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 6508 the smallest integer that is 42321524 that is divisible by both numbers.
Least Common Multiple (LCM) of 6503 and 6508 is 42321524.
LCM(6503,6508) = 42321524
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6503 and 6508. First we will calculate the prime factors of 6503 and 6508.
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 6508
2 | 6508 |
2 | 3254 |
1627 | 1627 |
1 |
Prime factors of 6508 are 2,1627. Prime factorization of 6508 in exponential form is:
6508 = 22×16271
Now multiplying the highest exponent prime factors to calculate the LCM of 6503 and 6508.
LCM(6503,6508) = 22×71×9291×16271
LCM(6503,6508) = 42321524
Factors of 6503
List of positive integer factors of 6503 that divides 6503 without a remainder.
1, 7, 929, 6503
Factors of 6508
List of positive integer factors of 6508 that divides 6508 without a remainder.
1, 2, 4, 1627, 3254, 6508
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6503 and 6508, than apply into the LCM equation.
GCF(6503,6508) = 1
LCM(6503,6508) = ( 6503 × 6508) / 1
LCM(6503,6508) = 42321524 / 1
LCM(6503,6508) = 42321524
(i) The LCM of 6508 and 6503 is associative
LCM of 6503 and 6508 = LCM of 6508 and 6503
1. What is the LCM of 6503 and 6508?
Answer: LCM of 6503 and 6508 is 42321524.
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 6508?
Answer: Factors of 6508 are 1, 2, 4, 1627, 3254, 6508. There are 6 integers that are factors of 6508. The greatest factor of 6508 is 6508.
4. How to Find the LCM of 6503 and 6508?
Answer:
Least Common Multiple of 6503 and 6508 = 42321524
Step 1: Find the prime factorization of 6503
6503 = 7 x 929
Step 2: Find the prime factorization of 6508
6508 = 2 x 2 x 1627
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42321524 = 2 x 2 x 7 x 929 x 1627
Step 4: Therefore, the least common multiple of 6503 and 6508 is 42321524.