Least Common Multiple of 3281 and 3289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3281 and 3289 the smallest integer that is 10791209 that is divisible by both numbers.

Least Common Multiple (LCM) of 3281 and 3289 is 10791209.

LCM(3281,3289) = 10791209

LCM of 3281 and 3289

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

LCM of:
and

Least Common Multiple of 3281 and 3289

LCM of 3281 and 3289 is 10791209

Least common multiple can be found by multiplying the highest exponent prime factors of 3281 and 3289. First we will calculate the prime factors of 3281 and 3289.

Prime Factorization of 3281


17 3281
193 193
1

Prime factors of 3281 are 17,193. Prime factorization of 3281 in exponential form is:

3281 = 171×1931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3281 and 3289.

LCM(3281,3289) = 111×131×171×231×1931
LCM(3281,3289) = 10791209

Factors of 3281

List of positive integer factors of 3281 that divides 3281 without a remainder.

1, 17, 193, 3281

Factors of 3289

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

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

Least Common Multiple of 3281 and 3289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3281 and 3289, than apply into the LCM equation.

GCF(3281,3289) = 1
LCM(3281,3289) = ( 3281 × 3289) / 1
LCM(3281,3289) = 10791209 / 1
LCM(3281,3289) = 10791209

Properties of LCM 3281 and 3289

(i) The LCM of 3289 and 3281 is associative

LCM of 3281 and 3289 = LCM of 3289 and 3281

Related Least Common Multiples of 3281

Related Least Common Multiples of 3289

Frequently Asked Questions on LCM of 3281 and 3289

1. What is the LCM of 3281 and 3289?

Answer: LCM of 3281 and 3289 is 10791209.

2. What are the Factors of 3281?

Answer: Factors of 3281 are 1, 17, 193, 3281. There are 4 integers that are factors of 3281. The greatest factor of 3281 is 3281.

3. 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.

4. How to Find the LCM of 3281 and 3289?

Answer:

Least Common Multiple of 3281 and 3289 = 10791209

Step 1: Find the prime factorization of 3281

3281 = 17 x 193

Step 2: Find the prime factorization of 3289

3289 = 11 x 13 x 23

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

LCM = 10791209 = 11 x 13 x 17 x 23 x 193

Step 4: Therefore, the least common multiple of 3281 and 3289 is 10791209.