Least Common Multiple of 289 and 295

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 295 the smallest integer that is 85255 that is divisible by both numbers.

Least Common Multiple (LCM) of 289 and 295 is 85255.

LCM(289,295) = 85255

LCM of 289 and 295

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

LCM of:
and

Least Common Multiple of 289 and 295

LCM of 289 and 295 is 85255

Least common multiple can be found by multiplying the highest exponent prime factors of 289 and 295. First we will calculate the prime factors of 289 and 295.

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 295


5 295
59 59
1

Prime factors of 295 are 5,59. Prime factorization of 295 in exponential form is:

295 = 51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 289 and 295.

LCM(289,295) = 51×172×591
LCM(289,295) = 85255

Factors of 289

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

1, 17, 289

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Least Common Multiple of 289 and 295 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 295, than apply into the LCM equation.

GCF(289,295) = 1
LCM(289,295) = ( 289 × 295) / 1
LCM(289,295) = 85255 / 1
LCM(289,295) = 85255

Properties of LCM 289 and 295

(i) The LCM of 295 and 289 is associative

LCM of 289 and 295 = LCM of 295 and 289

Related Least Common Multiples of 289

Related Least Common Multiples of 295

Frequently Asked Questions on LCM of 289 and 295

1. What is the LCM of 289 and 295?

Answer: LCM of 289 and 295 is 85255.

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 295?

Answer: Factors of 295 are 1, 5, 59, 295. There are 4 integers that are factors of 295. The greatest factor of 295 is 295.

4. How to Find the LCM of 289 and 295?

Answer:

Least Common Multiple of 289 and 295 = 85255

Step 1: Find the prime factorization of 289

289 = 17 x 17

Step 2: Find the prime factorization of 295

295 = 5 x 59

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

LCM = 85255 = 5 x 17 x 17 x 59

Step 4: Therefore, the least common multiple of 289 and 295 is 85255.