Least Common Multiple of 3315 and 3316

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 3316 the smallest integer that is 10992540 that is divisible by both numbers.

Least Common Multiple (LCM) of 3315 and 3316 is 10992540.

LCM(3315,3316) = 10992540

LCM of 3315 and 3316

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

LCM of:
and

Least Common Multiple of 3315 and 3316

LCM of 3315 and 3316 is 10992540

Least common multiple can be found by multiplying the highest exponent prime factors of 3315 and 3316. First we will calculate the prime factors of 3315 and 3316.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 3315 and 3316.

LCM(3315,3316) = 22×31×51×131×171×8291
LCM(3315,3316) = 10992540

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 3316

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

1, 2, 4, 829, 1658, 3316

Least Common Multiple of 3315 and 3316 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 3316, than apply into the LCM equation.

GCF(3315,3316) = 1
LCM(3315,3316) = ( 3315 × 3316) / 1
LCM(3315,3316) = 10992540 / 1
LCM(3315,3316) = 10992540

Properties of LCM 3315 and 3316

(i) The LCM of 3316 and 3315 is associative

LCM of 3315 and 3316 = LCM of 3316 and 3315

Related Least Common Multiples of 3315

Related Least Common Multiples of 3316

Frequently Asked Questions on LCM of 3315 and 3316

1. What is the LCM of 3315 and 3316?

Answer: LCM of 3315 and 3316 is 10992540.

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 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.

4. How to Find the LCM of 3315 and 3316?

Answer:

Least Common Multiple of 3315 and 3316 = 10992540

Step 1: Find the prime factorization of 3315

3315 = 3 x 5 x 13 x 17

Step 2: Find the prime factorization of 3316

3316 = 2 x 2 x 829

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

LCM = 10992540 = 2 x 2 x 3 x 5 x 13 x 17 x 829

Step 4: Therefore, the least common multiple of 3315 and 3316 is 10992540.