Least Common Multiple of 9255 and 9260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9255 and 9260 the smallest integer that is 17140260 that is divisible by both numbers.

Least Common Multiple (LCM) of 9255 and 9260 is 17140260.

LCM(9255,9260) = 17140260

LCM of 9255 and 9260

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

LCM of:
and

Least Common Multiple of 9255 and 9260

LCM of 9255 and 9260 is 17140260

Least common multiple can be found by multiplying the highest exponent prime factors of 9255 and 9260. First we will calculate the prime factors of 9255 and 9260.

Prime Factorization of 9255


3 9255
5 3085
617 617
1

Prime factors of 9255 are 3, 5,617. Prime factorization of 9255 in exponential form is:

9255 = 31×51×6171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9255 and 9260.

LCM(9255,9260) = 22×31×51×4631×6171
LCM(9255,9260) = 17140260

Factors of 9255

List of positive integer factors of 9255 that divides 9255 without a remainder.

1, 3, 5, 15, 617, 1851, 3085, 9255

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

Least Common Multiple of 9255 and 9260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9255 and 9260, than apply into the LCM equation.

GCF(9255,9260) = 5
LCM(9255,9260) = ( 9255 × 9260) / 5
LCM(9255,9260) = 85701300 / 5
LCM(9255,9260) = 17140260

Properties of LCM 9255 and 9260

(i) The LCM of 9260 and 9255 is associative

LCM of 9255 and 9260 = LCM of 9260 and 9255

Related Least Common Multiples of 9255

Related Least Common Multiples of 9260

Frequently Asked Questions on LCM of 9255 and 9260

1. What is the LCM of 9255 and 9260?

Answer: LCM of 9255 and 9260 is 17140260.

2. What are the Factors of 9255?

Answer: Factors of 9255 are 1, 3, 5, 15, 617, 1851, 3085, 9255. There are 8 integers that are factors of 9255. The greatest factor of 9255 is 9255.

3. 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.

4. How to Find the LCM of 9255 and 9260?

Answer:

Least Common Multiple of 9255 and 9260 = 17140260

Step 1: Find the prime factorization of 9255

9255 = 3 x 5 x 617

Step 2: Find the prime factorization of 9260

9260 = 2 x 2 x 5 x 463

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

LCM = 17140260 = 2 x 2 x 3 x 5 x 463 x 617

Step 4: Therefore, the least common multiple of 9255 and 9260 is 17140260.