Least Common Multiple of 9548 and 9549

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 9549 the smallest integer that is 91173852 that is divisible by both numbers.

Least Common Multiple (LCM) of 9548 and 9549 is 91173852.

LCM(9548,9549) = 91173852

LCM of 9548 and 9549

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

LCM of:
and

Least Common Multiple of 9548 and 9549

LCM of 9548 and 9549 is 91173852

Least common multiple can be found by multiplying the highest exponent prime factors of 9548 and 9549. First we will calculate the prime factors of 9548 and 9549.

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 9549


3 9549
3 3183
1061 1061
1

Prime factors of 9549 are 3,1061. Prime factorization of 9549 in exponential form is:

9549 = 32×10611

Now multiplying the highest exponent prime factors to calculate the LCM of 9548 and 9549.

LCM(9548,9549) = 22×32×71×111×311×10611
LCM(9548,9549) = 91173852

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 9549

List of positive integer factors of 9549 that divides 9549 without a remainder.

1, 3, 9, 1061, 3183, 9549

Least Common Multiple of 9548 and 9549 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 9549, than apply into the LCM equation.

GCF(9548,9549) = 1
LCM(9548,9549) = ( 9548 × 9549) / 1
LCM(9548,9549) = 91173852 / 1
LCM(9548,9549) = 91173852

Properties of LCM 9548 and 9549

(i) The LCM of 9549 and 9548 is associative

LCM of 9548 and 9549 = LCM of 9549 and 9548

Related Least Common Multiples of 9548

Related Least Common Multiples of 9549

Frequently Asked Questions on LCM of 9548 and 9549

1. What is the LCM of 9548 and 9549?

Answer: LCM of 9548 and 9549 is 91173852.

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 9549?

Answer: Factors of 9549 are 1, 3, 9, 1061, 3183, 9549. There are 6 integers that are factors of 9549. The greatest factor of 9549 is 9549.

4. How to Find the LCM of 9548 and 9549?

Answer:

Least Common Multiple of 9548 and 9549 = 91173852

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 9549

9549 = 3 x 3 x 1061

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

LCM = 91173852 = 2 x 2 x 3 x 3 x 7 x 11 x 31 x 1061

Step 4: Therefore, the least common multiple of 9548 and 9549 is 91173852.