Least Common Multiple of 285 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 285 and 293 the smallest integer that is 83505 that is divisible by both numbers.

Least Common Multiple (LCM) of 285 and 293 is 83505.

LCM(285,293) = 83505

LCM of 285 and 293

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

LCM of:
and

Least Common Multiple of 285 and 293

LCM of 285 and 293 is 83505

Least common multiple can be found by multiplying the highest exponent prime factors of 285 and 293. First we will calculate the prime factors of 285 and 293.

Prime Factorization of 285


3 285
5 95
19 19
1

Prime factors of 285 are 3, 5,19. Prime factorization of 285 in exponential form is:

285 = 31×51×191

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 285 and 293.

LCM(285,293) = 31×51×191×2931
LCM(285,293) = 83505

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Factors of 293

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

1, 293

Least Common Multiple of 285 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 285 and 293, than apply into the LCM equation.

GCF(285,293) = 1
LCM(285,293) = ( 285 × 293) / 1
LCM(285,293) = 83505 / 1
LCM(285,293) = 83505

Properties of LCM 285 and 293

(i) The LCM of 293 and 285 is associative

LCM of 285 and 293 = LCM of 293 and 285

Related Least Common Multiples of 285

Related Least Common Multiples of 293

Frequently Asked Questions on LCM of 285 and 293

1. What is the LCM of 285 and 293?

Answer: LCM of 285 and 293 is 83505.

2. What are the Factors of 285?

Answer: Factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285. There are 8 integers that are factors of 285. The greatest factor of 285 is 285.

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 285 and 293?

Answer:

Least Common Multiple of 285 and 293 = 83505

Step 1: Find the prime factorization of 285

285 = 3 x 5 x 19

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 = 83505 = 3 x 5 x 19 x 293

Step 4: Therefore, the least common multiple of 285 and 293 is 83505.