Least Common Multiple of 9532 and 9537

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 9537 the smallest integer that is 90906684 that is divisible by both numbers.

Least Common Multiple (LCM) of 9532 and 9537 is 90906684.

LCM(9532,9537) = 90906684

LCM of 9532 and 9537

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

LCM of:
and

Least Common Multiple of 9532 and 9537

LCM of 9532 and 9537 is 90906684

Least common multiple can be found by multiplying the highest exponent prime factors of 9532 and 9537. First we will calculate the prime factors of 9532 and 9537.

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 9537


3 9537
11 3179
17 289
17 17
1

Prime factors of 9537 are 3, 11,17. Prime factorization of 9537 in exponential form is:

9537 = 31×111×172

Now multiplying the highest exponent prime factors to calculate the LCM of 9532 and 9537.

LCM(9532,9537) = 22×31×111×172×23831
LCM(9532,9537) = 90906684

Factors of 9532

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

1, 2, 4, 2383, 4766, 9532

Factors of 9537

List of positive integer factors of 9537 that divides 9537 without a remainder.

1, 3, 11, 17, 33, 51, 187, 289, 561, 867, 3179, 9537

Least Common Multiple of 9532 and 9537 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 9537, than apply into the LCM equation.

GCF(9532,9537) = 1
LCM(9532,9537) = ( 9532 × 9537) / 1
LCM(9532,9537) = 90906684 / 1
LCM(9532,9537) = 90906684

Properties of LCM 9532 and 9537

(i) The LCM of 9537 and 9532 is associative

LCM of 9532 and 9537 = LCM of 9537 and 9532

Related Least Common Multiples of 9532

Related Least Common Multiples of 9537

Frequently Asked Questions on LCM of 9532 and 9537

1. What is the LCM of 9532 and 9537?

Answer: LCM of 9532 and 9537 is 90906684.

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 9537?

Answer: Factors of 9537 are 1, 3, 11, 17, 33, 51, 187, 289, 561, 867, 3179, 9537. There are 12 integers that are factors of 9537. The greatest factor of 9537 is 9537.

4. How to Find the LCM of 9532 and 9537?

Answer:

Least Common Multiple of 9532 and 9537 = 90906684

Step 1: Find the prime factorization of 9532

9532 = 2 x 2 x 2383

Step 2: Find the prime factorization of 9537

9537 = 3 x 11 x 17 x 17

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

LCM = 90906684 = 2 x 2 x 3 x 11 x 17 x 17 x 2383

Step 4: Therefore, the least common multiple of 9532 and 9537 is 90906684.