Least Common Multiple of 9548 and 9551

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 9551 the smallest integer that is 91192948 that is divisible by both numbers.

Least Common Multiple (LCM) of 9548 and 9551 is 91192948.

LCM(9548,9551) = 91192948

LCM of 9548 and 9551

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

LCM of:
and

Least Common Multiple of 9548 and 9551

LCM of 9548 and 9551 is 91192948

Least common multiple can be found by multiplying the highest exponent prime factors of 9548 and 9551. First we will calculate the prime factors of 9548 and 9551.

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 9551


9551 9551
1

Prime factors of 9551 are 9551. Prime factorization of 9551 in exponential form is:

9551 = 95511

Now multiplying the highest exponent prime factors to calculate the LCM of 9548 and 9551.

LCM(9548,9551) = 22×71×111×311×95511
LCM(9548,9551) = 91192948

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 9551

List of positive integer factors of 9551 that divides 9551 without a remainder.

1, 9551

Least Common Multiple of 9548 and 9551 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 9551, than apply into the LCM equation.

GCF(9548,9551) = 1
LCM(9548,9551) = ( 9548 × 9551) / 1
LCM(9548,9551) = 91192948 / 1
LCM(9548,9551) = 91192948

Properties of LCM 9548 and 9551

(i) The LCM of 9551 and 9548 is associative

LCM of 9548 and 9551 = LCM of 9551 and 9548

Related Least Common Multiples of 9548

Related Least Common Multiples of 9551

Frequently Asked Questions on LCM of 9548 and 9551

1. What is the LCM of 9548 and 9551?

Answer: LCM of 9548 and 9551 is 91192948.

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 9551?

Answer: Factors of 9551 are 1, 9551. There are 2 integers that are factors of 9551. The greatest factor of 9551 is 9551.

4. How to Find the LCM of 9548 and 9551?

Answer:

Least Common Multiple of 9548 and 9551 = 91192948

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 9551

9551 = 9551

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

LCM = 91192948 = 2 x 2 x 7 x 11 x 31 x 9551

Step 4: Therefore, the least common multiple of 9548 and 9551 is 91192948.