Least Common Multiple of 285 and 286

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 286 the smallest integer that is 81510 that is divisible by both numbers.

Least Common Multiple (LCM) of 285 and 286 is 81510.

LCM(285,286) = 81510

LCM of 285 and 286

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

LCM of:
and

Least Common Multiple of 285 and 286

LCM of 285 and 286 is 81510

Least common multiple can be found by multiplying the highest exponent prime factors of 285 and 286. First we will calculate the prime factors of 285 and 286.

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 286


2 286
11 143
13 13
1

Prime factors of 286 are 2, 11,13. Prime factorization of 286 in exponential form is:

286 = 21×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 285 and 286.

LCM(285,286) = 21×31×51×111×131×191
LCM(285,286) = 81510

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 286

List of positive integer factors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Least Common Multiple of 285 and 286 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 286, than apply into the LCM equation.

GCF(285,286) = 1
LCM(285,286) = ( 285 × 286) / 1
LCM(285,286) = 81510 / 1
LCM(285,286) = 81510

Properties of LCM 285 and 286

(i) The LCM of 286 and 285 is associative

LCM of 285 and 286 = LCM of 286 and 285

Related Least Common Multiples of 285

Related Least Common Multiples of 286

Frequently Asked Questions on LCM of 285 and 286

1. What is the LCM of 285 and 286?

Answer: LCM of 285 and 286 is 81510.

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 286?

Answer: Factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286. There are 8 integers that are factors of 286. The greatest factor of 286 is 286.

4. How to Find the LCM of 285 and 286?

Answer:

Least Common Multiple of 285 and 286 = 81510

Step 1: Find the prime factorization of 285

285 = 3 x 5 x 19

Step 2: Find the prime factorization of 286

286 = 2 x 11 x 13

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

LCM = 81510 = 2 x 3 x 5 x 11 x 13 x 19

Step 4: Therefore, the least common multiple of 285 and 286 is 81510.