Least Common Multiple of 9261 and 9267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9261 and 9267 the smallest integer that is 28607229 that is divisible by both numbers.

Least Common Multiple (LCM) of 9261 and 9267 is 28607229.

LCM(9261,9267) = 28607229

LCM of 9261 and 9267

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

LCM of:
and

Least Common Multiple of 9261 and 9267

LCM of 9261 and 9267 is 28607229

Least common multiple can be found by multiplying the highest exponent prime factors of 9261 and 9267. First we will calculate the prime factors of 9261 and 9267.

Prime Factorization of 9261


3 9261
3 3087
3 1029
7 343
7 49
7 7
1

Prime factors of 9261 are 3,7. Prime factorization of 9261 in exponential form is:

9261 = 33×73

Prime Factorization of 9267


3 9267
3089 3089
1

Prime factors of 9267 are 3,3089. Prime factorization of 9267 in exponential form is:

9267 = 31×30891

Now multiplying the highest exponent prime factors to calculate the LCM of 9261 and 9267.

LCM(9261,9267) = 33×73×30891
LCM(9261,9267) = 28607229

Factors of 9261

List of positive integer factors of 9261 that divides 9261 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261

Factors of 9267

List of positive integer factors of 9267 that divides 9267 without a remainder.

1, 3, 3089, 9267

Least Common Multiple of 9261 and 9267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9261 and 9267, than apply into the LCM equation.

GCF(9261,9267) = 3
LCM(9261,9267) = ( 9261 × 9267) / 3
LCM(9261,9267) = 85821687 / 3
LCM(9261,9267) = 28607229

Properties of LCM 9261 and 9267

(i) The LCM of 9267 and 9261 is associative

LCM of 9261 and 9267 = LCM of 9267 and 9261

Related Least Common Multiples of 9261

Related Least Common Multiples of 9267

Frequently Asked Questions on LCM of 9261 and 9267

1. What is the LCM of 9261 and 9267?

Answer: LCM of 9261 and 9267 is 28607229.

2. What are the Factors of 9261?

Answer: Factors of 9261 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261. There are 16 integers that are factors of 9261. The greatest factor of 9261 is 9261.

3. What are the Factors of 9267?

Answer: Factors of 9267 are 1, 3, 3089, 9267. There are 4 integers that are factors of 9267. The greatest factor of 9267 is 9267.

4. How to Find the LCM of 9261 and 9267?

Answer:

Least Common Multiple of 9261 and 9267 = 28607229

Step 1: Find the prime factorization of 9261

9261 = 3 x 3 x 3 x 7 x 7 x 7

Step 2: Find the prime factorization of 9267

9267 = 3 x 3089

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

LCM = 28607229 = 3 x 3 x 3 x 7 x 7 x 7 x 3089

Step 4: Therefore, the least common multiple of 9261 and 9267 is 28607229.