Least Common Multiple of 9500 and 9508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9500 and 9508 the smallest integer that is 22581500 that is divisible by both numbers.

Least Common Multiple (LCM) of 9500 and 9508 is 22581500.

LCM(9500,9508) = 22581500

LCM of 9500 and 9508

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

LCM of:
and

Least Common Multiple of 9500 and 9508

LCM of 9500 and 9508 is 22581500

Least common multiple can be found by multiplying the highest exponent prime factors of 9500 and 9508. First we will calculate the prime factors of 9500 and 9508.

Prime Factorization of 9500


2 9500
2 4750
5 2375
5 475
5 95
19 19
1

Prime factors of 9500 are 2, 5,19. Prime factorization of 9500 in exponential form is:

9500 = 22×53×191

Prime Factorization of 9508


2 9508
2 4754
2377 2377
1

Prime factors of 9508 are 2,2377. Prime factorization of 9508 in exponential form is:

9508 = 22×23771

Now multiplying the highest exponent prime factors to calculate the LCM of 9500 and 9508.

LCM(9500,9508) = 22×53×191×23771
LCM(9500,9508) = 22581500

Factors of 9500

List of positive integer factors of 9500 that divides 9500 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500

Factors of 9508

List of positive integer factors of 9508 that divides 9508 without a remainder.

1, 2, 4, 2377, 4754, 9508

Least Common Multiple of 9500 and 9508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9500 and 9508, than apply into the LCM equation.

GCF(9500,9508) = 4
LCM(9500,9508) = ( 9500 × 9508) / 4
LCM(9500,9508) = 90326000 / 4
LCM(9500,9508) = 22581500

Properties of LCM 9500 and 9508

(i) The LCM of 9508 and 9500 is associative

LCM of 9500 and 9508 = LCM of 9508 and 9500

Related Least Common Multiples of 9500

Related Least Common Multiples of 9508

Frequently Asked Questions on LCM of 9500 and 9508

1. What is the LCM of 9500 and 9508?

Answer: LCM of 9500 and 9508 is 22581500.

2. What are the Factors of 9500?

Answer: Factors of 9500 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500. There are 24 integers that are factors of 9500. The greatest factor of 9500 is 9500.

3. What are the Factors of 9508?

Answer: Factors of 9508 are 1, 2, 4, 2377, 4754, 9508. There are 6 integers that are factors of 9508. The greatest factor of 9508 is 9508.

4. How to Find the LCM of 9500 and 9508?

Answer:

Least Common Multiple of 9500 and 9508 = 22581500

Step 1: Find the prime factorization of 9500

9500 = 2 x 2 x 5 x 5 x 5 x 19

Step 2: Find the prime factorization of 9508

9508 = 2 x 2 x 2377

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 22581500 = 2 x 2 x 5 x 5 x 5 x 19 x 2377

Step 4: Therefore, the least common multiple of 9500 and 9508 is 22581500.