Least Common Multiple of 9548 and 9555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9548 and 9555 the smallest integer that is 13033020 that is divisible by both numbers.

Least Common Multiple (LCM) of 9548 and 9555 is 13033020.

LCM(9548,9555) = 13033020

LCM of 9548 and 9555

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

LCM of:
and

Least Common Multiple of 9548 and 9555

LCM of 9548 and 9555 is 13033020

Least common multiple can be found by multiplying the highest exponent prime factors of 9548 and 9555. First we will calculate the prime factors of 9548 and 9555.

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

Prime Factorization of 9555


3 9555
5 3185
7 637
7 91
13 13
1

Prime factors of 9555 are 3, 5, 7,13. Prime factorization of 9555 in exponential form is:

9555 = 31×51×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 9548 and 9555.

LCM(9548,9555) = 22×31×51×72×111×131×311
LCM(9548,9555) = 13033020

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

Factors of 9555

List of positive integer factors of 9555 that divides 9555 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185, 9555

Least Common Multiple of 9548 and 9555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9548 and 9555, than apply into the LCM equation.

GCF(9548,9555) = 7
LCM(9548,9555) = ( 9548 × 9555) / 7
LCM(9548,9555) = 91231140 / 7
LCM(9548,9555) = 13033020

Properties of LCM 9548 and 9555

(i) The LCM of 9555 and 9548 is associative

LCM of 9548 and 9555 = LCM of 9555 and 9548

Related Least Common Multiples of 9548

Related Least Common Multiples of 9555

Frequently Asked Questions on LCM of 9548 and 9555

1. What is the LCM of 9548 and 9555?

Answer: LCM of 9548 and 9555 is 13033020.

2. 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.

3. What are the Factors of 9555?

Answer: Factors of 9555 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185, 9555. There are 24 integers that are factors of 9555. The greatest factor of 9555 is 9555.

4. How to Find the LCM of 9548 and 9555?

Answer:

Least Common Multiple of 9548 and 9555 = 13033020

Step 1: Find the prime factorization of 9548

9548 = 2 x 2 x 7 x 11 x 31

Step 2: Find the prime factorization of 9555

9555 = 3 x 5 x 7 x 7 x 13

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

LCM = 13033020 = 2 x 2 x 3 x 5 x 7 x 7 x 11 x 13 x 31

Step 4: Therefore, the least common multiple of 9548 and 9555 is 13033020.