Least Common Multiple of 6500 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 6500 and 6508 the smallest integer that is 10575500 that is divisible by both numbers.

Least Common Multiple (LCM) of 6500 and 6508 is 10575500.

LCM(6500,6508) = 10575500

LCM of 6500 and 6508

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

LCM of:
and

Least Common Multiple of 6500 and 6508

LCM of 6500 and 6508 is 10575500

Least common multiple can be found by multiplying the highest exponent prime factors of 6500 and 6508. First we will calculate the prime factors of 6500 and 6508.

Prime Factorization of 6500


2 6500
2 3250
5 1625
5 325
5 65
13 13
1

Prime factors of 6500 are 2, 5,13. Prime factorization of 6500 in exponential form is:

6500 = 22×53×131

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 6500 and 6508.

LCM(6500,6508) = 22×53×131×16271
LCM(6500,6508) = 10575500

Factors of 6500

List of positive integer factors of 6500 that divides 6500 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500

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 6500 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 6500 and 6508, than apply into the LCM equation.

GCF(6500,6508) = 4
LCM(6500,6508) = ( 6500 × 6508) / 4
LCM(6500,6508) = 42302000 / 4
LCM(6500,6508) = 10575500

Properties of LCM 6500 and 6508

(i) The LCM of 6508 and 6500 is associative

LCM of 6500 and 6508 = LCM of 6508 and 6500

Related Least Common Multiples of 6500

Related Least Common Multiples of 6508

Frequently Asked Questions on LCM of 6500 and 6508

1. What is the LCM of 6500 and 6508?

Answer: LCM of 6500 and 6508 is 10575500.

2. What are the Factors of 6500?

Answer: Factors of 6500 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500. There are 24 integers that are factors of 6500. The greatest factor of 6500 is 6500.

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 6500 and 6508?

Answer:

Least Common Multiple of 6500 and 6508 = 10575500

Step 1: Find the prime factorization of 6500

6500 = 2 x 2 x 5 x 5 x 5 x 13

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 = 10575500 = 2 x 2 x 5 x 5 x 5 x 13 x 1627

Step 4: Therefore, the least common multiple of 6500 and 6508 is 10575500.