Least Common Multiple of 6509 and 6515
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6509 and 6515 the smallest integer that is 42406135 that is divisible by both numbers.
Least Common Multiple (LCM) of 6509 and 6515 is 42406135.
LCM(6509,6515) = 42406135
LCM of 6509 and 6515
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6509 and 6515 by Prime method
- Least Common Multiple of 6509 and 6515 with GCF Formula
LCM of 6509 and 6515 is 42406135
Least common multiple can be found by multiplying the highest exponent prime factors of 6509 and 6515. First we will calculate the prime factors of 6509 and 6515.
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
Prime Factorization of 6515
| 5 | 6515 |
| 1303 | 1303 |
| 1 |
Prime factors of 6515 are 5,1303. Prime factorization of 6515 in exponential form is:
6515 = 51×13031
Now multiplying the highest exponent prime factors to calculate the LCM of 6509 and 6515.
LCM(6509,6515) = 51×231×2831×13031
LCM(6509,6515) = 42406135
Factors of 6509
List of positive integer factors of 6509 that divides 6509 without a remainder.
1, 23, 283, 6509
Factors of 6515
List of positive integer factors of 6515 that divides 6515 without a remainder.
1, 5, 1303, 6515
Least Common Multiple of 6509 and 6515 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6509 and 6515, than apply into the LCM equation.
GCF(6509,6515) = 1
LCM(6509,6515) = ( 6509 × 6515) / 1
LCM(6509,6515) = 42406135 / 1
LCM(6509,6515) = 42406135
Properties of LCM 6509 and 6515
(i) The LCM of 6515 and 6509 is associative
LCM of 6509 and 6515 = LCM of 6515 and 6509
Related Least Common Multiples of 6509
Related Least Common Multiples of 6515
Frequently Asked Questions on LCM of 6509 and 6515
1. What is the LCM of 6509 and 6515?
Answer: LCM of 6509 and 6515 is 42406135.
2. 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.
3. What are the Factors of 6515?
Answer: Factors of 6515 are 1, 5, 1303, 6515. There are 4 integers that are factors of 6515. The greatest factor of 6515 is 6515.
4. How to Find the LCM of 6509 and 6515?
Answer:
Least Common Multiple of 6509 and 6515 = 42406135
Step 1: Find the prime factorization of 6509
6509 = 23 x 283
Step 2: Find the prime factorization of 6515
6515 = 5 x 1303
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42406135 = 5 x 23 x 283 x 1303
Step 4: Therefore, the least common multiple of 6509 and 6515 is 42406135.