Least Common Multiple of 3315 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 3315 and 3321 the smallest integer that is 3669705 that is divisible by both numbers.

Least Common Multiple (LCM) of 3315 and 3321 is 3669705.

LCM(3315,3321) = 3669705

LCM of 3315 and 3321

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

LCM of:
and

Least Common Multiple of 3315 and 3321

LCM of 3315 and 3321 is 3669705

Least common multiple can be found by multiplying the highest exponent prime factors of 3315 and 3321. First we will calculate the prime factors of 3315 and 3321.

Prime Factorization of 3315


3 3315
5 1105
13 221
17 17
1

Prime factors of 3315 are 3, 5, 13,17. Prime factorization of 3315 in exponential form is:

3315 = 31×51×131×171

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 3315 and 3321.

LCM(3315,3321) = 34×51×131×171×411
LCM(3315,3321) = 3669705

Factors of 3315

List of positive integer factors of 3315 that divides 3315 without a remainder.

1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105, 3315

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 3315 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 3315 and 3321, than apply into the LCM equation.

GCF(3315,3321) = 3
LCM(3315,3321) = ( 3315 × 3321) / 3
LCM(3315,3321) = 11009115 / 3
LCM(3315,3321) = 3669705

Properties of LCM 3315 and 3321

(i) The LCM of 3321 and 3315 is associative

LCM of 3315 and 3321 = LCM of 3321 and 3315

Related Least Common Multiples of 3315

Related Least Common Multiples of 3321

Frequently Asked Questions on LCM of 3315 and 3321

1. What is the LCM of 3315 and 3321?

Answer: LCM of 3315 and 3321 is 3669705.

2. What are the Factors of 3315?

Answer: Factors of 3315 are 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105, 3315. There are 16 integers that are factors of 3315. The greatest factor of 3315 is 3315.

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 3315 and 3321?

Answer:

Least Common Multiple of 3315 and 3321 = 3669705

Step 1: Find the prime factorization of 3315

3315 = 3 x 5 x 13 x 17

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 = 3669705 = 3 x 3 x 3 x 3 x 5 x 13 x 17 x 41

Step 4: Therefore, the least common multiple of 3315 and 3321 is 3669705.