Least Common Multiple of 1280 and 1286

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 1286 the smallest integer that is 823040 that is divisible by both numbers.

Least Common Multiple (LCM) of 1280 and 1286 is 823040.

LCM(1280,1286) = 823040

LCM of 1280 and 1286

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

LCM of:
and

Least Common Multiple of 1280 and 1286

LCM of 1280 and 1286 is 823040

Least common multiple can be found by multiplying the highest exponent prime factors of 1280 and 1286. First we will calculate the prime factors of 1280 and 1286.

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 1286


2 1286
643 643
1

Prime factors of 1286 are 2,643. Prime factorization of 1286 in exponential form is:

1286 = 21×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 1280 and 1286.

LCM(1280,1286) = 28×51×6431
LCM(1280,1286) = 823040

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 1286

List of positive integer factors of 1286 that divides 1286 without a remainder.

1, 2, 643, 1286

Least Common Multiple of 1280 and 1286 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 1286, than apply into the LCM equation.

GCF(1280,1286) = 2
LCM(1280,1286) = ( 1280 × 1286) / 2
LCM(1280,1286) = 1646080 / 2
LCM(1280,1286) = 823040

Properties of LCM 1280 and 1286

(i) The LCM of 1286 and 1280 is associative

LCM of 1280 and 1286 = LCM of 1286 and 1280

Related Least Common Multiples of 1280

Related Least Common Multiples of 1286

Frequently Asked Questions on LCM of 1280 and 1286

1. What is the LCM of 1280 and 1286?

Answer: LCM of 1280 and 1286 is 823040.

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 1286?

Answer: Factors of 1286 are 1, 2, 643, 1286. There are 4 integers that are factors of 1286. The greatest factor of 1286 is 1286.

4. How to Find the LCM of 1280 and 1286?

Answer:

Least Common Multiple of 1280 and 1286 = 823040

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 1286

1286 = 2 x 643

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

LCM = 823040 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 643

Step 4: Therefore, the least common multiple of 1280 and 1286 is 823040.