Least Common Multiple of 3315 and 3320

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 3320 the smallest integer that is 2201160 that is divisible by both numbers.

Least Common Multiple (LCM) of 3315 and 3320 is 2201160.

LCM(3315,3320) = 2201160

LCM of 3315 and 3320

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

LCM of:
and

Least Common Multiple of 3315 and 3320

LCM of 3315 and 3320 is 2201160

Least common multiple can be found by multiplying the highest exponent prime factors of 3315 and 3320. First we will calculate the prime factors of 3315 and 3320.

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 3320


2 3320
2 1660
2 830
5 415
83 83
1

Prime factors of 3320 are 2, 5,83. Prime factorization of 3320 in exponential form is:

3320 = 23×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 3315 and 3320.

LCM(3315,3320) = 23×31×51×131×171×831
LCM(3315,3320) = 2201160

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 3320

List of positive integer factors of 3320 that divides 3320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320

Least Common Multiple of 3315 and 3320 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 3320, than apply into the LCM equation.

GCF(3315,3320) = 5
LCM(3315,3320) = ( 3315 × 3320) / 5
LCM(3315,3320) = 11005800 / 5
LCM(3315,3320) = 2201160

Properties of LCM 3315 and 3320

(i) The LCM of 3320 and 3315 is associative

LCM of 3315 and 3320 = LCM of 3320 and 3315

Related Least Common Multiples of 3315

Related Least Common Multiples of 3320

Frequently Asked Questions on LCM of 3315 and 3320

1. What is the LCM of 3315 and 3320?

Answer: LCM of 3315 and 3320 is 2201160.

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 3320?

Answer: Factors of 3320 are 1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320. There are 16 integers that are factors of 3320. The greatest factor of 3320 is 3320.

4. How to Find the LCM of 3315 and 3320?

Answer:

Least Common Multiple of 3315 and 3320 = 2201160

Step 1: Find the prime factorization of 3315

3315 = 3 x 5 x 13 x 17

Step 2: Find the prime factorization of 3320

3320 = 2 x 2 x 2 x 5 x 83

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

LCM = 2201160 = 2 x 2 x 2 x 3 x 5 x 13 x 17 x 83

Step 4: Therefore, the least common multiple of 3315 and 3320 is 2201160.