Least Common Multiple of 286 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 286 and 287 the smallest integer that is 82082 that is divisible by both numbers.

Least Common Multiple (LCM) of 286 and 287 is 82082.

LCM(286,287) = 82082

LCM of 286 and 287

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

LCM of:
and

Least Common Multiple of 286 and 287

LCM of 286 and 287 is 82082

Least common multiple can be found by multiplying the highest exponent prime factors of 286 and 287. First we will calculate the prime factors of 286 and 287.

Prime Factorization of 286


2 286
11 143
13 13
1

Prime factors of 286 are 2, 11,13. Prime factorization of 286 in exponential form is:

286 = 21×111×131

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 286 and 287.

LCM(286,287) = 21×71×111×131×411
LCM(286,287) = 82082

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Factors of 287

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

1, 7, 41, 287

Least Common Multiple of 286 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 286 and 287, than apply into the LCM equation.

GCF(286,287) = 1
LCM(286,287) = ( 286 × 287) / 1
LCM(286,287) = 82082 / 1
LCM(286,287) = 82082

Properties of LCM 286 and 287

(i) The LCM of 287 and 286 is associative

LCM of 286 and 287 = LCM of 287 and 286

Related Least Common Multiples of 286

Related Least Common Multiples of 287

Frequently Asked Questions on LCM of 286 and 287

1. What is the LCM of 286 and 287?

Answer: LCM of 286 and 287 is 82082.

2. What are the Factors of 286?

Answer: Factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286. There are 8 integers that are factors of 286. The greatest factor of 286 is 286.

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 286 and 287?

Answer:

Least Common Multiple of 286 and 287 = 82082

Step 1: Find the prime factorization of 286

286 = 2 x 11 x 13

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 = 82082 = 2 x 7 x 11 x 13 x 41

Step 4: Therefore, the least common multiple of 286 and 287 is 82082.