Least Common Multiple of 9278 and 9280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9278 and 9280 the smallest integer that is 43049920 that is divisible by both numbers.

Least Common Multiple (LCM) of 9278 and 9280 is 43049920.

LCM(9278,9280) = 43049920

LCM of 9278 and 9280

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

LCM of:
and

Least Common Multiple of 9278 and 9280

LCM of 9278 and 9280 is 43049920

Least common multiple can be found by multiplying the highest exponent prime factors of 9278 and 9280. First we will calculate the prime factors of 9278 and 9280.

Prime Factorization of 9278


2 9278
4639 4639
1

Prime factors of 9278 are 2,4639. Prime factorization of 9278 in exponential form is:

9278 = 21×46391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9278 and 9280.

LCM(9278,9280) = 26×51×291×46391
LCM(9278,9280) = 43049920

Factors of 9278

List of positive integer factors of 9278 that divides 9278 without a remainder.

1, 2, 4639, 9278

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

Least Common Multiple of 9278 and 9280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9278 and 9280, than apply into the LCM equation.

GCF(9278,9280) = 2
LCM(9278,9280) = ( 9278 × 9280) / 2
LCM(9278,9280) = 86099840 / 2
LCM(9278,9280) = 43049920

Properties of LCM 9278 and 9280

(i) The LCM of 9280 and 9278 is associative

LCM of 9278 and 9280 = LCM of 9280 and 9278

Related Least Common Multiples of 9278

Related Least Common Multiples of 9280

Frequently Asked Questions on LCM of 9278 and 9280

1. What is the LCM of 9278 and 9280?

Answer: LCM of 9278 and 9280 is 43049920.

2. What are the Factors of 9278?

Answer: Factors of 9278 are 1, 2, 4639, 9278. There are 4 integers that are factors of 9278. The greatest factor of 9278 is 9278.

3. 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.

4. How to Find the LCM of 9278 and 9280?

Answer:

Least Common Multiple of 9278 and 9280 = 43049920

Step 1: Find the prime factorization of 9278

9278 = 2 x 4639

Step 2: Find the prime factorization of 9280

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

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

LCM = 43049920 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 29 x 4639

Step 4: Therefore, the least common multiple of 9278 and 9280 is 43049920.