Least Common Multiple of 287 and 289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 287 and 289 the smallest integer that is 82943 that is divisible by both numbers.

Least Common Multiple (LCM) of 287 and 289 is 82943.

LCM(287,289) = 82943

LCM of 287 and 289

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

LCM of:
and

Least Common Multiple of 287 and 289

LCM of 287 and 289 is 82943

Least common multiple can be found by multiplying the highest exponent prime factors of 287 and 289. First we will calculate the prime factors of 287 and 289.

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

Prime Factorization of 289


17 289
17 17
1

Prime factors of 289 are 17. Prime factorization of 289 in exponential form is:

289 = 172

Now multiplying the highest exponent prime factors to calculate the LCM of 287 and 289.

LCM(287,289) = 71×172×411
LCM(287,289) = 82943

Factors of 287

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

1, 7, 41, 287

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1, 17, 289

Least Common Multiple of 287 and 289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 287 and 289, than apply into the LCM equation.

GCF(287,289) = 1
LCM(287,289) = ( 287 × 289) / 1
LCM(287,289) = 82943 / 1
LCM(287,289) = 82943

Properties of LCM 287 and 289

(i) The LCM of 289 and 287 is associative

LCM of 287 and 289 = LCM of 289 and 287

Related Least Common Multiples of 287

Related Least Common Multiples of 289

Frequently Asked Questions on LCM of 287 and 289

1. What is the LCM of 287 and 289?

Answer: LCM of 287 and 289 is 82943.

2. 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.

3. What are the Factors of 289?

Answer: Factors of 289 are 1, 17, 289. There are 3 integers that are factors of 289. The greatest factor of 289 is 289.

4. How to Find the LCM of 287 and 289?

Answer:

Least Common Multiple of 287 and 289 = 82943

Step 1: Find the prime factorization of 287

287 = 7 x 41

Step 2: Find the prime factorization of 289

289 = 17 x 17

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

LCM = 82943 = 7 x 17 x 17 x 41

Step 4: Therefore, the least common multiple of 287 and 289 is 82943.