Least Common Multiple of 3321 and 3326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3321 and 3326 the smallest integer that is 11045646 that is divisible by both numbers.

Least Common Multiple (LCM) of 3321 and 3326 is 11045646.

LCM(3321,3326) = 11045646

LCM of 3321 and 3326

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

LCM of:
and

Least Common Multiple of 3321 and 3326

LCM of 3321 and 3326 is 11045646

Least common multiple can be found by multiplying the highest exponent prime factors of 3321 and 3326. First we will calculate the prime factors of 3321 and 3326.

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

Prime Factorization of 3326


2 3326
1663 1663
1

Prime factors of 3326 are 2,1663. Prime factorization of 3326 in exponential form is:

3326 = 21×16631

Now multiplying the highest exponent prime factors to calculate the LCM of 3321 and 3326.

LCM(3321,3326) = 21×34×411×16631
LCM(3321,3326) = 11045646

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

Factors of 3326

List of positive integer factors of 3326 that divides 3326 without a remainder.

1, 2, 1663, 3326

Least Common Multiple of 3321 and 3326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3321 and 3326, than apply into the LCM equation.

GCF(3321,3326) = 1
LCM(3321,3326) = ( 3321 × 3326) / 1
LCM(3321,3326) = 11045646 / 1
LCM(3321,3326) = 11045646

Properties of LCM 3321 and 3326

(i) The LCM of 3326 and 3321 is associative

LCM of 3321 and 3326 = LCM of 3326 and 3321

Related Least Common Multiples of 3321

Related Least Common Multiples of 3326

Frequently Asked Questions on LCM of 3321 and 3326

1. What is the LCM of 3321 and 3326?

Answer: LCM of 3321 and 3326 is 11045646.

2. 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.

3. What are the Factors of 3326?

Answer: Factors of 3326 are 1, 2, 1663, 3326. There are 4 integers that are factors of 3326. The greatest factor of 3326 is 3326.

4. How to Find the LCM of 3321 and 3326?

Answer:

Least Common Multiple of 3321 and 3326 = 11045646

Step 1: Find the prime factorization of 3321

3321 = 3 x 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 3326

3326 = 2 x 1663

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

LCM = 11045646 = 2 x 3 x 3 x 3 x 3 x 41 x 1663

Step 4: Therefore, the least common multiple of 3321 and 3326 is 11045646.