Least Common Multiple of 9334 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 9334 and 9338 the smallest integer that is 43580446 that is divisible by both numbers.

Least Common Multiple (LCM) of 9334 and 9338 is 43580446.

LCM(9334,9338) = 43580446

LCM of 9334 and 9338

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

LCM of:
and

Least Common Multiple of 9334 and 9338

LCM of 9334 and 9338 is 43580446

Least common multiple can be found by multiplying the highest exponent prime factors of 9334 and 9338. First we will calculate the prime factors of 9334 and 9338.

Prime Factorization of 9334


2 9334
13 4667
359 359
1

Prime factors of 9334 are 2, 13,359. Prime factorization of 9334 in exponential form is:

9334 = 21×131×3591

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 9334 and 9338.

LCM(9334,9338) = 21×71×131×231×291×3591
LCM(9334,9338) = 43580446

Factors of 9334

List of positive integer factors of 9334 that divides 9334 without a remainder.

1, 2, 13, 26, 359, 718, 4667, 9334

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 9334 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 9334 and 9338, than apply into the LCM equation.

GCF(9334,9338) = 2
LCM(9334,9338) = ( 9334 × 9338) / 2
LCM(9334,9338) = 87160892 / 2
LCM(9334,9338) = 43580446

Properties of LCM 9334 and 9338

(i) The LCM of 9338 and 9334 is associative

LCM of 9334 and 9338 = LCM of 9338 and 9334

Related Least Common Multiples of 9334

Related Least Common Multiples of 9338

Frequently Asked Questions on LCM of 9334 and 9338

1. What is the LCM of 9334 and 9338?

Answer: LCM of 9334 and 9338 is 43580446.

2. What are the Factors of 9334?

Answer: Factors of 9334 are 1, 2, 13, 26, 359, 718, 4667, 9334. There are 8 integers that are factors of 9334. The greatest factor of 9334 is 9334.

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 9334 and 9338?

Answer:

Least Common Multiple of 9334 and 9338 = 43580446

Step 1: Find the prime factorization of 9334

9334 = 2 x 13 x 359

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 = 43580446 = 2 x 7 x 13 x 23 x 29 x 359

Step 4: Therefore, the least common multiple of 9334 and 9338 is 43580446.