Least Common Multiple of 9330 and 9338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9330 and 9338 the smallest integer that is 43561770 that is divisible by both numbers.

Least Common Multiple (LCM) of 9330 and 9338 is 43561770.

LCM(9330,9338) = 43561770

LCM of 9330 and 9338

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

LCM of:
and

Least Common Multiple of 9330 and 9338

LCM of 9330 and 9338 is 43561770

Least common multiple can be found by multiplying the highest exponent prime factors of 9330 and 9338. First we will calculate the prime factors of 9330 and 9338.

Prime Factorization of 9330


2 9330
3 4665
5 1555
311 311
1

Prime factors of 9330 are 2, 3, 5,311. Prime factorization of 9330 in exponential form is:

9330 = 21×31×51×3111

Prime Factorization of 9338


2 9338
7 4669
23 667
29 29
1

Prime factors of 9338 are 2, 7, 23,29. Prime factorization of 9338 in exponential form is:

9338 = 21×71×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 9330 and 9338.

LCM(9330,9338) = 21×31×51×71×231×291×3111
LCM(9330,9338) = 43561770

Factors of 9330

List of positive integer factors of 9330 that divides 9330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 311, 622, 933, 1555, 1866, 3110, 4665, 9330

Factors of 9338

List of positive integer factors of 9338 that divides 9338 without a remainder.

1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338

Least Common Multiple of 9330 and 9338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9330 and 9338, than apply into the LCM equation.

GCF(9330,9338) = 2
LCM(9330,9338) = ( 9330 × 9338) / 2
LCM(9330,9338) = 87123540 / 2
LCM(9330,9338) = 43561770

Properties of LCM 9330 and 9338

(i) The LCM of 9338 and 9330 is associative

LCM of 9330 and 9338 = LCM of 9338 and 9330

Related Least Common Multiples of 9330

Related Least Common Multiples of 9338

Frequently Asked Questions on LCM of 9330 and 9338

1. What is the LCM of 9330 and 9338?

Answer: LCM of 9330 and 9338 is 43561770.

2. What are the Factors of 9330?

Answer: Factors of 9330 are 1, 2, 3, 5, 6, 10, 15, 30, 311, 622, 933, 1555, 1866, 3110, 4665, 9330. There are 16 integers that are factors of 9330. The greatest factor of 9330 is 9330.

3. What are the Factors of 9338?

Answer: Factors of 9338 are 1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338. There are 16 integers that are factors of 9338. The greatest factor of 9338 is 9338.

4. How to Find the LCM of 9330 and 9338?

Answer:

Least Common Multiple of 9330 and 9338 = 43561770

Step 1: Find the prime factorization of 9330

9330 = 2 x 3 x 5 x 311

Step 2: Find the prime factorization of 9338

9338 = 2 x 7 x 23 x 29

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

LCM = 43561770 = 2 x 3 x 5 x 7 x 23 x 29 x 311

Step 4: Therefore, the least common multiple of 9330 and 9338 is 43561770.