Least Common Multiple of 289 and 291

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 291 the smallest integer that is 84099 that is divisible by both numbers.

Least Common Multiple (LCM) of 289 and 291 is 84099.

LCM(289,291) = 84099

LCM of 289 and 291

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

LCM of:
and

Least Common Multiple of 289 and 291

LCM of 289 and 291 is 84099

Least common multiple can be found by multiplying the highest exponent prime factors of 289 and 291. First we will calculate the prime factors of 289 and 291.

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 291


3 291
97 97
1

Prime factors of 291 are 3,97. Prime factorization of 291 in exponential form is:

291 = 31×971

Now multiplying the highest exponent prime factors to calculate the LCM of 289 and 291.

LCM(289,291) = 31×172×971
LCM(289,291) = 84099

Factors of 289

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

1, 17, 289

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Least Common Multiple of 289 and 291 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 291, than apply into the LCM equation.

GCF(289,291) = 1
LCM(289,291) = ( 289 × 291) / 1
LCM(289,291) = 84099 / 1
LCM(289,291) = 84099

Properties of LCM 289 and 291

(i) The LCM of 291 and 289 is associative

LCM of 289 and 291 = LCM of 291 and 289

Related Least Common Multiples of 289

Related Least Common Multiples of 291

Frequently Asked Questions on LCM of 289 and 291

1. What is the LCM of 289 and 291?

Answer: LCM of 289 and 291 is 84099.

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 291?

Answer: Factors of 291 are 1, 3, 97, 291. There are 4 integers that are factors of 291. The greatest factor of 291 is 291.

4. How to Find the LCM of 289 and 291?

Answer:

Least Common Multiple of 289 and 291 = 84099

Step 1: Find the prime factorization of 289

289 = 17 x 17

Step 2: Find the prime factorization of 291

291 = 3 x 97

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

LCM = 84099 = 3 x 17 x 17 x 97

Step 4: Therefore, the least common multiple of 289 and 291 is 84099.