Least Common Multiple of 293 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 293 and 297 the smallest integer that is 87021 that is divisible by both numbers.

Least Common Multiple (LCM) of 293 and 297 is 87021.

LCM(293,297) = 87021

LCM of 293 and 297

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

LCM of:
and

Least Common Multiple of 293 and 297

LCM of 293 and 297 is 87021

Least common multiple can be found by multiplying the highest exponent prime factors of 293 and 297. First we will calculate the prime factors of 293 and 297.

Prime Factorization of 293


293 293
1

Prime factors of 293 are 293. Prime factorization of 293 in exponential form is:

293 = 2931

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 293 and 297.

LCM(293,297) = 33×111×2931
LCM(293,297) = 87021

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1, 293

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 293 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 293 and 297, than apply into the LCM equation.

GCF(293,297) = 1
LCM(293,297) = ( 293 × 297) / 1
LCM(293,297) = 87021 / 1
LCM(293,297) = 87021

Properties of LCM 293 and 297

(i) The LCM of 297 and 293 is associative

LCM of 293 and 297 = LCM of 297 and 293

Related Least Common Multiples of 293

Related Least Common Multiples of 297

Frequently Asked Questions on LCM of 293 and 297

1. What is the LCM of 293 and 297?

Answer: LCM of 293 and 297 is 87021.

2. What are the Factors of 293?

Answer: Factors of 293 are 1, 293. There are 2 integers that are factors of 293. The greatest factor of 293 is 293.

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 293 and 297?

Answer:

Least Common Multiple of 293 and 297 = 87021

Step 1: Find the prime factorization of 293

293 = 293

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 = 87021 = 3 x 3 x 3 x 11 x 293

Step 4: Therefore, the least common multiple of 293 and 297 is 87021.