Least Common Multiple of 9508 and 9513

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 9513 the smallest integer that is 90449604 that is divisible by both numbers.

Least Common Multiple (LCM) of 9508 and 9513 is 90449604.

LCM(9508,9513) = 90449604

LCM of 9508 and 9513

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

LCM of:
and

Least Common Multiple of 9508 and 9513

LCM of 9508 and 9513 is 90449604

Least common multiple can be found by multiplying the highest exponent prime factors of 9508 and 9513. First we will calculate the prime factors of 9508 and 9513.

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 9513


3 9513
3 3171
7 1057
151 151
1

Prime factors of 9513 are 3, 7,151. Prime factorization of 9513 in exponential form is:

9513 = 32×71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 9508 and 9513.

LCM(9508,9513) = 22×32×71×1511×23771
LCM(9508,9513) = 90449604

Factors of 9508

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

1, 2, 4, 2377, 4754, 9508

Factors of 9513

List of positive integer factors of 9513 that divides 9513 without a remainder.

1, 3, 7, 9, 21, 63, 151, 453, 1057, 1359, 3171, 9513

Least Common Multiple of 9508 and 9513 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 9513, than apply into the LCM equation.

GCF(9508,9513) = 1
LCM(9508,9513) = ( 9508 × 9513) / 1
LCM(9508,9513) = 90449604 / 1
LCM(9508,9513) = 90449604

Properties of LCM 9508 and 9513

(i) The LCM of 9513 and 9508 is associative

LCM of 9508 and 9513 = LCM of 9513 and 9508

Related Least Common Multiples of 9508

Related Least Common Multiples of 9513

Frequently Asked Questions on LCM of 9508 and 9513

1. What is the LCM of 9508 and 9513?

Answer: LCM of 9508 and 9513 is 90449604.

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 9513?

Answer: Factors of 9513 are 1, 3, 7, 9, 21, 63, 151, 453, 1057, 1359, 3171, 9513. There are 12 integers that are factors of 9513. The greatest factor of 9513 is 9513.

4. How to Find the LCM of 9508 and 9513?

Answer:

Least Common Multiple of 9508 and 9513 = 90449604

Step 1: Find the prime factorization of 9508

9508 = 2 x 2 x 2377

Step 2: Find the prime factorization of 9513

9513 = 3 x 3 x 7 x 151

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

LCM = 90449604 = 2 x 2 x 3 x 3 x 7 x 151 x 2377

Step 4: Therefore, the least common multiple of 9508 and 9513 is 90449604.