Least Common Multiple of 9508 and 9512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9508 and 9512 the smallest integer that is 22610024 that is divisible by both numbers.

Least Common Multiple (LCM) of 9508 and 9512 is 22610024.

LCM(9508,9512) = 22610024

LCM of 9508 and 9512

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

LCM of:
and

Least Common Multiple of 9508 and 9512

LCM of 9508 and 9512 is 22610024

Least common multiple can be found by multiplying the highest exponent prime factors of 9508 and 9512. First we will calculate the prime factors of 9508 and 9512.

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

Prime Factorization of 9512


2 9512
2 4756
2 2378
29 1189
41 41
1

Prime factors of 9512 are 2, 29,41. Prime factorization of 9512 in exponential form is:

9512 = 23×291×411

Now multiplying the highest exponent prime factors to calculate the LCM of 9508 and 9512.

LCM(9508,9512) = 23×291×411×23771
LCM(9508,9512) = 22610024

Factors of 9508

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

1, 2, 4, 2377, 4754, 9508

Factors of 9512

List of positive integer factors of 9512 that divides 9512 without a remainder.

1, 2, 4, 8, 29, 41, 58, 82, 116, 164, 232, 328, 1189, 2378, 4756, 9512

Least Common Multiple of 9508 and 9512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9508 and 9512, than apply into the LCM equation.

GCF(9508,9512) = 4
LCM(9508,9512) = ( 9508 × 9512) / 4
LCM(9508,9512) = 90440096 / 4
LCM(9508,9512) = 22610024

Properties of LCM 9508 and 9512

(i) The LCM of 9512 and 9508 is associative

LCM of 9508 and 9512 = LCM of 9512 and 9508

Related Least Common Multiples of 9508

Related Least Common Multiples of 9512

Frequently Asked Questions on LCM of 9508 and 9512

1. What is the LCM of 9508 and 9512?

Answer: LCM of 9508 and 9512 is 22610024.

2. 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.

3. What are the Factors of 9512?

Answer: Factors of 9512 are 1, 2, 4, 8, 29, 41, 58, 82, 116, 164, 232, 328, 1189, 2378, 4756, 9512. There are 16 integers that are factors of 9512. The greatest factor of 9512 is 9512.

4. How to Find the LCM of 9508 and 9512?

Answer:

Least Common Multiple of 9508 and 9512 = 22610024

Step 1: Find the prime factorization of 9508

9508 = 2 x 2 x 2377

Step 2: Find the prime factorization of 9512

9512 = 2 x 2 x 2 x 29 x 41

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

LCM = 22610024 = 2 x 2 x 2 x 29 x 41 x 2377

Step 4: Therefore, the least common multiple of 9508 and 9512 is 22610024.