Least Common Multiple of 9272 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 9272 and 9280 the smallest integer that is 10755520 that is divisible by both numbers.

Least Common Multiple (LCM) of 9272 and 9280 is 10755520.

LCM(9272,9280) = 10755520

LCM of 9272 and 9280

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

LCM of:
and

Least Common Multiple of 9272 and 9280

LCM of 9272 and 9280 is 10755520

Least common multiple can be found by multiplying the highest exponent prime factors of 9272 and 9280. First we will calculate the prime factors of 9272 and 9280.

Prime Factorization of 9272


2 9272
2 4636
2 2318
19 1159
61 61
1

Prime factors of 9272 are 2, 19,61. Prime factorization of 9272 in exponential form is:

9272 = 23×191×611

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 9272 and 9280.

LCM(9272,9280) = 26×51×191×291×611
LCM(9272,9280) = 10755520

Factors of 9272

List of positive integer factors of 9272 that divides 9272 without a remainder.

1, 2, 4, 8, 19, 38, 61, 76, 122, 152, 244, 488, 1159, 2318, 4636, 9272

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 9272 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 9272 and 9280, than apply into the LCM equation.

GCF(9272,9280) = 8
LCM(9272,9280) = ( 9272 × 9280) / 8
LCM(9272,9280) = 86044160 / 8
LCM(9272,9280) = 10755520

Properties of LCM 9272 and 9280

(i) The LCM of 9280 and 9272 is associative

LCM of 9272 and 9280 = LCM of 9280 and 9272

Related Least Common Multiples of 9272

Related Least Common Multiples of 9280

Frequently Asked Questions on LCM of 9272 and 9280

1. What is the LCM of 9272 and 9280?

Answer: LCM of 9272 and 9280 is 10755520.

2. What are the Factors of 9272?

Answer: Factors of 9272 are 1, 2, 4, 8, 19, 38, 61, 76, 122, 152, 244, 488, 1159, 2318, 4636, 9272. There are 16 integers that are factors of 9272. The greatest factor of 9272 is 9272.

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 9272 and 9280?

Answer:

Least Common Multiple of 9272 and 9280 = 10755520

Step 1: Find the prime factorization of 9272

9272 = 2 x 2 x 2 x 19 x 61

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 = 10755520 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19 x 29 x 61

Step 4: Therefore, the least common multiple of 9272 and 9280 is 10755520.