Least Common Multiple of 9280 and 9283

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 9283 the smallest integer that is 86146240 that is divisible by both numbers.

Least Common Multiple (LCM) of 9280 and 9283 is 86146240.

LCM(9280,9283) = 86146240

LCM of 9280 and 9283

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

LCM of:
and

Least Common Multiple of 9280 and 9283

LCM of 9280 and 9283 is 86146240

Least common multiple can be found by multiplying the highest exponent prime factors of 9280 and 9283. First we will calculate the prime factors of 9280 and 9283.

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 9283


9283 9283
1

Prime factors of 9283 are 9283. Prime factorization of 9283 in exponential form is:

9283 = 92831

Now multiplying the highest exponent prime factors to calculate the LCM of 9280 and 9283.

LCM(9280,9283) = 26×51×291×92831
LCM(9280,9283) = 86146240

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 9283

List of positive integer factors of 9283 that divides 9283 without a remainder.

1, 9283

Least Common Multiple of 9280 and 9283 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 9283, than apply into the LCM equation.

GCF(9280,9283) = 1
LCM(9280,9283) = ( 9280 × 9283) / 1
LCM(9280,9283) = 86146240 / 1
LCM(9280,9283) = 86146240

Properties of LCM 9280 and 9283

(i) The LCM of 9283 and 9280 is associative

LCM of 9280 and 9283 = LCM of 9283 and 9280

Related Least Common Multiples of 9280

Related Least Common Multiples of 9283

Frequently Asked Questions on LCM of 9280 and 9283

1. What is the LCM of 9280 and 9283?

Answer: LCM of 9280 and 9283 is 86146240.

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 9283?

Answer: Factors of 9283 are 1, 9283. There are 2 integers that are factors of 9283. The greatest factor of 9283 is 9283.

4. How to Find the LCM of 9280 and 9283?

Answer:

Least Common Multiple of 9280 and 9283 = 86146240

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 9283

9283 = 9283

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

LCM = 86146240 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 29 x 9283

Step 4: Therefore, the least common multiple of 9280 and 9283 is 86146240.