Least Common Multiple of 1280 and 1284

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 1284 the smallest integer that is 410880 that is divisible by both numbers.

Least Common Multiple (LCM) of 1280 and 1284 is 410880.

LCM(1280,1284) = 410880

LCM of 1280 and 1284

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

LCM of:
and

Least Common Multiple of 1280 and 1284

LCM of 1280 and 1284 is 410880

Least common multiple can be found by multiplying the highest exponent prime factors of 1280 and 1284. First we will calculate the prime factors of 1280 and 1284.

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 1284


2 1284
2 642
3 321
107 107
1

Prime factors of 1284 are 2, 3,107. Prime factorization of 1284 in exponential form is:

1284 = 22×31×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1280 and 1284.

LCM(1280,1284) = 28×31×51×1071
LCM(1280,1284) = 410880

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 1284

List of positive integer factors of 1284 that divides 1284 without a remainder.

1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284

Least Common Multiple of 1280 and 1284 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 1284, than apply into the LCM equation.

GCF(1280,1284) = 4
LCM(1280,1284) = ( 1280 × 1284) / 4
LCM(1280,1284) = 1643520 / 4
LCM(1280,1284) = 410880

Properties of LCM 1280 and 1284

(i) The LCM of 1284 and 1280 is associative

LCM of 1280 and 1284 = LCM of 1284 and 1280

Related Least Common Multiples of 1280

Related Least Common Multiples of 1284

Frequently Asked Questions on LCM of 1280 and 1284

1. What is the LCM of 1280 and 1284?

Answer: LCM of 1280 and 1284 is 410880.

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 1284?

Answer: Factors of 1284 are 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284. There are 12 integers that are factors of 1284. The greatest factor of 1284 is 1284.

4. How to Find the LCM of 1280 and 1284?

Answer:

Least Common Multiple of 1280 and 1284 = 410880

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 1284

1284 = 2 x 2 x 3 x 107

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

LCM = 410880 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 107

Step 4: Therefore, the least common multiple of 1280 and 1284 is 410880.