Least Common Multiple of 3289 and 3297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3289 and 3297 the smallest integer that is 10843833 that is divisible by both numbers.

Least Common Multiple (LCM) of 3289 and 3297 is 10843833.

LCM(3289,3297) = 10843833

LCM of 3289 and 3297

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

LCM of:
and

Least Common Multiple of 3289 and 3297

LCM of 3289 and 3297 is 10843833

Least common multiple can be found by multiplying the highest exponent prime factors of 3289 and 3297. First we will calculate the prime factors of 3289 and 3297.

Prime Factorization of 3289


11 3289
13 299
23 23
1

Prime factors of 3289 are 11, 13,23. Prime factorization of 3289 in exponential form is:

3289 = 111×131×231

Prime Factorization of 3297


3 3297
7 1099
157 157
1

Prime factors of 3297 are 3, 7,157. Prime factorization of 3297 in exponential form is:

3297 = 31×71×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 3289 and 3297.

LCM(3289,3297) = 31×71×111×131×231×1571
LCM(3289,3297) = 10843833

Factors of 3289

List of positive integer factors of 3289 that divides 3289 without a remainder.

1, 11, 13, 23, 143, 253, 299, 3289

Factors of 3297

List of positive integer factors of 3297 that divides 3297 without a remainder.

1, 3, 7, 21, 157, 471, 1099, 3297

Least Common Multiple of 3289 and 3297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3289 and 3297, than apply into the LCM equation.

GCF(3289,3297) = 1
LCM(3289,3297) = ( 3289 × 3297) / 1
LCM(3289,3297) = 10843833 / 1
LCM(3289,3297) = 10843833

Properties of LCM 3289 and 3297

(i) The LCM of 3297 and 3289 is associative

LCM of 3289 and 3297 = LCM of 3297 and 3289

Related Least Common Multiples of 3289

Related Least Common Multiples of 3297

Frequently Asked Questions on LCM of 3289 and 3297

1. What is the LCM of 3289 and 3297?

Answer: LCM of 3289 and 3297 is 10843833.

2. What are the Factors of 3289?

Answer: Factors of 3289 are 1, 11, 13, 23, 143, 253, 299, 3289. There are 8 integers that are factors of 3289. The greatest factor of 3289 is 3289.

3. What are the Factors of 3297?

Answer: Factors of 3297 are 1, 3, 7, 21, 157, 471, 1099, 3297. There are 8 integers that are factors of 3297. The greatest factor of 3297 is 3297.

4. How to Find the LCM of 3289 and 3297?

Answer:

Least Common Multiple of 3289 and 3297 = 10843833

Step 1: Find the prime factorization of 3289

3289 = 11 x 13 x 23

Step 2: Find the prime factorization of 3297

3297 = 3 x 7 x 157

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

LCM = 10843833 = 3 x 7 x 11 x 13 x 23 x 157

Step 4: Therefore, the least common multiple of 3289 and 3297 is 10843833.