Least Common Multiple of 3316 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 3316 and 3321 the smallest integer that is 11012436 that is divisible by both numbers.

Least Common Multiple (LCM) of 3316 and 3321 is 11012436.

LCM(3316,3321) = 11012436

LCM of 3316 and 3321

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

LCM of:
and

Least Common Multiple of 3316 and 3321

LCM of 3316 and 3321 is 11012436

Least common multiple can be found by multiplying the highest exponent prime factors of 3316 and 3321. First we will calculate the prime factors of 3316 and 3321.

Prime Factorization of 3316


2 3316
2 1658
829 829
1

Prime factors of 3316 are 2,829. Prime factorization of 3316 in exponential form is:

3316 = 22×8291

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 3316 and 3321.

LCM(3316,3321) = 22×34×411×8291
LCM(3316,3321) = 11012436

Factors of 3316

List of positive integer factors of 3316 that divides 3316 without a remainder.

1, 2, 4, 829, 1658, 3316

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 3316 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 3316 and 3321, than apply into the LCM equation.

GCF(3316,3321) = 1
LCM(3316,3321) = ( 3316 × 3321) / 1
LCM(3316,3321) = 11012436 / 1
LCM(3316,3321) = 11012436

Properties of LCM 3316 and 3321

(i) The LCM of 3321 and 3316 is associative

LCM of 3316 and 3321 = LCM of 3321 and 3316

Related Least Common Multiples of 3316

Related Least Common Multiples of 3321

Frequently Asked Questions on LCM of 3316 and 3321

1. What is the LCM of 3316 and 3321?

Answer: LCM of 3316 and 3321 is 11012436.

2. What are the Factors of 3316?

Answer: Factors of 3316 are 1, 2, 4, 829, 1658, 3316. There are 6 integers that are factors of 3316. The greatest factor of 3316 is 3316.

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 3316 and 3321?

Answer:

Least Common Multiple of 3316 and 3321 = 11012436

Step 1: Find the prime factorization of 3316

3316 = 2 x 2 x 829

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 = 11012436 = 2 x 2 x 3 x 3 x 3 x 3 x 41 x 829

Step 4: Therefore, the least common multiple of 3316 and 3321 is 11012436.