Least Common Multiple of 3313 and 3321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3313 and 3321 the smallest integer that is 11002473 that is divisible by both numbers.

Least Common Multiple (LCM) of 3313 and 3321 is 11002473.

LCM(3313,3321) = 11002473

LCM of 3313 and 3321

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

LCM of:
and

Least Common Multiple of 3313 and 3321

LCM of 3313 and 3321 is 11002473

Least common multiple can be found by multiplying the highest exponent prime factors of 3313 and 3321. First we will calculate the prime factors of 3313 and 3321.

Prime Factorization of 3313


3313 3313
1

Prime factors of 3313 are 3313. Prime factorization of 3313 in exponential form is:

3313 = 33131

Prime Factorization of 3321


3 3321
3 1107
3 369
3 123
41 41
1

Prime factors of 3321 are 3,41. Prime factorization of 3321 in exponential form is:

3321 = 34×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3313 and 3321.

LCM(3313,3321) = 34×411×33131
LCM(3313,3321) = 11002473

Factors of 3313

List of positive integer factors of 3313 that divides 3313 without a remainder.

1, 3313

Factors of 3321

List of positive integer factors of 3321 that divides 3321 without a remainder.

1, 3, 9, 27, 41, 81, 123, 369, 1107, 3321

Least Common Multiple of 3313 and 3321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3313 and 3321, than apply into the LCM equation.

GCF(3313,3321) = 1
LCM(3313,3321) = ( 3313 × 3321) / 1
LCM(3313,3321) = 11002473 / 1
LCM(3313,3321) = 11002473

Properties of LCM 3313 and 3321

(i) The LCM of 3321 and 3313 is associative

LCM of 3313 and 3321 = LCM of 3321 and 3313

Related Least Common Multiples of 3313

Related Least Common Multiples of 3321

Frequently Asked Questions on LCM of 3313 and 3321

1. What is the LCM of 3313 and 3321?

Answer: LCM of 3313 and 3321 is 11002473.

2. What are the Factors of 3313?

Answer: Factors of 3313 are 1, 3313. There are 2 integers that are factors of 3313. The greatest factor of 3313 is 3313.

3. What are the Factors of 3321?

Answer: Factors of 3321 are 1, 3, 9, 27, 41, 81, 123, 369, 1107, 3321. There are 10 integers that are factors of 3321. The greatest factor of 3321 is 3321.

4. How to Find the LCM of 3313 and 3321?

Answer:

Least Common Multiple of 3313 and 3321 = 11002473

Step 1: Find the prime factorization of 3313

3313 = 3313

Step 2: Find the prime factorization of 3321

3321 = 3 x 3 x 3 x 3 x 41

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

LCM = 11002473 = 3 x 3 x 3 x 3 x 41 x 3313

Step 4: Therefore, the least common multiple of 3313 and 3321 is 11002473.