Least Common Multiple of 3317 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 3317 and 3323 the smallest integer that is 11022391 that is divisible by both numbers.

Least Common Multiple (LCM) of 3317 and 3323 is 11022391.

LCM(3317,3323) = 11022391

LCM of 3317 and 3323

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

LCM of:
and

Least Common Multiple of 3317 and 3323

LCM of 3317 and 3323 is 11022391

Least common multiple can be found by multiplying the highest exponent prime factors of 3317 and 3323. First we will calculate the prime factors of 3317 and 3323.

Prime Factorization of 3317


31 3317
107 107
1

Prime factors of 3317 are 31,107. Prime factorization of 3317 in exponential form is:

3317 = 311×1071

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 3317 and 3323.

LCM(3317,3323) = 311×1071×33231
LCM(3317,3323) = 11022391

Factors of 3317

List of positive integer factors of 3317 that divides 3317 without a remainder.

1, 31, 107, 3317

Factors of 3323

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

1, 3323

Least Common Multiple of 3317 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 3317 and 3323, than apply into the LCM equation.

GCF(3317,3323) = 1
LCM(3317,3323) = ( 3317 × 3323) / 1
LCM(3317,3323) = 11022391 / 1
LCM(3317,3323) = 11022391

Properties of LCM 3317 and 3323

(i) The LCM of 3323 and 3317 is associative

LCM of 3317 and 3323 = LCM of 3323 and 3317

Related Least Common Multiples of 3317

Related Least Common Multiples of 3323

Frequently Asked Questions on LCM of 3317 and 3323

1. What is the LCM of 3317 and 3323?

Answer: LCM of 3317 and 3323 is 11022391.

2. What are the Factors of 3317?

Answer: Factors of 3317 are 1, 31, 107, 3317. There are 4 integers that are factors of 3317. The greatest factor of 3317 is 3317.

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 3317 and 3323?

Answer:

Least Common Multiple of 3317 and 3323 = 11022391

Step 1: Find the prime factorization of 3317

3317 = 31 x 107

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 = 11022391 = 31 x 107 x 3323

Step 4: Therefore, the least common multiple of 3317 and 3323 is 11022391.