Least Common Multiple of 3331 and 3338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3331 and 3338 the smallest integer that is 11118878 that is divisible by both numbers.

Least Common Multiple (LCM) of 3331 and 3338 is 11118878.

LCM(3331,3338) = 11118878

LCM of 3331 and 3338

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

LCM of:
and

Least Common Multiple of 3331 and 3338

LCM of 3331 and 3338 is 11118878

Least common multiple can be found by multiplying the highest exponent prime factors of 3331 and 3338. First we will calculate the prime factors of 3331 and 3338.

Prime Factorization of 3331


3331 3331
1

Prime factors of 3331 are 3331. Prime factorization of 3331 in exponential form is:

3331 = 33311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3331 and 3338.

LCM(3331,3338) = 21×16691×33311
LCM(3331,3338) = 11118878

Factors of 3331

List of positive integer factors of 3331 that divides 3331 without a remainder.

1, 3331

Factors of 3338

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

1, 2, 1669, 3338

Least Common Multiple of 3331 and 3338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3331 and 3338, than apply into the LCM equation.

GCF(3331,3338) = 1
LCM(3331,3338) = ( 3331 × 3338) / 1
LCM(3331,3338) = 11118878 / 1
LCM(3331,3338) = 11118878

Properties of LCM 3331 and 3338

(i) The LCM of 3338 and 3331 is associative

LCM of 3331 and 3338 = LCM of 3338 and 3331

Related Least Common Multiples of 3331

Related Least Common Multiples of 3338

Frequently Asked Questions on LCM of 3331 and 3338

1. What is the LCM of 3331 and 3338?

Answer: LCM of 3331 and 3338 is 11118878.

2. What are the Factors of 3331?

Answer: Factors of 3331 are 1, 3331. There are 2 integers that are factors of 3331. The greatest factor of 3331 is 3331.

3. 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.

4. How to Find the LCM of 3331 and 3338?

Answer:

Least Common Multiple of 3331 and 3338 = 11118878

Step 1: Find the prime factorization of 3331

3331 = 3331

Step 2: Find the prime factorization of 3338

3338 = 2 x 1669

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

LCM = 11118878 = 2 x 1669 x 3331

Step 4: Therefore, the least common multiple of 3331 and 3338 is 11118878.