Least Common Multiple of 289 and 297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 289 and 297 the smallest integer that is 85833 that is divisible by both numbers.

Least Common Multiple (LCM) of 289 and 297 is 85833.

LCM(289,297) = 85833

LCM of 289 and 297

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

LCM of:
and

Least Common Multiple of 289 and 297

LCM of 289 and 297 is 85833

Least common multiple can be found by multiplying the highest exponent prime factors of 289 and 297. First we will calculate the prime factors of 289 and 297.

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

Prime Factorization of 297


3 297
3 99
3 33
11 11
1

Prime factors of 297 are 3,11. Prime factorization of 297 in exponential form is:

297 = 33×111

Now multiplying the highest exponent prime factors to calculate the LCM of 289 and 297.

LCM(289,297) = 33×111×172
LCM(289,297) = 85833

Factors of 289

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

1, 17, 289

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Least Common Multiple of 289 and 297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 289 and 297, than apply into the LCM equation.

GCF(289,297) = 1
LCM(289,297) = ( 289 × 297) / 1
LCM(289,297) = 85833 / 1
LCM(289,297) = 85833

Properties of LCM 289 and 297

(i) The LCM of 297 and 289 is associative

LCM of 289 and 297 = LCM of 297 and 289

Related Least Common Multiples of 289

Related Least Common Multiples of 297

Frequently Asked Questions on LCM of 289 and 297

1. What is the LCM of 289 and 297?

Answer: LCM of 289 and 297 is 85833.

2. 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.

3. What are the Factors of 297?

Answer: Factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297. There are 8 integers that are factors of 297. The greatest factor of 297 is 297.

4. How to Find the LCM of 289 and 297?

Answer:

Least Common Multiple of 289 and 297 = 85833

Step 1: Find the prime factorization of 289

289 = 17 x 17

Step 2: Find the prime factorization of 297

297 = 3 x 3 x 3 x 11

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

LCM = 85833 = 3 x 3 x 3 x 11 x 17 x 17

Step 4: Therefore, the least common multiple of 289 and 297 is 85833.