Least Common Multiple of 9508 and 9516

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 9516 the smallest integer that is 22619532 that is divisible by both numbers.

Least Common Multiple (LCM) of 9508 and 9516 is 22619532.

LCM(9508,9516) = 22619532

LCM of 9508 and 9516

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

LCM of:
and

Least Common Multiple of 9508 and 9516

LCM of 9508 and 9516 is 22619532

Least common multiple can be found by multiplying the highest exponent prime factors of 9508 and 9516. First we will calculate the prime factors of 9508 and 9516.

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 9516


2 9516
2 4758
3 2379
13 793
61 61
1

Prime factors of 9516 are 2, 3, 13,61. Prime factorization of 9516 in exponential form is:

9516 = 22×31×131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9508 and 9516.

LCM(9508,9516) = 22×31×131×611×23771
LCM(9508,9516) = 22619532

Factors of 9508

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

1, 2, 4, 2377, 4754, 9508

Factors of 9516

List of positive integer factors of 9516 that divides 9516 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 61, 78, 122, 156, 183, 244, 366, 732, 793, 1586, 2379, 3172, 4758, 9516

Least Common Multiple of 9508 and 9516 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 9516, than apply into the LCM equation.

GCF(9508,9516) = 4
LCM(9508,9516) = ( 9508 × 9516) / 4
LCM(9508,9516) = 90478128 / 4
LCM(9508,9516) = 22619532

Properties of LCM 9508 and 9516

(i) The LCM of 9516 and 9508 is associative

LCM of 9508 and 9516 = LCM of 9516 and 9508

Related Least Common Multiples of 9508

Related Least Common Multiples of 9516

Frequently Asked Questions on LCM of 9508 and 9516

1. What is the LCM of 9508 and 9516?

Answer: LCM of 9508 and 9516 is 22619532.

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 9516?

Answer: Factors of 9516 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 61, 78, 122, 156, 183, 244, 366, 732, 793, 1586, 2379, 3172, 4758, 9516. There are 24 integers that are factors of 9516. The greatest factor of 9516 is 9516.

4. How to Find the LCM of 9508 and 9516?

Answer:

Least Common Multiple of 9508 and 9516 = 22619532

Step 1: Find the prime factorization of 9508

9508 = 2 x 2 x 2377

Step 2: Find the prime factorization of 9516

9516 = 2 x 2 x 3 x 13 x 61

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

LCM = 22619532 = 2 x 2 x 3 x 13 x 61 x 2377

Step 4: Therefore, the least common multiple of 9508 and 9516 is 22619532.