Least Common Multiple of 2280 and 2282

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 2282 the smallest integer that is 2601480 that is divisible by both numbers.

Least Common Multiple (LCM) of 2280 and 2282 is 2601480.

LCM(2280,2282) = 2601480

LCM of 2280 and 2282

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

LCM of:
and

Least Common Multiple of 2280 and 2282

LCM of 2280 and 2282 is 2601480

Least common multiple can be found by multiplying the highest exponent prime factors of 2280 and 2282. First we will calculate the prime factors of 2280 and 2282.

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 2282


2 2282
7 1141
163 163
1

Prime factors of 2282 are 2, 7,163. Prime factorization of 2282 in exponential form is:

2282 = 21×71×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 2280 and 2282.

LCM(2280,2282) = 23×31×51×71×191×1631
LCM(2280,2282) = 2601480

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 2282

List of positive integer factors of 2282 that divides 2282 without a remainder.

1, 2, 7, 14, 163, 326, 1141, 2282

Least Common Multiple of 2280 and 2282 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 2282, than apply into the LCM equation.

GCF(2280,2282) = 2
LCM(2280,2282) = ( 2280 × 2282) / 2
LCM(2280,2282) = 5202960 / 2
LCM(2280,2282) = 2601480

Properties of LCM 2280 and 2282

(i) The LCM of 2282 and 2280 is associative

LCM of 2280 and 2282 = LCM of 2282 and 2280

Related Least Common Multiples of 2280

Related Least Common Multiples of 2282

Frequently Asked Questions on LCM of 2280 and 2282

1. What is the LCM of 2280 and 2282?

Answer: LCM of 2280 and 2282 is 2601480.

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 2282?

Answer: Factors of 2282 are 1, 2, 7, 14, 163, 326, 1141, 2282. There are 8 integers that are factors of 2282. The greatest factor of 2282 is 2282.

4. How to Find the LCM of 2280 and 2282?

Answer:

Least Common Multiple of 2280 and 2282 = 2601480

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 2282

2282 = 2 x 7 x 163

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

LCM = 2601480 = 2 x 2 x 2 x 3 x 5 x 7 x 19 x 163

Step 4: Therefore, the least common multiple of 2280 and 2282 is 2601480.