Least Common Multiple of 9542 and 9548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9542 and 9548 the smallest integer that is 45553508 that is divisible by both numbers.

Least Common Multiple (LCM) of 9542 and 9548 is 45553508.

LCM(9542,9548) = 45553508

LCM of 9542 and 9548

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

LCM of:
and

Least Common Multiple of 9542 and 9548

LCM of 9542 and 9548 is 45553508

Least common multiple can be found by multiplying the highest exponent prime factors of 9542 and 9548. First we will calculate the prime factors of 9542 and 9548.

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

Prime Factorization of 9548


2 9548
2 4774
7 2387
11 341
31 31
1

Prime factors of 9548 are 2, 7, 11,31. Prime factorization of 9548 in exponential form is:

9548 = 22×71×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 9542 and 9548.

LCM(9542,9548) = 22×71×111×131×311×3671
LCM(9542,9548) = 45553508

Factors of 9542

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

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

Factors of 9548

List of positive integer factors of 9548 that divides 9548 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774, 9548

Least Common Multiple of 9542 and 9548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9542 and 9548, than apply into the LCM equation.

GCF(9542,9548) = 2
LCM(9542,9548) = ( 9542 × 9548) / 2
LCM(9542,9548) = 91107016 / 2
LCM(9542,9548) = 45553508

Properties of LCM 9542 and 9548

(i) The LCM of 9548 and 9542 is associative

LCM of 9542 and 9548 = LCM of 9548 and 9542

Related Least Common Multiples of 9542

Related Least Common Multiples of 9548

Frequently Asked Questions on LCM of 9542 and 9548

1. What is the LCM of 9542 and 9548?

Answer: LCM of 9542 and 9548 is 45553508.

2. 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.

3. What are the Factors of 9548?

Answer: Factors of 9548 are 1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774, 9548. There are 24 integers that are factors of 9548. The greatest factor of 9548 is 9548.

4. How to Find the LCM of 9542 and 9548?

Answer:

Least Common Multiple of 9542 and 9548 = 45553508

Step 1: Find the prime factorization of 9542

9542 = 2 x 13 x 367

Step 2: Find the prime factorization of 9548

9548 = 2 x 2 x 7 x 11 x 31

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

LCM = 45553508 = 2 x 2 x 7 x 11 x 13 x 31 x 367

Step 4: Therefore, the least common multiple of 9542 and 9548 is 45553508.