Least Common Multiple of 289 and 294

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 294 the smallest integer that is 84966 that is divisible by both numbers.

Least Common Multiple (LCM) of 289 and 294 is 84966.

LCM(289,294) = 84966

LCM of 289 and 294

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

LCM of:
and

Least Common Multiple of 289 and 294

LCM of 289 and 294 is 84966

Least common multiple can be found by multiplying the highest exponent prime factors of 289 and 294. First we will calculate the prime factors of 289 and 294.

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 294


2 294
3 147
7 49
7 7
1

Prime factors of 294 are 2, 3,7. Prime factorization of 294 in exponential form is:

294 = 21×31×72

Now multiplying the highest exponent prime factors to calculate the LCM of 289 and 294.

LCM(289,294) = 21×31×72×172
LCM(289,294) = 84966

Factors of 289

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

1, 17, 289

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Least Common Multiple of 289 and 294 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 294, than apply into the LCM equation.

GCF(289,294) = 1
LCM(289,294) = ( 289 × 294) / 1
LCM(289,294) = 84966 / 1
LCM(289,294) = 84966

Properties of LCM 289 and 294

(i) The LCM of 294 and 289 is associative

LCM of 289 and 294 = LCM of 294 and 289

Related Least Common Multiples of 289

Related Least Common Multiples of 294

Frequently Asked Questions on LCM of 289 and 294

1. What is the LCM of 289 and 294?

Answer: LCM of 289 and 294 is 84966.

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 294?

Answer: Factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. There are 12 integers that are factors of 294. The greatest factor of 294 is 294.

4. How to Find the LCM of 289 and 294?

Answer:

Least Common Multiple of 289 and 294 = 84966

Step 1: Find the prime factorization of 289

289 = 17 x 17

Step 2: Find the prime factorization of 294

294 = 2 x 3 x 7 x 7

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

LCM = 84966 = 2 x 3 x 7 x 7 x 17 x 17

Step 4: Therefore, the least common multiple of 289 and 294 is 84966.