Least Common Multiple of 3315 and 3322

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 3322 the smallest integer that is 11012430 that is divisible by both numbers.

Least Common Multiple (LCM) of 3315 and 3322 is 11012430.

LCM(3315,3322) = 11012430

LCM of 3315 and 3322

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

LCM of:
and

Least Common Multiple of 3315 and 3322

LCM of 3315 and 3322 is 11012430

Least common multiple can be found by multiplying the highest exponent prime factors of 3315 and 3322. First we will calculate the prime factors of 3315 and 3322.

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 3322


2 3322
11 1661
151 151
1

Prime factors of 3322 are 2, 11,151. Prime factorization of 3322 in exponential form is:

3322 = 21×111×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 3315 and 3322.

LCM(3315,3322) = 21×31×51×111×131×171×1511
LCM(3315,3322) = 11012430

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 3322

List of positive integer factors of 3322 that divides 3322 without a remainder.

1, 2, 11, 22, 151, 302, 1661, 3322

Least Common Multiple of 3315 and 3322 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 3322, than apply into the LCM equation.

GCF(3315,3322) = 1
LCM(3315,3322) = ( 3315 × 3322) / 1
LCM(3315,3322) = 11012430 / 1
LCM(3315,3322) = 11012430

Properties of LCM 3315 and 3322

(i) The LCM of 3322 and 3315 is associative

LCM of 3315 and 3322 = LCM of 3322 and 3315

Related Least Common Multiples of 3315

Related Least Common Multiples of 3322

Frequently Asked Questions on LCM of 3315 and 3322

1. What is the LCM of 3315 and 3322?

Answer: LCM of 3315 and 3322 is 11012430.

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 3322?

Answer: Factors of 3322 are 1, 2, 11, 22, 151, 302, 1661, 3322. There are 8 integers that are factors of 3322. The greatest factor of 3322 is 3322.

4. How to Find the LCM of 3315 and 3322?

Answer:

Least Common Multiple of 3315 and 3322 = 11012430

Step 1: Find the prime factorization of 3315

3315 = 3 x 5 x 13 x 17

Step 2: Find the prime factorization of 3322

3322 = 2 x 11 x 151

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

LCM = 11012430 = 2 x 3 x 5 x 11 x 13 x 17 x 151

Step 4: Therefore, the least common multiple of 3315 and 3322 is 11012430.