Least Common Multiple of 9516 and 9524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9516 and 9524 the smallest integer that is 22657596 that is divisible by both numbers.

Least Common Multiple (LCM) of 9516 and 9524 is 22657596.

LCM(9516,9524) = 22657596

LCM of 9516 and 9524

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

LCM of:
and

Least Common Multiple of 9516 and 9524

LCM of 9516 and 9524 is 22657596

Least common multiple can be found by multiplying the highest exponent prime factors of 9516 and 9524. First we will calculate the prime factors of 9516 and 9524.

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

Prime Factorization of 9524


2 9524
2 4762
2381 2381
1

Prime factors of 9524 are 2,2381. Prime factorization of 9524 in exponential form is:

9524 = 22×23811

Now multiplying the highest exponent prime factors to calculate the LCM of 9516 and 9524.

LCM(9516,9524) = 22×31×131×611×23811
LCM(9516,9524) = 22657596

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

Factors of 9524

List of positive integer factors of 9524 that divides 9524 without a remainder.

1, 2, 4, 2381, 4762, 9524

Least Common Multiple of 9516 and 9524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9516 and 9524, than apply into the LCM equation.

GCF(9516,9524) = 4
LCM(9516,9524) = ( 9516 × 9524) / 4
LCM(9516,9524) = 90630384 / 4
LCM(9516,9524) = 22657596

Properties of LCM 9516 and 9524

(i) The LCM of 9524 and 9516 is associative

LCM of 9516 and 9524 = LCM of 9524 and 9516

Related Least Common Multiples of 9516

Related Least Common Multiples of 9524

Frequently Asked Questions on LCM of 9516 and 9524

1. What is the LCM of 9516 and 9524?

Answer: LCM of 9516 and 9524 is 22657596.

2. 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.

3. What are the Factors of 9524?

Answer: Factors of 9524 are 1, 2, 4, 2381, 4762, 9524. There are 6 integers that are factors of 9524. The greatest factor of 9524 is 9524.

4. How to Find the LCM of 9516 and 9524?

Answer:

Least Common Multiple of 9516 and 9524 = 22657596

Step 1: Find the prime factorization of 9516

9516 = 2 x 2 x 3 x 13 x 61

Step 2: Find the prime factorization of 9524

9524 = 2 x 2 x 2381

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

LCM = 22657596 = 2 x 2 x 3 x 13 x 61 x 2381

Step 4: Therefore, the least common multiple of 9516 and 9524 is 22657596.