Least Common Multiple of 9534 and 9542

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 9542 the smallest integer that is 45486714 that is divisible by both numbers.

Least Common Multiple (LCM) of 9534 and 9542 is 45486714.

LCM(9534,9542) = 45486714

LCM of 9534 and 9542

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

LCM of:
and

Least Common Multiple of 9534 and 9542

LCM of 9534 and 9542 is 45486714

Least common multiple can be found by multiplying the highest exponent prime factors of 9534 and 9542. First we will calculate the prime factors of 9534 and 9542.

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 9542


2 9542
13 4771
367 367
1

Prime factors of 9542 are 2, 13,367. Prime factorization of 9542 in exponential form is:

9542 = 21×131×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 9534 and 9542.

LCM(9534,9542) = 21×31×71×131×2271×3671
LCM(9534,9542) = 45486714

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 9542

List of positive integer factors of 9542 that divides 9542 without a remainder.

1, 2, 13, 26, 367, 734, 4771, 9542

Least Common Multiple of 9534 and 9542 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 9542, than apply into the LCM equation.

GCF(9534,9542) = 2
LCM(9534,9542) = ( 9534 × 9542) / 2
LCM(9534,9542) = 90973428 / 2
LCM(9534,9542) = 45486714

Properties of LCM 9534 and 9542

(i) The LCM of 9542 and 9534 is associative

LCM of 9534 and 9542 = LCM of 9542 and 9534

Related Least Common Multiples of 9534

Related Least Common Multiples of 9542

Frequently Asked Questions on LCM of 9534 and 9542

1. What is the LCM of 9534 and 9542?

Answer: LCM of 9534 and 9542 is 45486714.

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 9542?

Answer: Factors of 9542 are 1, 2, 13, 26, 367, 734, 4771, 9542. There are 8 integers that are factors of 9542. The greatest factor of 9542 is 9542.

4. How to Find the LCM of 9534 and 9542?

Answer:

Least Common Multiple of 9534 and 9542 = 45486714

Step 1: Find the prime factorization of 9534

9534 = 2 x 3 x 7 x 227

Step 2: Find the prime factorization of 9542

9542 = 2 x 13 x 367

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

LCM = 45486714 = 2 x 3 x 7 x 13 x 227 x 367

Step 4: Therefore, the least common multiple of 9534 and 9542 is 45486714.