Least Common Multiple of 6503 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 6503 and 6509 the smallest integer that is 42328027 that is divisible by both numbers.
Least Common Multiple (LCM) of 6503 and 6509 is 42328027.
LCM(6503,6509) = 42328027
LCM of 6503 and 6509
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6503 and 6509 by Prime method
- Least Common Multiple of 6503 and 6509 with GCF Formula
LCM of 6503 and 6509 is 42328027
Least common multiple can be found by multiplying the highest exponent prime factors of 6503 and 6509. First we will calculate the prime factors of 6503 and 6509.
Prime Factorization of 6503
| 7 | 6503 |
| 929 | 929 |
| 1 |
Prime factors of 6503 are 7,929. Prime factorization of 6503 in exponential form is:
6503 = 71×9291
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 6503 and 6509.
LCM(6503,6509) = 71×231×2831×9291
LCM(6503,6509) = 42328027
Factors of 6503
List of positive integer factors of 6503 that divides 6503 without a remainder.
1, 7, 929, 6503
Factors of 6509
List of positive integer factors of 6509 that divides 6509 without a remainder.
1, 23, 283, 6509
Least Common Multiple of 6503 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 6503 and 6509, than apply into the LCM equation.
GCF(6503,6509) = 1
LCM(6503,6509) = ( 6503 × 6509) / 1
LCM(6503,6509) = 42328027 / 1
LCM(6503,6509) = 42328027
Properties of LCM 6503 and 6509
(i) The LCM of 6509 and 6503 is associative
LCM of 6503 and 6509 = LCM of 6509 and 6503
Related Least Common Multiples of 6503
Related Least Common Multiples of 6509
Frequently Asked Questions on LCM of 6503 and 6509
1. What is the LCM of 6503 and 6509?
Answer: LCM of 6503 and 6509 is 42328027.
2. What are the Factors of 6503?
Answer: Factors of 6503 are 1, 7, 929, 6503. There are 4 integers that are factors of 6503. The greatest factor of 6503 is 6503.
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 6503 and 6509?
Answer:
Least Common Multiple of 6503 and 6509 = 42328027
Step 1: Find the prime factorization of 6503
6503 = 7 x 929
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 = 42328027 = 7 x 23 x 283 x 929
Step 4: Therefore, the least common multiple of 6503 and 6509 is 42328027.