Least Common Multiple of 9331 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 9331 and 9339 the smallest integer that is 87142209 that is divisible by both numbers.

Least Common Multiple (LCM) of 9331 and 9339 is 87142209.

LCM(9331,9339) = 87142209

LCM of 9331 and 9339

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

LCM of:
and

Least Common Multiple of 9331 and 9339

LCM of 9331 and 9339 is 87142209

Least common multiple can be found by multiplying the highest exponent prime factors of 9331 and 9339. First we will calculate the prime factors of 9331 and 9339.

Prime Factorization of 9331


7 9331
31 1333
43 43
1

Prime factors of 9331 are 7, 31,43. Prime factorization of 9331 in exponential form is:

9331 = 71×311×431

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 9331 and 9339.

LCM(9331,9339) = 31×71×111×311×431×2831
LCM(9331,9339) = 87142209

Factors of 9331

List of positive integer factors of 9331 that divides 9331 without a remainder.

1, 7, 31, 43, 217, 301, 1333, 9331

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 9331 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 9331 and 9339, than apply into the LCM equation.

GCF(9331,9339) = 1
LCM(9331,9339) = ( 9331 × 9339) / 1
LCM(9331,9339) = 87142209 / 1
LCM(9331,9339) = 87142209

Properties of LCM 9331 and 9339

(i) The LCM of 9339 and 9331 is associative

LCM of 9331 and 9339 = LCM of 9339 and 9331

Related Least Common Multiples of 9331

Related Least Common Multiples of 9339

Frequently Asked Questions on LCM of 9331 and 9339

1. What is the LCM of 9331 and 9339?

Answer: LCM of 9331 and 9339 is 87142209.

2. What are the Factors of 9331?

Answer: Factors of 9331 are 1, 7, 31, 43, 217, 301, 1333, 9331. There are 8 integers that are factors of 9331. The greatest factor of 9331 is 9331.

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 9331 and 9339?

Answer:

Least Common Multiple of 9331 and 9339 = 87142209

Step 1: Find the prime factorization of 9331

9331 = 7 x 31 x 43

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 = 87142209 = 3 x 7 x 11 x 31 x 43 x 283

Step 4: Therefore, the least common multiple of 9331 and 9339 is 87142209.