Least Common Multiple of 9551 and 9558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9551 and 9558 the smallest integer that is 91288458 that is divisible by both numbers.

Least Common Multiple (LCM) of 9551 and 9558 is 91288458.

LCM(9551,9558) = 91288458

LCM of 9551 and 9558

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

LCM of:
and

Least Common Multiple of 9551 and 9558

LCM of 9551 and 9558 is 91288458

Least common multiple can be found by multiplying the highest exponent prime factors of 9551 and 9558. First we will calculate the prime factors of 9551 and 9558.

Prime Factorization of 9551


9551 9551
1

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

9551 = 95511

Prime Factorization of 9558


2 9558
3 4779
3 1593
3 531
3 177
59 59
1

Prime factors of 9558 are 2, 3,59. Prime factorization of 9558 in exponential form is:

9558 = 21×34×591

Now multiplying the highest exponent prime factors to calculate the LCM of 9551 and 9558.

LCM(9551,9558) = 21×34×591×95511
LCM(9551,9558) = 91288458

Factors of 9551

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

1, 9551

Factors of 9558

List of positive integer factors of 9558 that divides 9558 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 59, 81, 118, 162, 177, 354, 531, 1062, 1593, 3186, 4779, 9558

Least Common Multiple of 9551 and 9558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9551 and 9558, than apply into the LCM equation.

GCF(9551,9558) = 1
LCM(9551,9558) = ( 9551 × 9558) / 1
LCM(9551,9558) = 91288458 / 1
LCM(9551,9558) = 91288458

Properties of LCM 9551 and 9558

(i) The LCM of 9558 and 9551 is associative

LCM of 9551 and 9558 = LCM of 9558 and 9551

Related Least Common Multiples of 9551

Related Least Common Multiples of 9558

Frequently Asked Questions on LCM of 9551 and 9558

1. What is the LCM of 9551 and 9558?

Answer: LCM of 9551 and 9558 is 91288458.

2. 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.

3. What are the Factors of 9558?

Answer: Factors of 9558 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 81, 118, 162, 177, 354, 531, 1062, 1593, 3186, 4779, 9558. There are 20 integers that are factors of 9558. The greatest factor of 9558 is 9558.

4. How to Find the LCM of 9551 and 9558?

Answer:

Least Common Multiple of 9551 and 9558 = 91288458

Step 1: Find the prime factorization of 9551

9551 = 9551

Step 2: Find the prime factorization of 9558

9558 = 2 x 3 x 3 x 3 x 3 x 59

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

LCM = 91288458 = 2 x 3 x 3 x 3 x 3 x 59 x 9551

Step 4: Therefore, the least common multiple of 9551 and 9558 is 91288458.