Least Common Multiple of 9260 and 9265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9260 and 9265 the smallest integer that is 17158780 that is divisible by both numbers.

Least Common Multiple (LCM) of 9260 and 9265 is 17158780.

LCM(9260,9265) = 17158780

LCM of 9260 and 9265

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

LCM of:
and

Least Common Multiple of 9260 and 9265

LCM of 9260 and 9265 is 17158780

Least common multiple can be found by multiplying the highest exponent prime factors of 9260 and 9265. First we will calculate the prime factors of 9260 and 9265.

Prime Factorization of 9260


2 9260
2 4630
5 2315
463 463
1

Prime factors of 9260 are 2, 5,463. Prime factorization of 9260 in exponential form is:

9260 = 22×51×4631

Prime Factorization of 9265


5 9265
17 1853
109 109
1

Prime factors of 9265 are 5, 17,109. Prime factorization of 9265 in exponential form is:

9265 = 51×171×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9260 and 9265.

LCM(9260,9265) = 22×51×171×1091×4631
LCM(9260,9265) = 17158780

Factors of 9260

List of positive integer factors of 9260 that divides 9260 without a remainder.

1, 2, 4, 5, 10, 20, 463, 926, 1852, 2315, 4630, 9260

Factors of 9265

List of positive integer factors of 9265 that divides 9265 without a remainder.

1, 5, 17, 85, 109, 545, 1853, 9265

Least Common Multiple of 9260 and 9265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9260 and 9265, than apply into the LCM equation.

GCF(9260,9265) = 5
LCM(9260,9265) = ( 9260 × 9265) / 5
LCM(9260,9265) = 85793900 / 5
LCM(9260,9265) = 17158780

Properties of LCM 9260 and 9265

(i) The LCM of 9265 and 9260 is associative

LCM of 9260 and 9265 = LCM of 9265 and 9260

Related Least Common Multiples of 9260

Related Least Common Multiples of 9265

Frequently Asked Questions on LCM of 9260 and 9265

1. What is the LCM of 9260 and 9265?

Answer: LCM of 9260 and 9265 is 17158780.

2. What are the Factors of 9260?

Answer: Factors of 9260 are 1, 2, 4, 5, 10, 20, 463, 926, 1852, 2315, 4630, 9260. There are 12 integers that are factors of 9260. The greatest factor of 9260 is 9260.

3. What are the Factors of 9265?

Answer: Factors of 9265 are 1, 5, 17, 85, 109, 545, 1853, 9265. There are 8 integers that are factors of 9265. The greatest factor of 9265 is 9265.

4. How to Find the LCM of 9260 and 9265?

Answer:

Least Common Multiple of 9260 and 9265 = 17158780

Step 1: Find the prime factorization of 9260

9260 = 2 x 2 x 5 x 463

Step 2: Find the prime factorization of 9265

9265 = 5 x 17 x 109

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

LCM = 17158780 = 2 x 2 x 5 x 17 x 109 x 463

Step 4: Therefore, the least common multiple of 9260 and 9265 is 17158780.