Least Common Multiple of 284 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 284 and 285 the smallest integer that is 80940 that is divisible by both numbers.

Least Common Multiple (LCM) of 284 and 285 is 80940.

LCM(284,285) = 80940

LCM of 284 and 285

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

LCM of:
and

Least Common Multiple of 284 and 285

LCM of 284 and 285 is 80940

Least common multiple can be found by multiplying the highest exponent prime factors of 284 and 285. First we will calculate the prime factors of 284 and 285.

Prime Factorization of 284


2 284
2 142
71 71
1

Prime factors of 284 are 2,71. Prime factorization of 284 in exponential form is:

284 = 22×711

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 284 and 285.

LCM(284,285) = 22×31×51×191×711
LCM(284,285) = 80940

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 284 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 284 and 285, than apply into the LCM equation.

GCF(284,285) = 1
LCM(284,285) = ( 284 × 285) / 1
LCM(284,285) = 80940 / 1
LCM(284,285) = 80940

Properties of LCM 284 and 285

(i) The LCM of 285 and 284 is associative

LCM of 284 and 285 = LCM of 285 and 284

Related Least Common Multiples of 284

Related Least Common Multiples of 285

Frequently Asked Questions on LCM of 284 and 285

1. What is the LCM of 284 and 285?

Answer: LCM of 284 and 285 is 80940.

2. What are the Factors of 284?

Answer: Factors of 284 are 1, 2, 4, 71, 142, 284. There are 6 integers that are factors of 284. The greatest factor of 284 is 284.

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 284 and 285?

Answer:

Least Common Multiple of 284 and 285 = 80940

Step 1: Find the prime factorization of 284

284 = 2 x 2 x 71

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 = 80940 = 2 x 2 x 3 x 5 x 19 x 71

Step 4: Therefore, the least common multiple of 284 and 285 is 80940.