Least Common Multiple of 280 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 280 and 285 the smallest integer that is 15960 that is divisible by both numbers.

Least Common Multiple (LCM) of 280 and 285 is 15960.

LCM(280,285) = 15960

LCM of 280 and 285

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

LCM of:
and

Least Common Multiple of 280 and 285

LCM of 280 and 285 is 15960

Least common multiple can be found by multiplying the highest exponent prime factors of 280 and 285. First we will calculate the prime factors of 280 and 285.

Prime Factorization of 280


2 280
2 140
2 70
5 35
7 7
1

Prime factors of 280 are 2, 5,7. Prime factorization of 280 in exponential form is:

280 = 23×51×71

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 280 and 285.

LCM(280,285) = 23×31×51×71×191
LCM(280,285) = 15960

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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 280 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 280 and 285, than apply into the LCM equation.

GCF(280,285) = 5
LCM(280,285) = ( 280 × 285) / 5
LCM(280,285) = 79800 / 5
LCM(280,285) = 15960

Properties of LCM 280 and 285

(i) The LCM of 285 and 280 is associative

LCM of 280 and 285 = LCM of 285 and 280

Related Least Common Multiples of 280

Related Least Common Multiples of 285

Frequently Asked Questions on LCM of 280 and 285

1. What is the LCM of 280 and 285?

Answer: LCM of 280 and 285 is 15960.

2. What are the Factors of 280?

Answer: Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. There are 16 integers that are factors of 280. The greatest factor of 280 is 280.

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 280 and 285?

Answer:

Least Common Multiple of 280 and 285 = 15960

Step 1: Find the prime factorization of 280

280 = 2 x 2 x 2 x 5 x 7

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 = 15960 = 2 x 2 x 2 x 3 x 5 x 7 x 19

Step 4: Therefore, the least common multiple of 280 and 285 is 15960.