Least Common Multiple of 9274 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 9274 and 9280 the smallest integer that is 43031360 that is divisible by both numbers.

Least Common Multiple (LCM) of 9274 and 9280 is 43031360.

LCM(9274,9280) = 43031360

LCM of 9274 and 9280

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

LCM of:
and

Least Common Multiple of 9274 and 9280

LCM of 9274 and 9280 is 43031360

Least common multiple can be found by multiplying the highest exponent prime factors of 9274 and 9280. First we will calculate the prime factors of 9274 and 9280.

Prime Factorization of 9274


2 9274
4637 4637
1

Prime factors of 9274 are 2,4637. Prime factorization of 9274 in exponential form is:

9274 = 21×46371

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 9274 and 9280.

LCM(9274,9280) = 26×51×291×46371
LCM(9274,9280) = 43031360

Factors of 9274

List of positive integer factors of 9274 that divides 9274 without a remainder.

1, 2, 4637, 9274

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 9274 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 9274 and 9280, than apply into the LCM equation.

GCF(9274,9280) = 2
LCM(9274,9280) = ( 9274 × 9280) / 2
LCM(9274,9280) = 86062720 / 2
LCM(9274,9280) = 43031360

Properties of LCM 9274 and 9280

(i) The LCM of 9280 and 9274 is associative

LCM of 9274 and 9280 = LCM of 9280 and 9274

Related Least Common Multiples of 9274

Related Least Common Multiples of 9280

Frequently Asked Questions on LCM of 9274 and 9280

1. What is the LCM of 9274 and 9280?

Answer: LCM of 9274 and 9280 is 43031360.

2. What are the Factors of 9274?

Answer: Factors of 9274 are 1, 2, 4637, 9274. There are 4 integers that are factors of 9274. The greatest factor of 9274 is 9274.

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 9274 and 9280?

Answer:

Least Common Multiple of 9274 and 9280 = 43031360

Step 1: Find the prime factorization of 9274

9274 = 2 x 4637

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 = 43031360 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 29 x 4637

Step 4: Therefore, the least common multiple of 9274 and 9280 is 43031360.