Least Common Multiple of 9541 and 9545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 9541 and 9545 the smallest integer that is 91068845 that is divisible by both numbers.

Least Common Multiple (LCM) of 9541 and 9545 is 91068845.

LCM(9541,9545) = 91068845

LCM of 9541 and 9545

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

LCM of:
and

Least Common Multiple of 9541 and 9545

LCM of 9541 and 9545 is 91068845

Least common multiple can be found by multiplying the highest exponent prime factors of 9541 and 9545. First we will calculate the prime factors of 9541 and 9545.

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

Prime Factorization of 9545


5 9545
23 1909
83 83
1

Prime factors of 9545 are 5, 23,83. Prime factorization of 9545 in exponential form is:

9545 = 51×231×831

Now multiplying the highest exponent prime factors to calculate the LCM of 9541 and 9545.

LCM(9541,9545) = 51×71×231×291×471×831
LCM(9541,9545) = 91068845

Factors of 9541

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

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

Factors of 9545

List of positive integer factors of 9545 that divides 9545 without a remainder.

1, 5, 23, 83, 115, 415, 1909, 9545

Least Common Multiple of 9541 and 9545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9541 and 9545, than apply into the LCM equation.

GCF(9541,9545) = 1
LCM(9541,9545) = ( 9541 × 9545) / 1
LCM(9541,9545) = 91068845 / 1
LCM(9541,9545) = 91068845

Properties of LCM 9541 and 9545

(i) The LCM of 9545 and 9541 is associative

LCM of 9541 and 9545 = LCM of 9545 and 9541

Frequently Asked Questions on LCM of 9541 and 9545

1. What is the LCM of 9541 and 9545?

Answer: LCM of 9541 and 9545 is 91068845.

2. 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.

3. What are the Factors of 9545?

Answer: Factors of 9545 are 1, 5, 23, 83, 115, 415, 1909, 9545. There are 8 integers that are factors of 9545. The greatest factor of 9545 is 9545.

4. How to Find the LCM of 9541 and 9545?

Answer:

Least Common Multiple of 9541 and 9545 = 91068845

Step 1: Find the prime factorization of 9541

9541 = 7 x 29 x 47

Step 2: Find the prime factorization of 9545

9545 = 5 x 23 x 83

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

LCM = 91068845 = 5 x 7 x 23 x 29 x 47 x 83

Step 4: Therefore, the least common multiple of 9541 and 9545 is 91068845.