Least Common Multiple of 9336 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 9336 and 9338 the smallest integer that is 43589784 that is divisible by both numbers.

Least Common Multiple (LCM) of 9336 and 9338 is 43589784.

LCM(9336,9338) = 43589784

LCM of 9336 and 9338

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

LCM of:
and

Least Common Multiple of 9336 and 9338

LCM of 9336 and 9338 is 43589784

Least common multiple can be found by multiplying the highest exponent prime factors of 9336 and 9338. First we will calculate the prime factors of 9336 and 9338.

Prime Factorization of 9336


2 9336
2 4668
2 2334
3 1167
389 389
1

Prime factors of 9336 are 2, 3,389. Prime factorization of 9336 in exponential form is:

9336 = 23×31×3891

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 9336 and 9338.

LCM(9336,9338) = 23×31×71×231×291×3891
LCM(9336,9338) = 43589784

Factors of 9336

List of positive integer factors of 9336 that divides 9336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336

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 9336 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 9336 and 9338, than apply into the LCM equation.

GCF(9336,9338) = 2
LCM(9336,9338) = ( 9336 × 9338) / 2
LCM(9336,9338) = 87179568 / 2
LCM(9336,9338) = 43589784

Properties of LCM 9336 and 9338

(i) The LCM of 9338 and 9336 is associative

LCM of 9336 and 9338 = LCM of 9338 and 9336

Related Least Common Multiples of 9336

Related Least Common Multiples of 9338

Frequently Asked Questions on LCM of 9336 and 9338

1. What is the LCM of 9336 and 9338?

Answer: LCM of 9336 and 9338 is 43589784.

2. What are the Factors of 9336?

Answer: Factors of 9336 are 1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336. There are 16 integers that are factors of 9336. The greatest factor of 9336 is 9336.

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 9336 and 9338?

Answer:

Least Common Multiple of 9336 and 9338 = 43589784

Step 1: Find the prime factorization of 9336

9336 = 2 x 2 x 2 x 3 x 389

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 = 43589784 = 2 x 2 x 2 x 3 x 7 x 23 x 29 x 389

Step 4: Therefore, the least common multiple of 9336 and 9338 is 43589784.