Least Common Multiple of 283 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 283 and 289 the smallest integer that is 81787 that is divisible by both numbers.

Least Common Multiple (LCM) of 283 and 289 is 81787.

LCM(283,289) = 81787

LCM of 283 and 289

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

LCM of:
and

Least Common Multiple of 283 and 289

LCM of 283 and 289 is 81787

Least common multiple can be found by multiplying the highest exponent prime factors of 283 and 289. First we will calculate the prime factors of 283 and 289.

Prime Factorization of 283


283 283
1

Prime factors of 283 are 283. Prime factorization of 283 in exponential form is:

283 = 2831

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 283 and 289.

LCM(283,289) = 172×2831
LCM(283,289) = 81787

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1, 283

Factors of 289

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

1, 17, 289

Least Common Multiple of 283 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 283 and 289, than apply into the LCM equation.

GCF(283,289) = 1
LCM(283,289) = ( 283 × 289) / 1
LCM(283,289) = 81787 / 1
LCM(283,289) = 81787

Properties of LCM 283 and 289

(i) The LCM of 289 and 283 is associative

LCM of 283 and 289 = LCM of 289 and 283

Related Least Common Multiples of 283

Related Least Common Multiples of 289

Frequently Asked Questions on LCM of 283 and 289

1. What is the LCM of 283 and 289?

Answer: LCM of 283 and 289 is 81787.

2. What are the Factors of 283?

Answer: Factors of 283 are 1, 283. There are 2 integers that are factors of 283. The greatest factor of 283 is 283.

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 283 and 289?

Answer:

Least Common Multiple of 283 and 289 = 81787

Step 1: Find the prime factorization of 283

283 = 283

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 = 81787 = 17 x 17 x 283

Step 4: Therefore, the least common multiple of 283 and 289 is 81787.