Least Common Multiple of 289 and 292

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 292 the smallest integer that is 84388 that is divisible by both numbers.

Least Common Multiple (LCM) of 289 and 292 is 84388.

LCM(289,292) = 84388

LCM of 289 and 292

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

LCM of:
and

Least Common Multiple of 289 and 292

LCM of 289 and 292 is 84388

Least common multiple can be found by multiplying the highest exponent prime factors of 289 and 292. First we will calculate the prime factors of 289 and 292.

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 292


2 292
2 146
73 73
1

Prime factors of 292 are 2,73. Prime factorization of 292 in exponential form is:

292 = 22×731

Now multiplying the highest exponent prime factors to calculate the LCM of 289 and 292.

LCM(289,292) = 22×172×731
LCM(289,292) = 84388

Factors of 289

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

1, 17, 289

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Least Common Multiple of 289 and 292 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 292, than apply into the LCM equation.

GCF(289,292) = 1
LCM(289,292) = ( 289 × 292) / 1
LCM(289,292) = 84388 / 1
LCM(289,292) = 84388

Properties of LCM 289 and 292

(i) The LCM of 292 and 289 is associative

LCM of 289 and 292 = LCM of 292 and 289

Related Least Common Multiples of 289

Related Least Common Multiples of 292

Frequently Asked Questions on LCM of 289 and 292

1. What is the LCM of 289 and 292?

Answer: LCM of 289 and 292 is 84388.

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 292?

Answer: Factors of 292 are 1, 2, 4, 73, 146, 292. There are 6 integers that are factors of 292. The greatest factor of 292 is 292.

4. How to Find the LCM of 289 and 292?

Answer:

Least Common Multiple of 289 and 292 = 84388

Step 1: Find the prime factorization of 289

289 = 17 x 17

Step 2: Find the prime factorization of 292

292 = 2 x 2 x 73

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

LCM = 84388 = 2 x 2 x 17 x 17 x 73

Step 4: Therefore, the least common multiple of 289 and 292 is 84388.