Least Common Multiple of 280 and 284

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 284 the smallest integer that is 19880 that is divisible by both numbers.

Least Common Multiple (LCM) of 280 and 284 is 19880.

LCM(280,284) = 19880

LCM of 280 and 284

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

LCM of:
and

Least Common Multiple of 280 and 284

LCM of 280 and 284 is 19880

Least common multiple can be found by multiplying the highest exponent prime factors of 280 and 284. First we will calculate the prime factors of 280 and 284.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 280 and 284.

LCM(280,284) = 23×51×71×711
LCM(280,284) = 19880

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 284

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

1, 2, 4, 71, 142, 284

Least Common Multiple of 280 and 284 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 284, than apply into the LCM equation.

GCF(280,284) = 4
LCM(280,284) = ( 280 × 284) / 4
LCM(280,284) = 79520 / 4
LCM(280,284) = 19880

Properties of LCM 280 and 284

(i) The LCM of 284 and 280 is associative

LCM of 280 and 284 = LCM of 284 and 280

Related Least Common Multiples of 280

Related Least Common Multiples of 284

Frequently Asked Questions on LCM of 280 and 284

1. What is the LCM of 280 and 284?

Answer: LCM of 280 and 284 is 19880.

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 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.

4. How to Find the LCM of 280 and 284?

Answer:

Least Common Multiple of 280 and 284 = 19880

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 284

284 = 2 x 2 x 71

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

LCM = 19880 = 2 x 2 x 2 x 5 x 7 x 71

Step 4: Therefore, the least common multiple of 280 and 284 is 19880.