Least Common Multiple of 9532 and 9540

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 9540 the smallest integer that is 22733820 that is divisible by both numbers.

Least Common Multiple (LCM) of 9532 and 9540 is 22733820.

LCM(9532,9540) = 22733820

LCM of 9532 and 9540

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

LCM of:
and

Least Common Multiple of 9532 and 9540

LCM of 9532 and 9540 is 22733820

Least common multiple can be found by multiplying the highest exponent prime factors of 9532 and 9540. First we will calculate the prime factors of 9532 and 9540.

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 9540


2 9540
2 4770
3 2385
3 795
5 265
53 53
1

Prime factors of 9540 are 2, 3, 5,53. Prime factorization of 9540 in exponential form is:

9540 = 22×32×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9532 and 9540.

LCM(9532,9540) = 22×32×51×531×23831
LCM(9532,9540) = 22733820

Factors of 9532

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

1, 2, 4, 2383, 4766, 9532

Factors of 9540

List of positive integer factors of 9540 that divides 9540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770, 9540

Least Common Multiple of 9532 and 9540 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 9540, than apply into the LCM equation.

GCF(9532,9540) = 4
LCM(9532,9540) = ( 9532 × 9540) / 4
LCM(9532,9540) = 90935280 / 4
LCM(9532,9540) = 22733820

Properties of LCM 9532 and 9540

(i) The LCM of 9540 and 9532 is associative

LCM of 9532 and 9540 = LCM of 9540 and 9532

Related Least Common Multiples of 9532

Related Least Common Multiples of 9540

Frequently Asked Questions on LCM of 9532 and 9540

1. What is the LCM of 9532 and 9540?

Answer: LCM of 9532 and 9540 is 22733820.

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 9540?

Answer: Factors of 9540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770, 9540. There are 36 integers that are factors of 9540. The greatest factor of 9540 is 9540.

4. How to Find the LCM of 9532 and 9540?

Answer:

Least Common Multiple of 9532 and 9540 = 22733820

Step 1: Find the prime factorization of 9532

9532 = 2 x 2 x 2383

Step 2: Find the prime factorization of 9540

9540 = 2 x 2 x 3 x 3 x 5 x 53

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

LCM = 22733820 = 2 x 2 x 3 x 3 x 5 x 53 x 2383

Step 4: Therefore, the least common multiple of 9532 and 9540 is 22733820.