Least Common Multiple of 9534 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 9534 and 9538 the smallest integer that is 45467646 that is divisible by both numbers.

Least Common Multiple (LCM) of 9534 and 9538 is 45467646.

LCM(9534,9538) = 45467646

LCM of 9534 and 9538

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

LCM of:
and

Least Common Multiple of 9534 and 9538

LCM of 9534 and 9538 is 45467646

Least common multiple can be found by multiplying the highest exponent prime factors of 9534 and 9538. First we will calculate the prime factors of 9534 and 9538.

Prime Factorization of 9534


2 9534
3 4767
7 1589
227 227
1

Prime factors of 9534 are 2, 3, 7,227. Prime factorization of 9534 in exponential form is:

9534 = 21×31×71×2271

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 9534 and 9538.

LCM(9534,9538) = 21×31×71×191×2271×2511
LCM(9534,9538) = 45467646

Factors of 9534

List of positive integer factors of 9534 that divides 9534 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 227, 454, 681, 1362, 1589, 3178, 4767, 9534

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 9534 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 9534 and 9538, than apply into the LCM equation.

GCF(9534,9538) = 2
LCM(9534,9538) = ( 9534 × 9538) / 2
LCM(9534,9538) = 90935292 / 2
LCM(9534,9538) = 45467646

Properties of LCM 9534 and 9538

(i) The LCM of 9538 and 9534 is associative

LCM of 9534 and 9538 = LCM of 9538 and 9534

Related Least Common Multiples of 9534

Related Least Common Multiples of 9538

Frequently Asked Questions on LCM of 9534 and 9538

1. What is the LCM of 9534 and 9538?

Answer: LCM of 9534 and 9538 is 45467646.

2. What are the Factors of 9534?

Answer: Factors of 9534 are 1, 2, 3, 6, 7, 14, 21, 42, 227, 454, 681, 1362, 1589, 3178, 4767, 9534. There are 16 integers that are factors of 9534. The greatest factor of 9534 is 9534.

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 9534 and 9538?

Answer:

Least Common Multiple of 9534 and 9538 = 45467646

Step 1: Find the prime factorization of 9534

9534 = 2 x 3 x 7 x 227

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 = 45467646 = 2 x 3 x 7 x 19 x 227 x 251

Step 4: Therefore, the least common multiple of 9534 and 9538 is 45467646.