Least Common Multiple of 3280 and 3284

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 3284 the smallest integer that is 2692880 that is divisible by both numbers.

Least Common Multiple (LCM) of 3280 and 3284 is 2692880.

LCM(3280,3284) = 2692880

LCM of 3280 and 3284

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

LCM of:
and

Least Common Multiple of 3280 and 3284

LCM of 3280 and 3284 is 2692880

Least common multiple can be found by multiplying the highest exponent prime factors of 3280 and 3284. First we will calculate the prime factors of 3280 and 3284.

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 3284


2 3284
2 1642
821 821
1

Prime factors of 3284 are 2,821. Prime factorization of 3284 in exponential form is:

3284 = 22×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 3280 and 3284.

LCM(3280,3284) = 24×51×411×8211
LCM(3280,3284) = 2692880

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 3284

List of positive integer factors of 3284 that divides 3284 without a remainder.

1, 2, 4, 821, 1642, 3284

Least Common Multiple of 3280 and 3284 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 3284, than apply into the LCM equation.

GCF(3280,3284) = 4
LCM(3280,3284) = ( 3280 × 3284) / 4
LCM(3280,3284) = 10771520 / 4
LCM(3280,3284) = 2692880

Properties of LCM 3280 and 3284

(i) The LCM of 3284 and 3280 is associative

LCM of 3280 and 3284 = LCM of 3284 and 3280

Related Least Common Multiples of 3280

Related Least Common Multiples of 3284

Frequently Asked Questions on LCM of 3280 and 3284

1. What is the LCM of 3280 and 3284?

Answer: LCM of 3280 and 3284 is 2692880.

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 3284?

Answer: Factors of 3284 are 1, 2, 4, 821, 1642, 3284. There are 6 integers that are factors of 3284. The greatest factor of 3284 is 3284.

4. How to Find the LCM of 3280 and 3284?

Answer:

Least Common Multiple of 3280 and 3284 = 2692880

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 3284

3284 = 2 x 2 x 821

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

LCM = 2692880 = 2 x 2 x 2 x 2 x 5 x 41 x 821

Step 4: Therefore, the least common multiple of 3280 and 3284 is 2692880.