Least Common Multiple of 9332 and 9339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9332 and 9339 the smallest integer that is 87151548 that is divisible by both numbers.

Least Common Multiple (LCM) of 9332 and 9339 is 87151548.

LCM(9332,9339) = 87151548

LCM of 9332 and 9339

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

LCM of:
and

Least Common Multiple of 9332 and 9339

LCM of 9332 and 9339 is 87151548

Least common multiple can be found by multiplying the highest exponent prime factors of 9332 and 9339. First we will calculate the prime factors of 9332 and 9339.

Prime Factorization of 9332


2 9332
2 4666
2333 2333
1

Prime factors of 9332 are 2,2333. Prime factorization of 9332 in exponential form is:

9332 = 22×23331

Prime Factorization of 9339


3 9339
11 3113
283 283
1

Prime factors of 9339 are 3, 11,283. Prime factorization of 9339 in exponential form is:

9339 = 31×111×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 9332 and 9339.

LCM(9332,9339) = 22×31×111×2831×23331
LCM(9332,9339) = 87151548

Factors of 9332

List of positive integer factors of 9332 that divides 9332 without a remainder.

1, 2, 4, 2333, 4666, 9332

Factors of 9339

List of positive integer factors of 9339 that divides 9339 without a remainder.

1, 3, 11, 33, 283, 849, 3113, 9339

Least Common Multiple of 9332 and 9339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9332 and 9339, than apply into the LCM equation.

GCF(9332,9339) = 1
LCM(9332,9339) = ( 9332 × 9339) / 1
LCM(9332,9339) = 87151548 / 1
LCM(9332,9339) = 87151548

Properties of LCM 9332 and 9339

(i) The LCM of 9339 and 9332 is associative

LCM of 9332 and 9339 = LCM of 9339 and 9332

Related Least Common Multiples of 9332

Related Least Common Multiples of 9339

Frequently Asked Questions on LCM of 9332 and 9339

1. What is the LCM of 9332 and 9339?

Answer: LCM of 9332 and 9339 is 87151548.

2. What are the Factors of 9332?

Answer: Factors of 9332 are 1, 2, 4, 2333, 4666, 9332. There are 6 integers that are factors of 9332. The greatest factor of 9332 is 9332.

3. What are the Factors of 9339?

Answer: Factors of 9339 are 1, 3, 11, 33, 283, 849, 3113, 9339. There are 8 integers that are factors of 9339. The greatest factor of 9339 is 9339.

4. How to Find the LCM of 9332 and 9339?

Answer:

Least Common Multiple of 9332 and 9339 = 87151548

Step 1: Find the prime factorization of 9332

9332 = 2 x 2 x 2333

Step 2: Find the prime factorization of 9339

9339 = 3 x 11 x 283

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

LCM = 87151548 = 2 x 2 x 3 x 11 x 283 x 2333

Step 4: Therefore, the least common multiple of 9332 and 9339 is 87151548.