Least Common Multiple of 1280 and 1287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1280 and 1287 the smallest integer that is 1647360 that is divisible by both numbers.

Least Common Multiple (LCM) of 1280 and 1287 is 1647360.

LCM(1280,1287) = 1647360

LCM of 1280 and 1287

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

LCM of:
and

Least Common Multiple of 1280 and 1287

LCM of 1280 and 1287 is 1647360

Least common multiple can be found by multiplying the highest exponent prime factors of 1280 and 1287. First we will calculate the prime factors of 1280 and 1287.

Prime Factorization of 1280


2 1280
2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 1280 are 2,5. Prime factorization of 1280 in exponential form is:

1280 = 28×51

Prime Factorization of 1287


3 1287
3 429
11 143
13 13
1

Prime factors of 1287 are 3, 11,13. Prime factorization of 1287 in exponential form is:

1287 = 32×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1280 and 1287.

LCM(1280,1287) = 28×32×51×111×131
LCM(1280,1287) = 1647360

Factors of 1280

List of positive integer factors of 1280 that divides 1280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280

Factors of 1287

List of positive integer factors of 1287 that divides 1287 without a remainder.

1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287

Least Common Multiple of 1280 and 1287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1280 and 1287, than apply into the LCM equation.

GCF(1280,1287) = 1
LCM(1280,1287) = ( 1280 × 1287) / 1
LCM(1280,1287) = 1647360 / 1
LCM(1280,1287) = 1647360

Properties of LCM 1280 and 1287

(i) The LCM of 1287 and 1280 is associative

LCM of 1280 and 1287 = LCM of 1287 and 1280

Related Least Common Multiples of 1280

Related Least Common Multiples of 1287

Frequently Asked Questions on LCM of 1280 and 1287

1. What is the LCM of 1280 and 1287?

Answer: LCM of 1280 and 1287 is 1647360.

2. What are the Factors of 1280?

Answer: Factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280. There are 18 integers that are factors of 1280. The greatest factor of 1280 is 1280.

3. What are the Factors of 1287?

Answer: Factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287. There are 12 integers that are factors of 1287. The greatest factor of 1287 is 1287.

4. How to Find the LCM of 1280 and 1287?

Answer:

Least Common Multiple of 1280 and 1287 = 1647360

Step 1: Find the prime factorization of 1280

1280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 1287

1287 = 3 x 3 x 11 x 13

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

LCM = 1647360 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 13

Step 4: Therefore, the least common multiple of 1280 and 1287 is 1647360.