Least Common Multiple of 9532 and 9536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9532 and 9536 the smallest integer that is 22724288 that is divisible by both numbers.

Least Common Multiple (LCM) of 9532 and 9536 is 22724288.

LCM(9532,9536) = 22724288

LCM of 9532 and 9536

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

LCM of:
and

Least Common Multiple of 9532 and 9536

LCM of 9532 and 9536 is 22724288

Least common multiple can be found by multiplying the highest exponent prime factors of 9532 and 9536. First we will calculate the prime factors of 9532 and 9536.

Prime Factorization of 9532


2 9532
2 4766
2383 2383
1

Prime factors of 9532 are 2,2383. Prime factorization of 9532 in exponential form is:

9532 = 22×23831

Prime Factorization of 9536


2 9536
2 4768
2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 9536 are 2,149. Prime factorization of 9536 in exponential form is:

9536 = 26×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 9532 and 9536.

LCM(9532,9536) = 26×1491×23831
LCM(9532,9536) = 22724288

Factors of 9532

List of positive integer factors of 9532 that divides 9532 without a remainder.

1, 2, 4, 2383, 4766, 9532

Factors of 9536

List of positive integer factors of 9536 that divides 9536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536

Least Common Multiple of 9532 and 9536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9532 and 9536, than apply into the LCM equation.

GCF(9532,9536) = 4
LCM(9532,9536) = ( 9532 × 9536) / 4
LCM(9532,9536) = 90897152 / 4
LCM(9532,9536) = 22724288

Properties of LCM 9532 and 9536

(i) The LCM of 9536 and 9532 is associative

LCM of 9532 and 9536 = LCM of 9536 and 9532

Related Least Common Multiples of 9532

Related Least Common Multiples of 9536

Frequently Asked Questions on LCM of 9532 and 9536

1. What is the LCM of 9532 and 9536?

Answer: LCM of 9532 and 9536 is 22724288.

2. What are the Factors of 9532?

Answer: Factors of 9532 are 1, 2, 4, 2383, 4766, 9532. There are 6 integers that are factors of 9532. The greatest factor of 9532 is 9532.

3. What are the Factors of 9536?

Answer: Factors of 9536 are 1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536. There are 14 integers that are factors of 9536. The greatest factor of 9536 is 9536.

4. How to Find the LCM of 9532 and 9536?

Answer:

Least Common Multiple of 9532 and 9536 = 22724288

Step 1: Find the prime factorization of 9532

9532 = 2 x 2 x 2383

Step 2: Find the prime factorization of 9536

9536 = 2 x 2 x 2 x 2 x 2 x 2 x 149

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

LCM = 22724288 = 2 x 2 x 2 x 2 x 2 x 2 x 149 x 2383

Step 4: Therefore, the least common multiple of 9532 and 9536 is 22724288.