Least Common Multiple of 9500 and 9507

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 9507 the smallest integer that is 90316500 that is divisible by both numbers.

Least Common Multiple (LCM) of 9500 and 9507 is 90316500.

LCM(9500,9507) = 90316500

LCM of 9500 and 9507

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

LCM of:
and

Least Common Multiple of 9500 and 9507

LCM of 9500 and 9507 is 90316500

Least common multiple can be found by multiplying the highest exponent prime factors of 9500 and 9507. First we will calculate the prime factors of 9500 and 9507.

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 9507


3 9507
3169 3169
1

Prime factors of 9507 are 3,3169. Prime factorization of 9507 in exponential form is:

9507 = 31×31691

Now multiplying the highest exponent prime factors to calculate the LCM of 9500 and 9507.

LCM(9500,9507) = 22×31×53×191×31691
LCM(9500,9507) = 90316500

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 9507

List of positive integer factors of 9507 that divides 9507 without a remainder.

1, 3, 3169, 9507

Least Common Multiple of 9500 and 9507 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 9507, than apply into the LCM equation.

GCF(9500,9507) = 1
LCM(9500,9507) = ( 9500 × 9507) / 1
LCM(9500,9507) = 90316500 / 1
LCM(9500,9507) = 90316500

Properties of LCM 9500 and 9507

(i) The LCM of 9507 and 9500 is associative

LCM of 9500 and 9507 = LCM of 9507 and 9500

Related Least Common Multiples of 9500

Related Least Common Multiples of 9507

Frequently Asked Questions on LCM of 9500 and 9507

1. What is the LCM of 9500 and 9507?

Answer: LCM of 9500 and 9507 is 90316500.

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 9507?

Answer: Factors of 9507 are 1, 3, 3169, 9507. There are 4 integers that are factors of 9507. The greatest factor of 9507 is 9507.

4. How to Find the LCM of 9500 and 9507?

Answer:

Least Common Multiple of 9500 and 9507 = 90316500

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 9507

9507 = 3 x 3169

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

LCM = 90316500 = 2 x 2 x 3 x 5 x 5 x 5 x 19 x 3169

Step 4: Therefore, the least common multiple of 9500 and 9507 is 90316500.