Least Common Multiple of 3280 and 3287

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 3287 the smallest integer that is 10781360 that is divisible by both numbers.

Least Common Multiple (LCM) of 3280 and 3287 is 10781360.

LCM(3280,3287) = 10781360

LCM of 3280 and 3287

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

LCM of:
and

Least Common Multiple of 3280 and 3287

LCM of 3280 and 3287 is 10781360

Least common multiple can be found by multiplying the highest exponent prime factors of 3280 and 3287. First we will calculate the prime factors of 3280 and 3287.

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 3287


19 3287
173 173
1

Prime factors of 3287 are 19,173. Prime factorization of 3287 in exponential form is:

3287 = 191×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 3280 and 3287.

LCM(3280,3287) = 24×51×191×411×1731
LCM(3280,3287) = 10781360

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 3287

List of positive integer factors of 3287 that divides 3287 without a remainder.

1, 19, 173, 3287

Least Common Multiple of 3280 and 3287 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 3287, than apply into the LCM equation.

GCF(3280,3287) = 1
LCM(3280,3287) = ( 3280 × 3287) / 1
LCM(3280,3287) = 10781360 / 1
LCM(3280,3287) = 10781360

Properties of LCM 3280 and 3287

(i) The LCM of 3287 and 3280 is associative

LCM of 3280 and 3287 = LCM of 3287 and 3280

Related Least Common Multiples of 3280

Related Least Common Multiples of 3287

Frequently Asked Questions on LCM of 3280 and 3287

1. What is the LCM of 3280 and 3287?

Answer: LCM of 3280 and 3287 is 10781360.

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 3287?

Answer: Factors of 3287 are 1, 19, 173, 3287. There are 4 integers that are factors of 3287. The greatest factor of 3287 is 3287.

4. How to Find the LCM of 3280 and 3287?

Answer:

Least Common Multiple of 3280 and 3287 = 10781360

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 3287

3287 = 19 x 173

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

LCM = 10781360 = 2 x 2 x 2 x 2 x 5 x 19 x 41 x 173

Step 4: Therefore, the least common multiple of 3280 and 3287 is 10781360.