Least Common Multiple of 3281 and 3282

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 3282 the smallest integer that is 10768242 that is divisible by both numbers.

Least Common Multiple (LCM) of 3281 and 3282 is 10768242.

LCM(3281,3282) = 10768242

LCM of 3281 and 3282

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

LCM of:
and

Least Common Multiple of 3281 and 3282

LCM of 3281 and 3282 is 10768242

Least common multiple can be found by multiplying the highest exponent prime factors of 3281 and 3282. First we will calculate the prime factors of 3281 and 3282.

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 3282


2 3282
3 1641
547 547
1

Prime factors of 3282 are 2, 3,547. Prime factorization of 3282 in exponential form is:

3282 = 21×31×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 3281 and 3282.

LCM(3281,3282) = 21×31×171×1931×5471
LCM(3281,3282) = 10768242

Factors of 3281

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

1, 17, 193, 3281

Factors of 3282

List of positive integer factors of 3282 that divides 3282 without a remainder.

1, 2, 3, 6, 547, 1094, 1641, 3282

Least Common Multiple of 3281 and 3282 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 3282, than apply into the LCM equation.

GCF(3281,3282) = 1
LCM(3281,3282) = ( 3281 × 3282) / 1
LCM(3281,3282) = 10768242 / 1
LCM(3281,3282) = 10768242

Properties of LCM 3281 and 3282

(i) The LCM of 3282 and 3281 is associative

LCM of 3281 and 3282 = LCM of 3282 and 3281

Related Least Common Multiples of 3281

Related Least Common Multiples of 3282

Frequently Asked Questions on LCM of 3281 and 3282

1. What is the LCM of 3281 and 3282?

Answer: LCM of 3281 and 3282 is 10768242.

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 3282?

Answer: Factors of 3282 are 1, 2, 3, 6, 547, 1094, 1641, 3282. There are 8 integers that are factors of 3282. The greatest factor of 3282 is 3282.

4. How to Find the LCM of 3281 and 3282?

Answer:

Least Common Multiple of 3281 and 3282 = 10768242

Step 1: Find the prime factorization of 3281

3281 = 17 x 193

Step 2: Find the prime factorization of 3282

3282 = 2 x 3 x 547

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

LCM = 10768242 = 2 x 3 x 17 x 193 x 547

Step 4: Therefore, the least common multiple of 3281 and 3282 is 10768242.