Least Common Multiple of 9543 and 9547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9543 and 9547 the smallest integer that is 91107021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9543 and 9547 is 91107021.

LCM(9543,9547) = 91107021

LCM of 9543 and 9547

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

LCM of:
and

Least Common Multiple of 9543 and 9547

LCM of 9543 and 9547 is 91107021

Least common multiple can be found by multiplying the highest exponent prime factors of 9543 and 9547. First we will calculate the prime factors of 9543 and 9547.

Prime Factorization of 9543


3 9543
3181 3181
1

Prime factors of 9543 are 3,3181. Prime factorization of 9543 in exponential form is:

9543 = 31×31811

Prime Factorization of 9547


9547 9547
1

Prime factors of 9547 are 9547. Prime factorization of 9547 in exponential form is:

9547 = 95471

Now multiplying the highest exponent prime factors to calculate the LCM of 9543 and 9547.

LCM(9543,9547) = 31×31811×95471
LCM(9543,9547) = 91107021

Factors of 9543

List of positive integer factors of 9543 that divides 9543 without a remainder.

1, 3, 3181, 9543

Factors of 9547

List of positive integer factors of 9547 that divides 9547 without a remainder.

1, 9547

Least Common Multiple of 9543 and 9547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9543 and 9547, than apply into the LCM equation.

GCF(9543,9547) = 1
LCM(9543,9547) = ( 9543 × 9547) / 1
LCM(9543,9547) = 91107021 / 1
LCM(9543,9547) = 91107021

Properties of LCM 9543 and 9547

(i) The LCM of 9547 and 9543 is associative

LCM of 9543 and 9547 = LCM of 9547 and 9543

Related Least Common Multiples of 9543

Related Least Common Multiples of 9547

Frequently Asked Questions on LCM of 9543 and 9547

1. What is the LCM of 9543 and 9547?

Answer: LCM of 9543 and 9547 is 91107021.

2. What are the Factors of 9543?

Answer: Factors of 9543 are 1, 3, 3181, 9543. There are 4 integers that are factors of 9543. The greatest factor of 9543 is 9543.

3. What are the Factors of 9547?

Answer: Factors of 9547 are 1, 9547. There are 2 integers that are factors of 9547. The greatest factor of 9547 is 9547.

4. How to Find the LCM of 9543 and 9547?

Answer:

Least Common Multiple of 9543 and 9547 = 91107021

Step 1: Find the prime factorization of 9543

9543 = 3 x 3181

Step 2: Find the prime factorization of 9547

9547 = 9547

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

LCM = 91107021 = 3 x 3181 x 9547

Step 4: Therefore, the least common multiple of 9543 and 9547 is 91107021.