Least Common Multiple of 9553 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 9553 and 9558 the smallest integer that is 91307574 that is divisible by both numbers.

Least Common Multiple (LCM) of 9553 and 9558 is 91307574.

LCM(9553,9558) = 91307574

LCM of 9553 and 9558

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

LCM of:
and

Least Common Multiple of 9553 and 9558

LCM of 9553 and 9558 is 91307574

Least common multiple can be found by multiplying the highest exponent prime factors of 9553 and 9558. First we will calculate the prime factors of 9553 and 9558.

Prime Factorization of 9553


41 9553
233 233
1

Prime factors of 9553 are 41,233. Prime factorization of 9553 in exponential form is:

9553 = 411×2331

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 9553 and 9558.

LCM(9553,9558) = 21×34×411×591×2331
LCM(9553,9558) = 91307574

Factors of 9553

List of positive integer factors of 9553 that divides 9553 without a remainder.

1, 41, 233, 9553

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 9553 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 9553 and 9558, than apply into the LCM equation.

GCF(9553,9558) = 1
LCM(9553,9558) = ( 9553 × 9558) / 1
LCM(9553,9558) = 91307574 / 1
LCM(9553,9558) = 91307574

Properties of LCM 9553 and 9558

(i) The LCM of 9558 and 9553 is associative

LCM of 9553 and 9558 = LCM of 9558 and 9553

Related Least Common Multiples of 9553

Related Least Common Multiples of 9558

Frequently Asked Questions on LCM of 9553 and 9558

1. What is the LCM of 9553 and 9558?

Answer: LCM of 9553 and 9558 is 91307574.

2. What are the Factors of 9553?

Answer: Factors of 9553 are 1, 41, 233, 9553. There are 4 integers that are factors of 9553. The greatest factor of 9553 is 9553.

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 9553 and 9558?

Answer:

Least Common Multiple of 9553 and 9558 = 91307574

Step 1: Find the prime factorization of 9553

9553 = 41 x 233

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 = 91307574 = 2 x 3 x 3 x 3 x 3 x 41 x 59 x 233

Step 4: Therefore, the least common multiple of 9553 and 9558 is 91307574.