Least Common Multiple of 9538 and 9543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9538 and 9543 the smallest integer that is 91021134 that is divisible by both numbers.

Least Common Multiple (LCM) of 9538 and 9543 is 91021134.

LCM(9538,9543) = 91021134

LCM of 9538 and 9543

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

LCM of:
and

Least Common Multiple of 9538 and 9543

LCM of 9538 and 9543 is 91021134

Least common multiple can be found by multiplying the highest exponent prime factors of 9538 and 9543. First we will calculate the prime factors of 9538 and 9543.

Prime Factorization of 9538


2 9538
19 4769
251 251
1

Prime factors of 9538 are 2, 19,251. Prime factorization of 9538 in exponential form is:

9538 = 21×191×2511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9538 and 9543.

LCM(9538,9543) = 21×31×191×2511×31811
LCM(9538,9543) = 91021134

Factors of 9538

List of positive integer factors of 9538 that divides 9538 without a remainder.

1, 2, 19, 38, 251, 502, 4769, 9538

Factors of 9543

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

1, 3, 3181, 9543

Least Common Multiple of 9538 and 9543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9538 and 9543, than apply into the LCM equation.

GCF(9538,9543) = 1
LCM(9538,9543) = ( 9538 × 9543) / 1
LCM(9538,9543) = 91021134 / 1
LCM(9538,9543) = 91021134

Properties of LCM 9538 and 9543

(i) The LCM of 9543 and 9538 is associative

LCM of 9538 and 9543 = LCM of 9543 and 9538

Related Least Common Multiples of 9538

Related Least Common Multiples of 9543

Frequently Asked Questions on LCM of 9538 and 9543

1. What is the LCM of 9538 and 9543?

Answer: LCM of 9538 and 9543 is 91021134.

2. What are the Factors of 9538?

Answer: Factors of 9538 are 1, 2, 19, 38, 251, 502, 4769, 9538. There are 8 integers that are factors of 9538. The greatest factor of 9538 is 9538.

3. 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.

4. How to Find the LCM of 9538 and 9543?

Answer:

Least Common Multiple of 9538 and 9543 = 91021134

Step 1: Find the prime factorization of 9538

9538 = 2 x 19 x 251

Step 2: Find the prime factorization of 9543

9543 = 3 x 3181

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

LCM = 91021134 = 2 x 3 x 19 x 251 x 3181

Step 4: Therefore, the least common multiple of 9538 and 9543 is 91021134.