Least Common Multiple of 3289 and 3296

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 3296 the smallest integer that is 10840544 that is divisible by both numbers.

Least Common Multiple (LCM) of 3289 and 3296 is 10840544.

LCM(3289,3296) = 10840544

LCM of 3289 and 3296

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

LCM of:
and

Least Common Multiple of 3289 and 3296

LCM of 3289 and 3296 is 10840544

Least common multiple can be found by multiplying the highest exponent prime factors of 3289 and 3296. First we will calculate the prime factors of 3289 and 3296.

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 3296


2 3296
2 1648
2 824
2 412
2 206
103 103
1

Prime factors of 3296 are 2,103. Prime factorization of 3296 in exponential form is:

3296 = 25×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 3289 and 3296.

LCM(3289,3296) = 25×111×131×231×1031
LCM(3289,3296) = 10840544

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 3296

List of positive integer factors of 3296 that divides 3296 without a remainder.

1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648, 3296

Least Common Multiple of 3289 and 3296 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 3296, than apply into the LCM equation.

GCF(3289,3296) = 1
LCM(3289,3296) = ( 3289 × 3296) / 1
LCM(3289,3296) = 10840544 / 1
LCM(3289,3296) = 10840544

Properties of LCM 3289 and 3296

(i) The LCM of 3296 and 3289 is associative

LCM of 3289 and 3296 = LCM of 3296 and 3289

Related Least Common Multiples of 3289

Related Least Common Multiples of 3296

Frequently Asked Questions on LCM of 3289 and 3296

1. What is the LCM of 3289 and 3296?

Answer: LCM of 3289 and 3296 is 10840544.

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 3296?

Answer: Factors of 3296 are 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648, 3296. There are 12 integers that are factors of 3296. The greatest factor of 3296 is 3296.

4. How to Find the LCM of 3289 and 3296?

Answer:

Least Common Multiple of 3289 and 3296 = 10840544

Step 1: Find the prime factorization of 3289

3289 = 11 x 13 x 23

Step 2: Find the prime factorization of 3296

3296 = 2 x 2 x 2 x 2 x 2 x 103

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

LCM = 10840544 = 2 x 2 x 2 x 2 x 2 x 11 x 13 x 23 x 103

Step 4: Therefore, the least common multiple of 3289 and 3296 is 10840544.