Least Common Multiple of 9532 and 9538

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 9538 the smallest integer that is 45458108 that is divisible by both numbers.

Least Common Multiple (LCM) of 9532 and 9538 is 45458108.

LCM(9532,9538) = 45458108

LCM of 9532 and 9538

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

LCM of:
and

Least Common Multiple of 9532 and 9538

LCM of 9532 and 9538 is 45458108

Least common multiple can be found by multiplying the highest exponent prime factors of 9532 and 9538. First we will calculate the prime factors of 9532 and 9538.

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 9538


2 9538
19 4769
251 251
1

Prime factors of 9538 are 2, 19,251. Prime factorization of 9538 in exponential form is:

9538 = 21×191×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 9532 and 9538.

LCM(9532,9538) = 22×191×2511×23831
LCM(9532,9538) = 45458108

Factors of 9532

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

1, 2, 4, 2383, 4766, 9532

Factors of 9538

List of positive integer factors of 9538 that divides 9538 without a remainder.

1, 2, 19, 38, 251, 502, 4769, 9538

Least Common Multiple of 9532 and 9538 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 9538, than apply into the LCM equation.

GCF(9532,9538) = 2
LCM(9532,9538) = ( 9532 × 9538) / 2
LCM(9532,9538) = 90916216 / 2
LCM(9532,9538) = 45458108

Properties of LCM 9532 and 9538

(i) The LCM of 9538 and 9532 is associative

LCM of 9532 and 9538 = LCM of 9538 and 9532

Related Least Common Multiples of 9532

Related Least Common Multiples of 9538

Frequently Asked Questions on LCM of 9532 and 9538

1. What is the LCM of 9532 and 9538?

Answer: LCM of 9532 and 9538 is 45458108.

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 9538?

Answer: Factors of 9538 are 1, 2, 19, 38, 251, 502, 4769, 9538. There are 8 integers that are factors of 9538. The greatest factor of 9538 is 9538.

4. How to Find the LCM of 9532 and 9538?

Answer:

Least Common Multiple of 9532 and 9538 = 45458108

Step 1: Find the prime factorization of 9532

9532 = 2 x 2 x 2383

Step 2: Find the prime factorization of 9538

9538 = 2 x 19 x 251

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

LCM = 45458108 = 2 x 2 x 19 x 251 x 2383

Step 4: Therefore, the least common multiple of 9532 and 9538 is 45458108.