Least Common Multiple of 9538 and 9541

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 9541 the smallest integer that is 91002058 that is divisible by both numbers.

Least Common Multiple (LCM) of 9538 and 9541 is 91002058.

LCM(9538,9541) = 91002058

LCM of 9538 and 9541

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

LCM of:
and

Least Common Multiple of 9538 and 9541

LCM of 9538 and 9541 is 91002058

Least common multiple can be found by multiplying the highest exponent prime factors of 9538 and 9541. First we will calculate the prime factors of 9538 and 9541.

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 9541


7 9541
29 1363
47 47
1

Prime factors of 9541 are 7, 29,47. Prime factorization of 9541 in exponential form is:

9541 = 71×291×471

Now multiplying the highest exponent prime factors to calculate the LCM of 9538 and 9541.

LCM(9538,9541) = 21×71×191×291×471×2511
LCM(9538,9541) = 91002058

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 9541

List of positive integer factors of 9541 that divides 9541 without a remainder.

1, 7, 29, 47, 203, 329, 1363, 9541

Least Common Multiple of 9538 and 9541 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 9541, than apply into the LCM equation.

GCF(9538,9541) = 1
LCM(9538,9541) = ( 9538 × 9541) / 1
LCM(9538,9541) = 91002058 / 1
LCM(9538,9541) = 91002058

Properties of LCM 9538 and 9541

(i) The LCM of 9541 and 9538 is associative

LCM of 9538 and 9541 = LCM of 9541 and 9538

Related Least Common Multiples of 9538

Related Least Common Multiples of 9541

Frequently Asked Questions on LCM of 9538 and 9541

1. What is the LCM of 9538 and 9541?

Answer: LCM of 9538 and 9541 is 91002058.

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 9541?

Answer: Factors of 9541 are 1, 7, 29, 47, 203, 329, 1363, 9541. There are 8 integers that are factors of 9541. The greatest factor of 9541 is 9541.

4. How to Find the LCM of 9538 and 9541?

Answer:

Least Common Multiple of 9538 and 9541 = 91002058

Step 1: Find the prime factorization of 9538

9538 = 2 x 19 x 251

Step 2: Find the prime factorization of 9541

9541 = 7 x 29 x 47

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

LCM = 91002058 = 2 x 7 x 19 x 29 x 47 x 251

Step 4: Therefore, the least common multiple of 9538 and 9541 is 91002058.