Least Common Multiple of 3338 and 3343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3338 and 3343 the smallest integer that is 11158934 that is divisible by both numbers.

Least Common Multiple (LCM) of 3338 and 3343 is 11158934.

LCM(3338,3343) = 11158934

LCM of 3338 and 3343

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

LCM of:
and

Least Common Multiple of 3338 and 3343

LCM of 3338 and 3343 is 11158934

Least common multiple can be found by multiplying the highest exponent prime factors of 3338 and 3343. First we will calculate the prime factors of 3338 and 3343.

Prime Factorization of 3338


2 3338
1669 1669
1

Prime factors of 3338 are 2,1669. Prime factorization of 3338 in exponential form is:

3338 = 21×16691

Prime Factorization of 3343


3343 3343
1

Prime factors of 3343 are 3343. Prime factorization of 3343 in exponential form is:

3343 = 33431

Now multiplying the highest exponent prime factors to calculate the LCM of 3338 and 3343.

LCM(3338,3343) = 21×16691×33431
LCM(3338,3343) = 11158934

Factors of 3338

List of positive integer factors of 3338 that divides 3338 without a remainder.

1, 2, 1669, 3338

Factors of 3343

List of positive integer factors of 3343 that divides 3343 without a remainder.

1, 3343

Least Common Multiple of 3338 and 3343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3338 and 3343, than apply into the LCM equation.

GCF(3338,3343) = 1
LCM(3338,3343) = ( 3338 × 3343) / 1
LCM(3338,3343) = 11158934 / 1
LCM(3338,3343) = 11158934

Properties of LCM 3338 and 3343

(i) The LCM of 3343 and 3338 is associative

LCM of 3338 and 3343 = LCM of 3343 and 3338

Related Least Common Multiples of 3338

Related Least Common Multiples of 3343

Frequently Asked Questions on LCM of 3338 and 3343

1. What is the LCM of 3338 and 3343?

Answer: LCM of 3338 and 3343 is 11158934.

2. What are the Factors of 3338?

Answer: Factors of 3338 are 1, 2, 1669, 3338. There are 4 integers that are factors of 3338. The greatest factor of 3338 is 3338.

3. What are the Factors of 3343?

Answer: Factors of 3343 are 1, 3343. There are 2 integers that are factors of 3343. The greatest factor of 3343 is 3343.

4. How to Find the LCM of 3338 and 3343?

Answer:

Least Common Multiple of 3338 and 3343 = 11158934

Step 1: Find the prime factorization of 3338

3338 = 2 x 1669

Step 2: Find the prime factorization of 3343

3343 = 3343

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

LCM = 11158934 = 2 x 1669 x 3343

Step 4: Therefore, the least common multiple of 3338 and 3343 is 11158934.