Least Common Multiple of 288 and 293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 288 and 293 the smallest integer that is 84384 that is divisible by both numbers.

Least Common Multiple (LCM) of 288 and 293 is 84384.

LCM(288,293) = 84384

LCM of 288 and 293

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

LCM of:
and

Least Common Multiple of 288 and 293

LCM of 288 and 293 is 84384

Least common multiple can be found by multiplying the highest exponent prime factors of 288 and 293. First we will calculate the prime factors of 288 and 293.

Prime Factorization of 288


2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 288 are 2,3. Prime factorization of 288 in exponential form is:

288 = 25×32

Prime Factorization of 293


293 293
1

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

293 = 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 288 and 293.

LCM(288,293) = 25×32×2931
LCM(288,293) = 84384

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Factors of 293

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

1, 293

Least Common Multiple of 288 and 293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 288 and 293, than apply into the LCM equation.

GCF(288,293) = 1
LCM(288,293) = ( 288 × 293) / 1
LCM(288,293) = 84384 / 1
LCM(288,293) = 84384

Properties of LCM 288 and 293

(i) The LCM of 293 and 288 is associative

LCM of 288 and 293 = LCM of 293 and 288

Related Least Common Multiples of 288

Related Least Common Multiples of 293

Frequently Asked Questions on LCM of 288 and 293

1. What is the LCM of 288 and 293?

Answer: LCM of 288 and 293 is 84384.

2. What are the Factors of 288?

Answer: Factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288. There are 18 integers that are factors of 288. The greatest factor of 288 is 288.

3. 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.

4. How to Find the LCM of 288 and 293?

Answer:

Least Common Multiple of 288 and 293 = 84384

Step 1: Find the prime factorization of 288

288 = 2 x 2 x 2 x 2 x 2 x 3 x 3

Step 2: Find the prime factorization of 293

293 = 293

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

LCM = 84384 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 293

Step 4: Therefore, the least common multiple of 288 and 293 is 84384.