Least Common Multiple of 3315 and 3318

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 3318 the smallest integer that is 3666390 that is divisible by both numbers.

Least Common Multiple (LCM) of 3315 and 3318 is 3666390.

LCM(3315,3318) = 3666390

LCM of 3315 and 3318

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

LCM of:
and

Least Common Multiple of 3315 and 3318

LCM of 3315 and 3318 is 3666390

Least common multiple can be found by multiplying the highest exponent prime factors of 3315 and 3318. First we will calculate the prime factors of 3315 and 3318.

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 3318


2 3318
3 1659
7 553
79 79
1

Prime factors of 3318 are 2, 3, 7,79. Prime factorization of 3318 in exponential form is:

3318 = 21×31×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 3315 and 3318.

LCM(3315,3318) = 21×31×51×71×131×171×791
LCM(3315,3318) = 3666390

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 3318

List of positive integer factors of 3318 that divides 3318 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318

Least Common Multiple of 3315 and 3318 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 3318, than apply into the LCM equation.

GCF(3315,3318) = 3
LCM(3315,3318) = ( 3315 × 3318) / 3
LCM(3315,3318) = 10999170 / 3
LCM(3315,3318) = 3666390

Properties of LCM 3315 and 3318

(i) The LCM of 3318 and 3315 is associative

LCM of 3315 and 3318 = LCM of 3318 and 3315

Related Least Common Multiples of 3315

Related Least Common Multiples of 3318

Frequently Asked Questions on LCM of 3315 and 3318

1. What is the LCM of 3315 and 3318?

Answer: LCM of 3315 and 3318 is 3666390.

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 3318?

Answer: Factors of 3318 are 1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318. There are 16 integers that are factors of 3318. The greatest factor of 3318 is 3318.

4. How to Find the LCM of 3315 and 3318?

Answer:

Least Common Multiple of 3315 and 3318 = 3666390

Step 1: Find the prime factorization of 3315

3315 = 3 x 5 x 13 x 17

Step 2: Find the prime factorization of 3318

3318 = 2 x 3 x 7 x 79

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

LCM = 3666390 = 2 x 3 x 5 x 7 x 13 x 17 x 79

Step 4: Therefore, the least common multiple of 3315 and 3318 is 3666390.