factors of 6409 and 6415.
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
Prime Factorization of 6415
| 5 | 6415 |
| 1283 | 1283 |
| 1 |
Prime factors of 6415 are 5,1283. Prime factorization of 6415 in exponential form is:
6415 = 51×12831
Now multiplying the highest exponent prime factors to calculate the LCM of 6409 and 6415.
LCM(6409,6415) = 51×131×171×291×12831
LCM(6409,6415) = 41113735
Factors of 6409
List of positive integer factors of 6409 that divides 6409 without a remainder.
1, 13, 17, 29, 221, 377, 493, 6409
Factors of 6415
List of positive integer factors of 6415 that divides 6415 without a remainder.
1, 5, 1283, 6415
Least Common Multiple of 6409 and 6415 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6409 and 6415, than apply into the LCM equation.
GCF(6409,6415) = 1
LCM(6409,6415) = ( 6409 × 6415) / 1
LCM(6409,6415) = 41113735 / 1
LCM(6409,6415) = 41113735
Properties of LCM 6409 and 6415
(i) The LCM of 6415 and 6409 is associative
LCM of 6409 and 6415 = LCM of 6415 and 6409
Related Least Common Multiples of 6409
Related Least Common Multiples of 6415
Frequently Asked Questions on LCM of 6409 and 6415
1. What is the LCM of 6409 and 6415?
Answer: LCM of 6409 and 6415 is 41113735.
2. 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.
3. What are the Factors of 6415?
Answer: Factors of 6415 are 1, 5, 1283, 6415. There are 4 integers that are factors of 6415. The greatest factor of 6415 is 6415.
4. How to Find the LCM of 6409 and 6415?
Answer:
Least Common Multiple of 6409 and 6415 = 41113735
Step 1: Find the prime factorization of 6409
6409 = 13 x 17 x 29
Step 2: Find the prime factorization of 6415
6415 = 5 x 1283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41113735 = 5 x 13 x 17 x 29 x 1283
Step 4: Therefore, the least common multiple of 6409 and 6415 is 41113735.