Least Common Multiple of 9135 and 9141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9135 and 9141 the smallest integer that is 27834345 that is divisible by both numbers.

Least Common Multiple (LCM) of 9135 and 9141 is 27834345.

LCM(9135,9141) = 27834345

LCM of 9135 and 9141

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

LCM of:
and

Least Common Multiple of 9135 and 9141

LCM of 9135 and 9141 is 27834345

Least common multiple can be found by multiplying the highest exponent prime factors of 9135 and 9141. First we will calculate the prime factors of 9135 and 9141.

Prime Factorization of 9135


3 9135
3 3045
5 1015
7 203
29 29
1

Prime factors of 9135 are 3, 5, 7,29. Prime factorization of 9135 in exponential form is:

9135 = 32×51×71×291

Prime Factorization of 9141


3 9141
11 3047
277 277
1

Prime factors of 9141 are 3, 11,277. Prime factorization of 9141 in exponential form is:

9141 = 31×111×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 9135 and 9141.

LCM(9135,9141) = 32×51×71×111×291×2771
LCM(9135,9141) = 27834345

Factors of 9135

List of positive integer factors of 9135 that divides 9135 without a remainder.

1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135

Factors of 9141

List of positive integer factors of 9141 that divides 9141 without a remainder.

1, 3, 11, 33, 277, 831, 3047, 9141

Least Common Multiple of 9135 and 9141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9135 and 9141, than apply into the LCM equation.

GCF(9135,9141) = 3
LCM(9135,9141) = ( 9135 × 9141) / 3
LCM(9135,9141) = 83503035 / 3
LCM(9135,9141) = 27834345

Properties of LCM 9135 and 9141

(i) The LCM of 9141 and 9135 is associative

LCM of 9135 and 9141 = LCM of 9141 and 9135

Related Least Common Multiples of 9135

Related Least Common Multiples of 9141

Frequently Asked Questions on LCM of 9135 and 9141

1. What is the LCM of 9135 and 9141?

Answer: LCM of 9135 and 9141 is 27834345.

2. What are the Factors of 9135?

Answer: Factors of 9135 are 1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135. There are 24 integers that are factors of 9135. The greatest factor of 9135 is 9135.

3. What are the Factors of 9141?

Answer: Factors of 9141 are 1, 3, 11, 33, 277, 831, 3047, 9141. There are 8 integers that are factors of 9141. The greatest factor of 9141 is 9141.

4. How to Find the LCM of 9135 and 9141?

Answer:

Least Common Multiple of 9135 and 9141 = 27834345

Step 1: Find the prime factorization of 9135

9135 = 3 x 3 x 5 x 7 x 29

Step 2: Find the prime factorization of 9141

9141 = 3 x 11 x 277

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

LCM = 27834345 = 3 x 3 x 5 x 7 x 11 x 29 x 277

Step 4: Therefore, the least common multiple of 9135 and 9141 is 27834345.