Least Common Multiple of 6505 and 6509
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6505 and 6509 the smallest integer that is 42341045 that is divisible by both numbers.
Least Common Multiple (LCM) of 6505 and 6509 is 42341045.
LCM(6505,6509) = 42341045
LCM of 6505 and 6509
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6505 and 6509 by Prime method
- Least Common Multiple of 6505 and 6509 with GCF Formula
LCM of 6505 and 6509 is 42341045
Least common multiple can be found by multiplying the highest exponent prime factors of 6505 and 6509. First we will calculate the prime factors of 6505 and 6509.
Prime Factorization of 6505
| 5 | 6505 |
| 1301 | 1301 |
| 1 |
Prime factors of 6505 are 5,1301. Prime factorization of 6505 in exponential form is:
6505 = 51×13011
Prime Factorization of 6509
| 23 | 6509 |
| 283 | 283 |
| 1 |
Prime factors of 6509 are 23,283. Prime factorization of 6509 in exponential form is:
6509 = 231×2831
Now multiplying the highest exponent prime factors to calculate the LCM of 6505 and 6509.
LCM(6505,6509) = 51×231×2831×13011
LCM(6505,6509) = 42341045
Factors of 6505
List of positive integer factors of 6505 that divides 6505 without a remainder.
1, 5, 1301, 6505
Factors of 6509
List of positive integer factors of 6509 that divides 6509 without a remainder.
1, 23, 283, 6509
Least Common Multiple of 6505 and 6509 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6505 and 6509, than apply into the LCM equation.
GCF(6505,6509) = 1
LCM(6505,6509) = ( 6505 × 6509) / 1
LCM(6505,6509) = 42341045 / 1
LCM(6505,6509) = 42341045
Properties of LCM 6505 and 6509
(i) The LCM of 6509 and 6505 is associative
LCM of 6505 and 6509 = LCM of 6509 and 6505
Related Least Common Multiples of 6505
Related Least Common Multiples of 6509
Frequently Asked Questions on LCM of 6505 and 6509
1. What is the LCM of 6505 and 6509?
Answer: LCM of 6505 and 6509 is 42341045.
2. What are the Factors of 6505?
Answer: Factors of 6505 are 1, 5, 1301, 6505. There are 4 integers that are factors of 6505. The greatest factor of 6505 is 6505.
3. What are the Factors of 6509?
Answer: Factors of 6509 are 1, 23, 283, 6509. There are 4 integers that are factors of 6509. The greatest factor of 6509 is 6509.
4. How to Find the LCM of 6505 and 6509?
Answer:
Least Common Multiple of 6505 and 6509 = 42341045
Step 1: Find the prime factorization of 6505
6505 = 5 x 1301
Step 2: Find the prime factorization of 6509
6509 = 23 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42341045 = 5 x 23 x 283 x 1301
Step 4: Therefore, the least common multiple of 6505 and 6509 is 42341045.