Least Common Multiple of 9339 and 9343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9339 and 9343 the smallest integer that is 87254277 that is divisible by both numbers.

Least Common Multiple (LCM) of 9339 and 9343 is 87254277.

LCM(9339,9343) = 87254277

LCM of 9339 and 9343

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

LCM of:
and

Least Common Multiple of 9339 and 9343

LCM of 9339 and 9343 is 87254277

Least common multiple can be found by multiplying the highest exponent prime factors of 9339 and 9343. First we will calculate the prime factors of 9339 and 9343.

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

Prime Factorization of 9343


9343 9343
1

Prime factors of 9343 are 9343. Prime factorization of 9343 in exponential form is:

9343 = 93431

Now multiplying the highest exponent prime factors to calculate the LCM of 9339 and 9343.

LCM(9339,9343) = 31×111×2831×93431
LCM(9339,9343) = 87254277

Factors of 9339

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

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

Factors of 9343

List of positive integer factors of 9343 that divides 9343 without a remainder.

1, 9343

Least Common Multiple of 9339 and 9343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9339 and 9343, than apply into the LCM equation.

GCF(9339,9343) = 1
LCM(9339,9343) = ( 9339 × 9343) / 1
LCM(9339,9343) = 87254277 / 1
LCM(9339,9343) = 87254277

Properties of LCM 9339 and 9343

(i) The LCM of 9343 and 9339 is associative

LCM of 9339 and 9343 = LCM of 9343 and 9339

Related Least Common Multiples of 9339

Related Least Common Multiples of 9343

Frequently Asked Questions on LCM of 9339 and 9343

1. What is the LCM of 9339 and 9343?

Answer: LCM of 9339 and 9343 is 87254277.

2. 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.

3. What are the Factors of 9343?

Answer: Factors of 9343 are 1, 9343. There are 2 integers that are factors of 9343. The greatest factor of 9343 is 9343.

4. How to Find the LCM of 9339 and 9343?

Answer:

Least Common Multiple of 9339 and 9343 = 87254277

Step 1: Find the prime factorization of 9339

9339 = 3 x 11 x 283

Step 2: Find the prime factorization of 9343

9343 = 9343

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

LCM = 87254277 = 3 x 11 x 283 x 9343

Step 4: Therefore, the least common multiple of 9339 and 9343 is 87254277.