Least Common Multiple of 3280 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 3280 and 3282 the smallest integer that is 5382480 that is divisible by both numbers.

Least Common Multiple (LCM) of 3280 and 3282 is 5382480.

LCM(3280,3282) = 5382480

LCM of 3280 and 3282

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

LCM of:
and

Least Common Multiple of 3280 and 3282

LCM of 3280 and 3282 is 5382480

Least common multiple can be found by multiplying the highest exponent prime factors of 3280 and 3282. First we will calculate the prime factors of 3280 and 3282.

Prime Factorization of 3280


2 3280
2 1640
2 820
2 410
5 205
41 41
1

Prime factors of 3280 are 2, 5,41. Prime factorization of 3280 in exponential form is:

3280 = 24×51×411

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 3280 and 3282.

LCM(3280,3282) = 24×31×51×411×5471
LCM(3280,3282) = 5382480

Factors of 3280

List of positive integer factors of 3280 that divides 3280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280

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 3280 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 3280 and 3282, than apply into the LCM equation.

GCF(3280,3282) = 2
LCM(3280,3282) = ( 3280 × 3282) / 2
LCM(3280,3282) = 10764960 / 2
LCM(3280,3282) = 5382480

Properties of LCM 3280 and 3282

(i) The LCM of 3282 and 3280 is associative

LCM of 3280 and 3282 = LCM of 3282 and 3280

Related Least Common Multiples of 3280

Related Least Common Multiples of 3282

Frequently Asked Questions on LCM of 3280 and 3282

1. What is the LCM of 3280 and 3282?

Answer: LCM of 3280 and 3282 is 5382480.

2. What are the Factors of 3280?

Answer: Factors of 3280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280. There are 20 integers that are factors of 3280. The greatest factor of 3280 is 3280.

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 3280 and 3282?

Answer:

Least Common Multiple of 3280 and 3282 = 5382480

Step 1: Find the prime factorization of 3280

3280 = 2 x 2 x 2 x 2 x 5 x 41

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 = 5382480 = 2 x 2 x 2 x 2 x 3 x 5 x 41 x 547

Step 4: Therefore, the least common multiple of 3280 and 3282 is 5382480.