Least Common Multiple of 9280 and 9282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9280 and 9282 the smallest integer that is 43068480 that is divisible by both numbers.

Least Common Multiple (LCM) of 9280 and 9282 is 43068480.

LCM(9280,9282) = 43068480

LCM of 9280 and 9282

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

LCM of:
and

Least Common Multiple of 9280 and 9282

LCM of 9280 and 9282 is 43068480

Least common multiple can be found by multiplying the highest exponent prime factors of 9280 and 9282. First we will calculate the prime factors of 9280 and 9282.

Prime Factorization of 9280


2 9280
2 4640
2 2320
2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 9280 are 2, 5,29. Prime factorization of 9280 in exponential form is:

9280 = 26×51×291

Prime Factorization of 9282


2 9282
3 4641
7 1547
13 221
17 17
1

Prime factors of 9282 are 2, 3, 7, 13,17. Prime factorization of 9282 in exponential form is:

9282 = 21×31×71×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 9280 and 9282.

LCM(9280,9282) = 26×31×51×71×131×171×291
LCM(9280,9282) = 43068480

Factors of 9280

List of positive integer factors of 9280 that divides 9280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 145, 160, 232, 290, 320, 464, 580, 928, 1160, 1856, 2320, 4640, 9280

Factors of 9282

List of positive integer factors of 9282 that divides 9282 without a remainder.

1, 2, 3, 6, 7, 13, 14, 17, 21, 26, 34, 39, 42, 51, 78, 91, 102, 119, 182, 221, 238, 273, 357, 442, 546, 663, 714, 1326, 1547, 3094, 4641, 9282

Least Common Multiple of 9280 and 9282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9280 and 9282, than apply into the LCM equation.

GCF(9280,9282) = 2
LCM(9280,9282) = ( 9280 × 9282) / 2
LCM(9280,9282) = 86136960 / 2
LCM(9280,9282) = 43068480

Properties of LCM 9280 and 9282

(i) The LCM of 9282 and 9280 is associative

LCM of 9280 and 9282 = LCM of 9282 and 9280

Related Least Common Multiples of 9280

Related Least Common Multiples of 9282

Frequently Asked Questions on LCM of 9280 and 9282

1. What is the LCM of 9280 and 9282?

Answer: LCM of 9280 and 9282 is 43068480.

2. What are the Factors of 9280?

Answer: Factors of 9280 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 145, 160, 232, 290, 320, 464, 580, 928, 1160, 1856, 2320, 4640, 9280. There are 28 integers that are factors of 9280. The greatest factor of 9280 is 9280.

3. What are the Factors of 9282?

Answer: Factors of 9282 are 1, 2, 3, 6, 7, 13, 14, 17, 21, 26, 34, 39, 42, 51, 78, 91, 102, 119, 182, 221, 238, 273, 357, 442, 546, 663, 714, 1326, 1547, 3094, 4641, 9282. There are 32 integers that are factors of 9282. The greatest factor of 9282 is 9282.

4. How to Find the LCM of 9280 and 9282?

Answer:

Least Common Multiple of 9280 and 9282 = 43068480

Step 1: Find the prime factorization of 9280

9280 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 29

Step 2: Find the prime factorization of 9282

9282 = 2 x 3 x 7 x 13 x 17

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

LCM = 43068480 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 17 x 29

Step 4: Therefore, the least common multiple of 9280 and 9282 is 43068480.