Least Common Multiple of 9260 and 9267

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 9267 the smallest integer that is 85812420 that is divisible by both numbers.

Least Common Multiple (LCM) of 9260 and 9267 is 85812420.

LCM(9260,9267) = 85812420

LCM of 9260 and 9267

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

LCM of:
and

Least Common Multiple of 9260 and 9267

LCM of 9260 and 9267 is 85812420

Least common multiple can be found by multiplying the highest exponent prime factors of 9260 and 9267. First we will calculate the prime factors of 9260 and 9267.

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 9267


3 9267
3089 3089
1

Prime factors of 9267 are 3,3089. Prime factorization of 9267 in exponential form is:

9267 = 31×30891

Now multiplying the highest exponent prime factors to calculate the LCM of 9260 and 9267.

LCM(9260,9267) = 22×31×51×4631×30891
LCM(9260,9267) = 85812420

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 9267

List of positive integer factors of 9267 that divides 9267 without a remainder.

1, 3, 3089, 9267

Least Common Multiple of 9260 and 9267 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 9267, than apply into the LCM equation.

GCF(9260,9267) = 1
LCM(9260,9267) = ( 9260 × 9267) / 1
LCM(9260,9267) = 85812420 / 1
LCM(9260,9267) = 85812420

Properties of LCM 9260 and 9267

(i) The LCM of 9267 and 9260 is associative

LCM of 9260 and 9267 = LCM of 9267 and 9260

Related Least Common Multiples of 9260

Related Least Common Multiples of 9267

Frequently Asked Questions on LCM of 9260 and 9267

1. What is the LCM of 9260 and 9267?

Answer: LCM of 9260 and 9267 is 85812420.

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 9267?

Answer: Factors of 9267 are 1, 3, 3089, 9267. There are 4 integers that are factors of 9267. The greatest factor of 9267 is 9267.

4. How to Find the LCM of 9260 and 9267?

Answer:

Least Common Multiple of 9260 and 9267 = 85812420

Step 1: Find the prime factorization of 9260

9260 = 2 x 2 x 5 x 463

Step 2: Find the prime factorization of 9267

9267 = 3 x 3089

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

LCM = 85812420 = 2 x 2 x 3 x 5 x 463 x 3089

Step 4: Therefore, the least common multiple of 9260 and 9267 is 85812420.