Least Common Multiple of 9335 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 9335 and 9339 the smallest integer that is 87179565 that is divisible by both numbers.

Least Common Multiple (LCM) of 9335 and 9339 is 87179565.

LCM(9335,9339) = 87179565

LCM of 9335 and 9339

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

LCM of:
and

Least Common Multiple of 9335 and 9339

LCM of 9335 and 9339 is 87179565

Least common multiple can be found by multiplying the highest exponent prime factors of 9335 and 9339. First we will calculate the prime factors of 9335 and 9339.

Prime Factorization of 9335


5 9335
1867 1867
1

Prime factors of 9335 are 5,1867. Prime factorization of 9335 in exponential form is:

9335 = 51×18671

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 9335 and 9339.

LCM(9335,9339) = 31×51×111×2831×18671
LCM(9335,9339) = 87179565

Factors of 9335

List of positive integer factors of 9335 that divides 9335 without a remainder.

1, 5, 1867, 9335

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 9335 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 9335 and 9339, than apply into the LCM equation.

GCF(9335,9339) = 1
LCM(9335,9339) = ( 9335 × 9339) / 1
LCM(9335,9339) = 87179565 / 1
LCM(9335,9339) = 87179565

Properties of LCM 9335 and 9339

(i) The LCM of 9339 and 9335 is associative

LCM of 9335 and 9339 = LCM of 9339 and 9335

Related Least Common Multiples of 9335

Related Least Common Multiples of 9339

Frequently Asked Questions on LCM of 9335 and 9339

1. What is the LCM of 9335 and 9339?

Answer: LCM of 9335 and 9339 is 87179565.

2. What are the Factors of 9335?

Answer: Factors of 9335 are 1, 5, 1867, 9335. There are 4 integers that are factors of 9335. The greatest factor of 9335 is 9335.

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 9335 and 9339?

Answer:

Least Common Multiple of 9335 and 9339 = 87179565

Step 1: Find the prime factorization of 9335

9335 = 5 x 1867

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 = 87179565 = 3 x 5 x 11 x 283 x 1867

Step 4: Therefore, the least common multiple of 9335 and 9339 is 87179565.