Least Common Multiple of 293 and 296

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 296 the smallest integer that is 86728 that is divisible by both numbers.

Least Common Multiple (LCM) of 293 and 296 is 86728.

LCM(293,296) = 86728

LCM of 293 and 296

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

LCM of:
and

Least Common Multiple of 293 and 296

LCM of 293 and 296 is 86728

Least common multiple can be found by multiplying the highest exponent prime factors of 293 and 296. First we will calculate the prime factors of 293 and 296.

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 296


2 296
2 148
2 74
37 37
1

Prime factors of 296 are 2,37. Prime factorization of 296 in exponential form is:

296 = 23×371

Now multiplying the highest exponent prime factors to calculate the LCM of 293 and 296.

LCM(293,296) = 23×371×2931
LCM(293,296) = 86728

Factors of 293

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

1, 293

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Least Common Multiple of 293 and 296 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 296, than apply into the LCM equation.

GCF(293,296) = 1
LCM(293,296) = ( 293 × 296) / 1
LCM(293,296) = 86728 / 1
LCM(293,296) = 86728

Properties of LCM 293 and 296

(i) The LCM of 296 and 293 is associative

LCM of 293 and 296 = LCM of 296 and 293

Related Least Common Multiples of 293

Related Least Common Multiples of 296

Frequently Asked Questions on LCM of 293 and 296

1. What is the LCM of 293 and 296?

Answer: LCM of 293 and 296 is 86728.

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 296?

Answer: Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. There are 8 integers that are factors of 296. The greatest factor of 296 is 296.

4. How to Find the LCM of 293 and 296?

Answer:

Least Common Multiple of 293 and 296 = 86728

Step 1: Find the prime factorization of 293

293 = 293

Step 2: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

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

LCM = 86728 = 2 x 2 x 2 x 37 x 293

Step 4: Therefore, the least common multiple of 293 and 296 is 86728.