Least Common Multiple of 282 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 282 and 287 the smallest integer that is 80934 that is divisible by both numbers.

Least Common Multiple (LCM) of 282 and 287 is 80934.

LCM(282,287) = 80934

LCM of 282 and 287

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

LCM of:
and

Least Common Multiple of 282 and 287

LCM of 282 and 287 is 80934

Least common multiple can be found by multiplying the highest exponent prime factors of 282 and 287. First we will calculate the prime factors of 282 and 287.

Prime Factorization of 282


2 282
3 141
47 47
1

Prime factors of 282 are 2, 3,47. Prime factorization of 282 in exponential form is:

282 = 21×31×471

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 282 and 287.

LCM(282,287) = 21×31×71×411×471
LCM(282,287) = 80934

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Factors of 287

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

1, 7, 41, 287

Least Common Multiple of 282 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 282 and 287, than apply into the LCM equation.

GCF(282,287) = 1
LCM(282,287) = ( 282 × 287) / 1
LCM(282,287) = 80934 / 1
LCM(282,287) = 80934

Properties of LCM 282 and 287

(i) The LCM of 287 and 282 is associative

LCM of 282 and 287 = LCM of 287 and 282

Related Least Common Multiples of 282

Related Least Common Multiples of 287

Frequently Asked Questions on LCM of 282 and 287

1. What is the LCM of 282 and 287?

Answer: LCM of 282 and 287 is 80934.

2. What are the Factors of 282?

Answer: Factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282. There are 8 integers that are factors of 282. The greatest factor of 282 is 282.

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 282 and 287?

Answer:

Least Common Multiple of 282 and 287 = 80934

Step 1: Find the prime factorization of 282

282 = 2 x 3 x 47

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 = 80934 = 2 x 3 x 7 x 41 x 47

Step 4: Therefore, the least common multiple of 282 and 287 is 80934.