Least Common Multiple of 9548 and 9554

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 9554 the smallest integer that is 45610796 that is divisible by both numbers.

Least Common Multiple (LCM) of 9548 and 9554 is 45610796.

LCM(9548,9554) = 45610796

LCM of 9548 and 9554

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

LCM of:
and

Least Common Multiple of 9548 and 9554

LCM of 9548 and 9554 is 45610796

Least common multiple can be found by multiplying the highest exponent prime factors of 9548 and 9554. First we will calculate the prime factors of 9548 and 9554.

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 9554


2 9554
17 4777
281 281
1

Prime factors of 9554 are 2, 17,281. Prime factorization of 9554 in exponential form is:

9554 = 21×171×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 9548 and 9554.

LCM(9548,9554) = 22×71×111×171×311×2811
LCM(9548,9554) = 45610796

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 9554

List of positive integer factors of 9554 that divides 9554 without a remainder.

1, 2, 17, 34, 281, 562, 4777, 9554

Least Common Multiple of 9548 and 9554 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 9554, than apply into the LCM equation.

GCF(9548,9554) = 2
LCM(9548,9554) = ( 9548 × 9554) / 2
LCM(9548,9554) = 91221592 / 2
LCM(9548,9554) = 45610796

Properties of LCM 9548 and 9554

(i) The LCM of 9554 and 9548 is associative

LCM of 9548 and 9554 = LCM of 9554 and 9548

Related Least Common Multiples of 9548

Related Least Common Multiples of 9554

Frequently Asked Questions on LCM of 9548 and 9554

1. What is the LCM of 9548 and 9554?

Answer: LCM of 9548 and 9554 is 45610796.

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 9554?

Answer: Factors of 9554 are 1, 2, 17, 34, 281, 562, 4777, 9554. There are 8 integers that are factors of 9554. The greatest factor of 9554 is 9554.

4. How to Find the LCM of 9548 and 9554?

Answer:

Least Common Multiple of 9548 and 9554 = 45610796

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 9554

9554 = 2 x 17 x 281

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

LCM = 45610796 = 2 x 2 x 7 x 11 x 17 x 31 x 281

Step 4: Therefore, the least common multiple of 9548 and 9554 is 45610796.