Least Common Multiple of 6503 and 6508

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

LCM of 6503 and 6508

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6503 and 6508

LCM of 6503 and 6508 is 42321524

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

Least Common Multiple of 6503 and 6508 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 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

Properties of LCM 6503 and 6508

(i) The LCM of 6508 and 6503 is associative

LCM of 6503 and 6508 = LCM of 6508 and 6503

Frequently Asked Questions on LCM of 6503 and 6508

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.