Least Common Multiple of 286 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 286 and 289 the smallest integer that is 82654 that is divisible by both numbers.

Least Common Multiple (LCM) of 286 and 289 is 82654.

LCM(286,289) = 82654

LCM of 286 and 289

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

LCM of:
and

Least Common Multiple of 286 and 289

LCM of 286 and 289 is 82654

Least common multiple can be found by multiplying the highest exponent prime factors of 286 and 289. First we will calculate the prime factors of 286 and 289.

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 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 286 and 289.

LCM(286,289) = 21×111×131×172
LCM(286,289) = 82654

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 289

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

1, 17, 289

Least Common Multiple of 286 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 286 and 289, than apply into the LCM equation.

GCF(286,289) = 1
LCM(286,289) = ( 286 × 289) / 1
LCM(286,289) = 82654 / 1
LCM(286,289) = 82654

Properties of LCM 286 and 289

(i) The LCM of 289 and 286 is associative

LCM of 286 and 289 = LCM of 289 and 286

Related Least Common Multiples of 286

Related Least Common Multiples of 289

Frequently Asked Questions on LCM of 286 and 289

1. What is the LCM of 286 and 289?

Answer: LCM of 286 and 289 is 82654.

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 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 286 and 289?

Answer:

Least Common Multiple of 286 and 289 = 82654

Step 1: Find the prime factorization of 286

286 = 2 x 11 x 13

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 = 82654 = 2 x 11 x 13 x 17 x 17

Step 4: Therefore, the least common multiple of 286 and 289 is 82654.