Least Common Multiple of 9548 and 9552

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 9552 the smallest integer that is 22800624 that is divisible by both numbers.

Least Common Multiple (LCM) of 9548 and 9552 is 22800624.

LCM(9548,9552) = 22800624

LCM of 9548 and 9552

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

LCM of:
and

Least Common Multiple of 9548 and 9552

LCM of 9548 and 9552 is 22800624

Least common multiple can be found by multiplying the highest exponent prime factors of 9548 and 9552. First we will calculate the prime factors of 9548 and 9552.

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 9552


2 9552
2 4776
2 2388
2 1194
3 597
199 199
1

Prime factors of 9552 are 2, 3,199. Prime factorization of 9552 in exponential form is:

9552 = 24×31×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 9548 and 9552.

LCM(9548,9552) = 24×31×71×111×311×1991
LCM(9548,9552) = 22800624

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 9552

List of positive integer factors of 9552 that divides 9552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 9552

Least Common Multiple of 9548 and 9552 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 9552, than apply into the LCM equation.

GCF(9548,9552) = 4
LCM(9548,9552) = ( 9548 × 9552) / 4
LCM(9548,9552) = 91202496 / 4
LCM(9548,9552) = 22800624

Properties of LCM 9548 and 9552

(i) The LCM of 9552 and 9548 is associative

LCM of 9548 and 9552 = LCM of 9552 and 9548

Related Least Common Multiples of 9548

Related Least Common Multiples of 9552

Frequently Asked Questions on LCM of 9548 and 9552

1. What is the LCM of 9548 and 9552?

Answer: LCM of 9548 and 9552 is 22800624.

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 9552?

Answer: Factors of 9552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 9552. There are 20 integers that are factors of 9552. The greatest factor of 9552 is 9552.

4. How to Find the LCM of 9548 and 9552?

Answer:

Least Common Multiple of 9548 and 9552 = 22800624

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 9552

9552 = 2 x 2 x 2 x 2 x 3 x 199

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

LCM = 22800624 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 31 x 199

Step 4: Therefore, the least common multiple of 9548 and 9552 is 22800624.