Least Common Multiple of 9531 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 9531 and 9538 the smallest integer that is 90906678 that is divisible by both numbers.

Least Common Multiple (LCM) of 9531 and 9538 is 90906678.

LCM(9531,9538) = 90906678

LCM of 9531 and 9538

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

LCM of:
and

Least Common Multiple of 9531 and 9538

LCM of 9531 and 9538 is 90906678

Least common multiple can be found by multiplying the highest exponent prime factors of 9531 and 9538. First we will calculate the prime factors of 9531 and 9538.

Prime Factorization of 9531


3 9531
3 3177
3 1059
353 353
1

Prime factors of 9531 are 3,353. Prime factorization of 9531 in exponential form is:

9531 = 33×3531

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 9531 and 9538.

LCM(9531,9538) = 21×33×191×2511×3531
LCM(9531,9538) = 90906678

Factors of 9531

List of positive integer factors of 9531 that divides 9531 without a remainder.

1, 3, 9, 27, 353, 1059, 3177, 9531

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 9531 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 9531 and 9538, than apply into the LCM equation.

GCF(9531,9538) = 1
LCM(9531,9538) = ( 9531 × 9538) / 1
LCM(9531,9538) = 90906678 / 1
LCM(9531,9538) = 90906678

Properties of LCM 9531 and 9538

(i) The LCM of 9538 and 9531 is associative

LCM of 9531 and 9538 = LCM of 9538 and 9531

Related Least Common Multiples of 9531

Related Least Common Multiples of 9538

Frequently Asked Questions on LCM of 9531 and 9538

1. What is the LCM of 9531 and 9538?

Answer: LCM of 9531 and 9538 is 90906678.

2. What are the Factors of 9531?

Answer: Factors of 9531 are 1, 3, 9, 27, 353, 1059, 3177, 9531. There are 8 integers that are factors of 9531. The greatest factor of 9531 is 9531.

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 9531 and 9538?

Answer:

Least Common Multiple of 9531 and 9538 = 90906678

Step 1: Find the prime factorization of 9531

9531 = 3 x 3 x 3 x 353

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 = 90906678 = 2 x 3 x 3 x 3 x 19 x 251 x 353

Step 4: Therefore, the least common multiple of 9531 and 9538 is 90906678.