Least Common Multiple of 281 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 281 and 289 the smallest integer that is 81209 that is divisible by both numbers.

Least Common Multiple (LCM) of 281 and 289 is 81209.

LCM(281,289) = 81209

LCM of 281 and 289

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

LCM of:
and

Least Common Multiple of 281 and 289

LCM of 281 and 289 is 81209

Least common multiple can be found by multiplying the highest exponent prime factors of 281 and 289. First we will calculate the prime factors of 281 and 289.

Prime Factorization of 281


281 281
1

Prime factors of 281 are 281. Prime factorization of 281 in exponential form is:

281 = 2811

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 281 and 289.

LCM(281,289) = 172×2811
LCM(281,289) = 81209

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1, 281

Factors of 289

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

1, 17, 289

Least Common Multiple of 281 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 281 and 289, than apply into the LCM equation.

GCF(281,289) = 1
LCM(281,289) = ( 281 × 289) / 1
LCM(281,289) = 81209 / 1
LCM(281,289) = 81209

Properties of LCM 281 and 289

(i) The LCM of 289 and 281 is associative

LCM of 281 and 289 = LCM of 289 and 281

Related Least Common Multiples of 281

Related Least Common Multiples of 289

Frequently Asked Questions on LCM of 281 and 289

1. What is the LCM of 281 and 289?

Answer: LCM of 281 and 289 is 81209.

2. What are the Factors of 281?

Answer: Factors of 281 are 1, 281. There are 2 integers that are factors of 281. The greatest factor of 281 is 281.

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 281 and 289?

Answer:

Least Common Multiple of 281 and 289 = 81209

Step 1: Find the prime factorization of 281

281 = 281

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 = 81209 = 17 x 17 x 281

Step 4: Therefore, the least common multiple of 281 and 289 is 81209.