Least Common Multiple of 9536 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 9536 and 9541 the smallest integer that is 90982976 that is divisible by both numbers.

Least Common Multiple (LCM) of 9536 and 9541 is 90982976.

LCM(9536,9541) = 90982976

LCM of 9536 and 9541

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

LCM of:
and

Least Common Multiple of 9536 and 9541

LCM of 9536 and 9541 is 90982976

Least common multiple can be found by multiplying the highest exponent prime factors of 9536 and 9541. First we will calculate the prime factors of 9536 and 9541.

Prime Factorization of 9536


2 9536
2 4768
2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 9536 are 2,149. Prime factorization of 9536 in exponential form is:

9536 = 26×1491

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 9536 and 9541.

LCM(9536,9541) = 26×71×291×471×1491
LCM(9536,9541) = 90982976

Factors of 9536

List of positive integer factors of 9536 that divides 9536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536

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 9536 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 9536 and 9541, than apply into the LCM equation.

GCF(9536,9541) = 1
LCM(9536,9541) = ( 9536 × 9541) / 1
LCM(9536,9541) = 90982976 / 1
LCM(9536,9541) = 90982976

Properties of LCM 9536 and 9541

(i) The LCM of 9541 and 9536 is associative

LCM of 9536 and 9541 = LCM of 9541 and 9536

Related Least Common Multiples of 9536

Related Least Common Multiples of 9541

Frequently Asked Questions on LCM of 9536 and 9541

1. What is the LCM of 9536 and 9541?

Answer: LCM of 9536 and 9541 is 90982976.

2. What are the Factors of 9536?

Answer: Factors of 9536 are 1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536. There are 14 integers that are factors of 9536. The greatest factor of 9536 is 9536.

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 9536 and 9541?

Answer:

Least Common Multiple of 9536 and 9541 = 90982976

Step 1: Find the prime factorization of 9536

9536 = 2 x 2 x 2 x 2 x 2 x 2 x 149

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 = 90982976 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 29 x 47 x 149

Step 4: Therefore, the least common multiple of 9536 and 9541 is 90982976.