Least Common Multiple of 284 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 284 and 287 the smallest integer that is 81508 that is divisible by both numbers.

Least Common Multiple (LCM) of 284 and 287 is 81508.

LCM(284,287) = 81508

LCM of 284 and 287

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

LCM of:
and

Least Common Multiple of 284 and 287

LCM of 284 and 287 is 81508

Least common multiple can be found by multiplying the highest exponent prime factors of 284 and 287. First we will calculate the prime factors of 284 and 287.

Prime Factorization of 284


2 284
2 142
71 71
1

Prime factors of 284 are 2,71. Prime factorization of 284 in exponential form is:

284 = 22×711

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 284 and 287.

LCM(284,287) = 22×71×411×711
LCM(284,287) = 81508

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Factors of 287

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

1, 7, 41, 287

Least Common Multiple of 284 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 284 and 287, than apply into the LCM equation.

GCF(284,287) = 1
LCM(284,287) = ( 284 × 287) / 1
LCM(284,287) = 81508 / 1
LCM(284,287) = 81508

Properties of LCM 284 and 287

(i) The LCM of 287 and 284 is associative

LCM of 284 and 287 = LCM of 287 and 284

Related Least Common Multiples of 284

Related Least Common Multiples of 287

Frequently Asked Questions on LCM of 284 and 287

1. What is the LCM of 284 and 287?

Answer: LCM of 284 and 287 is 81508.

2. What are the Factors of 284?

Answer: Factors of 284 are 1, 2, 4, 71, 142, 284. There are 6 integers that are factors of 284. The greatest factor of 284 is 284.

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 284 and 287?

Answer:

Least Common Multiple of 284 and 287 = 81508

Step 1: Find the prime factorization of 284

284 = 2 x 2 x 71

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 = 81508 = 2 x 2 x 7 x 41 x 71

Step 4: Therefore, the least common multiple of 284 and 287 is 81508.