Least Common Multiple of 2280 and 2284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2280 and 2284 the smallest integer that is 1301880 that is divisible by both numbers.

Least Common Multiple (LCM) of 2280 and 2284 is 1301880.

LCM(2280,2284) = 1301880

LCM of 2280 and 2284

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

LCM of:
and

Least Common Multiple of 2280 and 2284

LCM of 2280 and 2284 is 1301880

Least common multiple can be found by multiplying the highest exponent prime factors of 2280 and 2284. First we will calculate the prime factors of 2280 and 2284.

Prime Factorization of 2280


2 2280
2 1140
2 570
3 285
5 95
19 19
1

Prime factors of 2280 are 2, 3, 5,19. Prime factorization of 2280 in exponential form is:

2280 = 23×31×51×191

Prime Factorization of 2284


2 2284
2 1142
571 571
1

Prime factors of 2284 are 2,571. Prime factorization of 2284 in exponential form is:

2284 = 22×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 2280 and 2284.

LCM(2280,2284) = 23×31×51×191×5711
LCM(2280,2284) = 1301880

Factors of 2280

List of positive integer factors of 2280 that divides 2280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 380, 456, 570, 760, 1140, 2280

Factors of 2284

List of positive integer factors of 2284 that divides 2284 without a remainder.

1, 2, 4, 571, 1142, 2284

Least Common Multiple of 2280 and 2284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2280 and 2284, than apply into the LCM equation.

GCF(2280,2284) = 4
LCM(2280,2284) = ( 2280 × 2284) / 4
LCM(2280,2284) = 5207520 / 4
LCM(2280,2284) = 1301880

Properties of LCM 2280 and 2284

(i) The LCM of 2284 and 2280 is associative

LCM of 2280 and 2284 = LCM of 2284 and 2280

Related Least Common Multiples of 2280

Related Least Common Multiples of 2284

Frequently Asked Questions on LCM of 2280 and 2284

1. What is the LCM of 2280 and 2284?

Answer: LCM of 2280 and 2284 is 1301880.

2. What are the Factors of 2280?

Answer: Factors of 2280 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 380, 456, 570, 760, 1140, 2280. There are 32 integers that are factors of 2280. The greatest factor of 2280 is 2280.

3. What are the Factors of 2284?

Answer: Factors of 2284 are 1, 2, 4, 571, 1142, 2284. There are 6 integers that are factors of 2284. The greatest factor of 2284 is 2284.

4. How to Find the LCM of 2280 and 2284?

Answer:

Least Common Multiple of 2280 and 2284 = 1301880

Step 1: Find the prime factorization of 2280

2280 = 2 x 2 x 2 x 3 x 5 x 19

Step 2: Find the prime factorization of 2284

2284 = 2 x 2 x 571

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

LCM = 1301880 = 2 x 2 x 2 x 3 x 5 x 19 x 571

Step 4: Therefore, the least common multiple of 2280 and 2284 is 1301880.