Least Common Multiple of 6509 and 6513
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 6513 the smallest integer that is 42393117 that is divisible by both numbers.
Least Common Multiple (LCM) of 6509 and 6513 is 42393117.
LCM(6509,6513) = 42393117
LCM of 6509 and 6513
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6509 and 6513 by Prime method
- Least Common Multiple of 6509 and 6513 with GCF Formula
LCM of 6509 and 6513 is 42393117
Least common multiple can be found by multiplying the highest exponent prime factors of 6509 and 6513. First we will calculate the prime factors of 6509 and 6513.
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 6513
| 3 | 6513 |
| 13 | 2171 |
| 167 | 167 |
| 1 |
Prime factors of 6513 are 3, 13,167. Prime factorization of 6513 in exponential form is:
6513 = 31×131×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 6509 and 6513.
LCM(6509,6513) = 31×131×231×1671×2831
LCM(6509,6513) = 42393117
Factors of 6509
List of positive integer factors of 6509 that divides 6509 without a remainder.
1, 23, 283, 6509
Factors of 6513
List of positive integer factors of 6513 that divides 6513 without a remainder.
1, 3, 13, 39, 167, 501, 2171, 6513
Least Common Multiple of 6509 and 6513 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 6513, than apply into the LCM equation.
GCF(6509,6513) = 1
LCM(6509,6513) = ( 6509 × 6513) / 1
LCM(6509,6513) = 42393117 / 1
LCM(6509,6513) = 42393117
Properties of LCM 6509 and 6513
(i) The LCM of 6513 and 6509 is associative
LCM of 6509 and 6513 = LCM of 6513 and 6509
Related Least Common Multiples of 6509
Related Least Common Multiples of 6513
Frequently Asked Questions on LCM of 6509 and 6513
1. What is the LCM of 6509 and 6513?
Answer: LCM of 6509 and 6513 is 42393117.
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 6513?
Answer: Factors of 6513 are 1, 3, 13, 39, 167, 501, 2171, 6513. There are 8 integers that are factors of 6513. The greatest factor of 6513 is 6513.
4. How to Find the LCM of 6509 and 6513?
Answer:
Least Common Multiple of 6509 and 6513 = 42393117
Step 1: Find the prime factorization of 6509
6509 = 23 x 283
Step 2: Find the prime factorization of 6513
6513 = 3 x 13 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42393117 = 3 x 13 x 23 x 167 x 283
Step 4: Therefore, the least common multiple of 6509 and 6513 is 42393117.