Least Common Multiple of 280 and 287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 280 and 287 the smallest integer that is 11480 that is divisible by both numbers.

Least Common Multiple (LCM) of 280 and 287 is 11480.

LCM(280,287) = 11480

LCM of 280 and 287

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

LCM of:
and

Least Common Multiple of 280 and 287

LCM of 280 and 287 is 11480

Least common multiple can be found by multiplying the highest exponent prime factors of 280 and 287. First we will calculate the prime factors of 280 and 287.

Prime Factorization of 280


2 280
2 140
2 70
5 35
7 7
1

Prime factors of 280 are 2, 5,7. Prime factorization of 280 in exponential form is:

280 = 23×51×71

Prime Factorization of 287


7 287
41 41
1

Prime factors of 287 are 7,41. Prime factorization of 287 in exponential form is:

287 = 71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 280 and 287.

LCM(280,287) = 23×51×71×411
LCM(280,287) = 11480

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Least Common Multiple of 280 and 287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 280 and 287, than apply into the LCM equation.

GCF(280,287) = 7
LCM(280,287) = ( 280 × 287) / 7
LCM(280,287) = 80360 / 7
LCM(280,287) = 11480

Properties of LCM 280 and 287

(i) The LCM of 287 and 280 is associative

LCM of 280 and 287 = LCM of 287 and 280

Related Least Common Multiples of 280

Related Least Common Multiples of 287

Frequently Asked Questions on LCM of 280 and 287

1. What is the LCM of 280 and 287?

Answer: LCM of 280 and 287 is 11480.

2. What are the Factors of 280?

Answer: Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. There are 16 integers that are factors of 280. The greatest factor of 280 is 280.

3. What are the Factors of 287?

Answer: Factors of 287 are 1, 7, 41, 287. There are 4 integers that are factors of 287. The greatest factor of 287 is 287.

4. How to Find the LCM of 280 and 287?

Answer:

Least Common Multiple of 280 and 287 = 11480

Step 1: Find the prime factorization of 280

280 = 2 x 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 287

287 = 7 x 41

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

LCM = 11480 = 2 x 2 x 2 x 5 x 7 x 41

Step 4: Therefore, the least common multiple of 280 and 287 is 11480.