Least Common Multiple of 3316 and 3323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3316 and 3323 the smallest integer that is 11019068 that is divisible by both numbers.

Least Common Multiple (LCM) of 3316 and 3323 is 11019068.

LCM(3316,3323) = 11019068

LCM of 3316 and 3323

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

LCM of:
and

Least Common Multiple of 3316 and 3323

LCM of 3316 and 3323 is 11019068

Least common multiple can be found by multiplying the highest exponent prime factors of 3316 and 3323. First we will calculate the prime factors of 3316 and 3323.

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

Prime Factorization of 3323


3323 3323
1

Prime factors of 3323 are 3323. Prime factorization of 3323 in exponential form is:

3323 = 33231

Now multiplying the highest exponent prime factors to calculate the LCM of 3316 and 3323.

LCM(3316,3323) = 22×8291×33231
LCM(3316,3323) = 11019068

Factors of 3316

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

1, 2, 4, 829, 1658, 3316

Factors of 3323

List of positive integer factors of 3323 that divides 3323 without a remainder.

1, 3323

Least Common Multiple of 3316 and 3323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3316 and 3323, than apply into the LCM equation.

GCF(3316,3323) = 1
LCM(3316,3323) = ( 3316 × 3323) / 1
LCM(3316,3323) = 11019068 / 1
LCM(3316,3323) = 11019068

Properties of LCM 3316 and 3323

(i) The LCM of 3323 and 3316 is associative

LCM of 3316 and 3323 = LCM of 3323 and 3316

Related Least Common Multiples of 3316

Related Least Common Multiples of 3323

Frequently Asked Questions on LCM of 3316 and 3323

1. What is the LCM of 3316 and 3323?

Answer: LCM of 3316 and 3323 is 11019068.

2. 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.

3. What are the Factors of 3323?

Answer: Factors of 3323 are 1, 3323. There are 2 integers that are factors of 3323. The greatest factor of 3323 is 3323.

4. How to Find the LCM of 3316 and 3323?

Answer:

Least Common Multiple of 3316 and 3323 = 11019068

Step 1: Find the prime factorization of 3316

3316 = 2 x 2 x 829

Step 2: Find the prime factorization of 3323

3323 = 3323

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

LCM = 11019068 = 2 x 2 x 829 x 3323

Step 4: Therefore, the least common multiple of 3316 and 3323 is 11019068.