Least Common Multiple of 9500 and 9506

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 9506 the smallest integer that is 45153500 that is divisible by both numbers.

Least Common Multiple (LCM) of 9500 and 9506 is 45153500.

LCM(9500,9506) = 45153500

LCM of 9500 and 9506

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

LCM of:
and

Least Common Multiple of 9500 and 9506

LCM of 9500 and 9506 is 45153500

Least common multiple can be found by multiplying the highest exponent prime factors of 9500 and 9506. First we will calculate the prime factors of 9500 and 9506.

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 9506


2 9506
7 4753
7 679
97 97
1

Prime factors of 9506 are 2, 7,97. Prime factorization of 9506 in exponential form is:

9506 = 21×72×971

Now multiplying the highest exponent prime factors to calculate the LCM of 9500 and 9506.

LCM(9500,9506) = 22×53×72×191×971
LCM(9500,9506) = 45153500

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 9506

List of positive integer factors of 9506 that divides 9506 without a remainder.

1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506

Least Common Multiple of 9500 and 9506 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 9506, than apply into the LCM equation.

GCF(9500,9506) = 2
LCM(9500,9506) = ( 9500 × 9506) / 2
LCM(9500,9506) = 90307000 / 2
LCM(9500,9506) = 45153500

Properties of LCM 9500 and 9506

(i) The LCM of 9506 and 9500 is associative

LCM of 9500 and 9506 = LCM of 9506 and 9500

Related Least Common Multiples of 9500

Related Least Common Multiples of 9506

Frequently Asked Questions on LCM of 9500 and 9506

1. What is the LCM of 9500 and 9506?

Answer: LCM of 9500 and 9506 is 45153500.

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 9506?

Answer: Factors of 9506 are 1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506. There are 12 integers that are factors of 9506. The greatest factor of 9506 is 9506.

4. How to Find the LCM of 9500 and 9506?

Answer:

Least Common Multiple of 9500 and 9506 = 45153500

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 9506

9506 = 2 x 7 x 7 x 97

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

LCM = 45153500 = 2 x 2 x 5 x 5 x 5 x 7 x 7 x 19 x 97

Step 4: Therefore, the least common multiple of 9500 and 9506 is 45153500.