Least Common Multiple of 281 and 285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 281 and 285 the smallest integer that is 80085 that is divisible by both numbers.

Least Common Multiple (LCM) of 281 and 285 is 80085.

LCM(281,285) = 80085

LCM of 281 and 285

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

LCM of:
and

Least Common Multiple of 281 and 285

LCM of 281 and 285 is 80085

Least common multiple can be found by multiplying the highest exponent prime factors of 281 and 285. First we will calculate the prime factors of 281 and 285.

Prime Factorization of 281


281 281
1

Prime factors of 281 are 281. Prime factorization of 281 in exponential form is:

281 = 2811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 281 and 285.

LCM(281,285) = 31×51×191×2811
LCM(281,285) = 80085

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1, 281

Factors of 285

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

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

Least Common Multiple of 281 and 285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 281 and 285, than apply into the LCM equation.

GCF(281,285) = 1
LCM(281,285) = ( 281 × 285) / 1
LCM(281,285) = 80085 / 1
LCM(281,285) = 80085

Properties of LCM 281 and 285

(i) The LCM of 285 and 281 is associative

LCM of 281 and 285 = LCM of 285 and 281

Related Least Common Multiples of 281

Related Least Common Multiples of 285

Frequently Asked Questions on LCM of 281 and 285

1. What is the LCM of 281 and 285?

Answer: LCM of 281 and 285 is 80085.

2. What are the Factors of 281?

Answer: Factors of 281 are 1, 281. There are 2 integers that are factors of 281. The greatest factor of 281 is 281.

3. 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.

4. How to Find the LCM of 281 and 285?

Answer:

Least Common Multiple of 281 and 285 = 80085

Step 1: Find the prime factorization of 281

281 = 281

Step 2: Find the prime factorization of 285

285 = 3 x 5 x 19

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

LCM = 80085 = 3 x 5 x 19 x 281

Step 4: Therefore, the least common multiple of 281 and 285 is 80085.