Least Common Multiple of 9327 and 9333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9327 and 9333 the smallest integer that is 29016297 that is divisible by both numbers.

Least Common Multiple (LCM) of 9327 and 9333 is 29016297.

LCM(9327,9333) = 29016297

LCM of 9327 and 9333

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

LCM of:
and

Least Common Multiple of 9327 and 9333

LCM of 9327 and 9333 is 29016297

Least common multiple can be found by multiplying the highest exponent prime factors of 9327 and 9333. First we will calculate the prime factors of 9327 and 9333.

Prime Factorization of 9327


3 9327
3109 3109
1

Prime factors of 9327 are 3,3109. Prime factorization of 9327 in exponential form is:

9327 = 31×31091

Prime Factorization of 9333


3 9333
3 3111
17 1037
61 61
1

Prime factors of 9333 are 3, 17,61. Prime factorization of 9333 in exponential form is:

9333 = 32×171×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9327 and 9333.

LCM(9327,9333) = 32×171×611×31091
LCM(9327,9333) = 29016297

Factors of 9327

List of positive integer factors of 9327 that divides 9327 without a remainder.

1, 3, 3109, 9327

Factors of 9333

List of positive integer factors of 9333 that divides 9333 without a remainder.

1, 3, 9, 17, 51, 61, 153, 183, 549, 1037, 3111, 9333

Least Common Multiple of 9327 and 9333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9327 and 9333, than apply into the LCM equation.

GCF(9327,9333) = 3
LCM(9327,9333) = ( 9327 × 9333) / 3
LCM(9327,9333) = 87048891 / 3
LCM(9327,9333) = 29016297

Properties of LCM 9327 and 9333

(i) The LCM of 9333 and 9327 is associative

LCM of 9327 and 9333 = LCM of 9333 and 9327

Related Least Common Multiples of 9327

Related Least Common Multiples of 9333

Frequently Asked Questions on LCM of 9327 and 9333

1. What is the LCM of 9327 and 9333?

Answer: LCM of 9327 and 9333 is 29016297.

2. What are the Factors of 9327?

Answer: Factors of 9327 are 1, 3, 3109, 9327. There are 4 integers that are factors of 9327. The greatest factor of 9327 is 9327.

3. What are the Factors of 9333?

Answer: Factors of 9333 are 1, 3, 9, 17, 51, 61, 153, 183, 549, 1037, 3111, 9333. There are 12 integers that are factors of 9333. The greatest factor of 9333 is 9333.

4. How to Find the LCM of 9327 and 9333?

Answer:

Least Common Multiple of 9327 and 9333 = 29016297

Step 1: Find the prime factorization of 9327

9327 = 3 x 3109

Step 2: Find the prime factorization of 9333

9333 = 3 x 3 x 17 x 61

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

LCM = 29016297 = 3 x 3 x 17 x 61 x 3109

Step 4: Therefore, the least common multiple of 9327 and 9333 is 29016297.