Least Common Multiple of 9536 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 9536 and 9542 the smallest integer that is 45496256 that is divisible by both numbers.

Least Common Multiple (LCM) of 9536 and 9542 is 45496256.

LCM(9536,9542) = 45496256

LCM of 9536 and 9542

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

LCM of:
and

Least Common Multiple of 9536 and 9542

LCM of 9536 and 9542 is 45496256

Least common multiple can be found by multiplying the highest exponent prime factors of 9536 and 9542. First we will calculate the prime factors of 9536 and 9542.

Prime Factorization of 9536


2 9536
2 4768
2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 9536 are 2,149. Prime factorization of 9536 in exponential form is:

9536 = 26×1491

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 9536 and 9542.

LCM(9536,9542) = 26×131×1491×3671
LCM(9536,9542) = 45496256

Factors of 9536

List of positive integer factors of 9536 that divides 9536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536

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 9536 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 9536 and 9542, than apply into the LCM equation.

GCF(9536,9542) = 2
LCM(9536,9542) = ( 9536 × 9542) / 2
LCM(9536,9542) = 90992512 / 2
LCM(9536,9542) = 45496256

Properties of LCM 9536 and 9542

(i) The LCM of 9542 and 9536 is associative

LCM of 9536 and 9542 = LCM of 9542 and 9536

Related Least Common Multiples of 9536

Related Least Common Multiples of 9542

Frequently Asked Questions on LCM of 9536 and 9542

1. What is the LCM of 9536 and 9542?

Answer: LCM of 9536 and 9542 is 45496256.

2. What are the Factors of 9536?

Answer: Factors of 9536 are 1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536. There are 14 integers that are factors of 9536. The greatest factor of 9536 is 9536.

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 9536 and 9542?

Answer:

Least Common Multiple of 9536 and 9542 = 45496256

Step 1: Find the prime factorization of 9536

9536 = 2 x 2 x 2 x 2 x 2 x 2 x 149

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 = 45496256 = 2 x 2 x 2 x 2 x 2 x 2 x 13 x 149 x 367

Step 4: Therefore, the least common multiple of 9536 and 9542 is 45496256.