Least Common Multiple of 9260 and 9266

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 9266 the smallest integer that is 42901580 that is divisible by both numbers.

Least Common Multiple (LCM) of 9260 and 9266 is 42901580.

LCM(9260,9266) = 42901580

LCM of 9260 and 9266

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

LCM of:
and

Least Common Multiple of 9260 and 9266

LCM of 9260 and 9266 is 42901580

Least common multiple can be found by multiplying the highest exponent prime factors of 9260 and 9266. First we will calculate the prime factors of 9260 and 9266.

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 9266


2 9266
41 4633
113 113
1

Prime factors of 9266 are 2, 41,113. Prime factorization of 9266 in exponential form is:

9266 = 21×411×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 9260 and 9266.

LCM(9260,9266) = 22×51×411×1131×4631
LCM(9260,9266) = 42901580

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 9266

List of positive integer factors of 9266 that divides 9266 without a remainder.

1, 2, 41, 82, 113, 226, 4633, 9266

Least Common Multiple of 9260 and 9266 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 9266, than apply into the LCM equation.

GCF(9260,9266) = 2
LCM(9260,9266) = ( 9260 × 9266) / 2
LCM(9260,9266) = 85803160 / 2
LCM(9260,9266) = 42901580

Properties of LCM 9260 and 9266

(i) The LCM of 9266 and 9260 is associative

LCM of 9260 and 9266 = LCM of 9266 and 9260

Related Least Common Multiples of 9260

Related Least Common Multiples of 9266

Frequently Asked Questions on LCM of 9260 and 9266

1. What is the LCM of 9260 and 9266?

Answer: LCM of 9260 and 9266 is 42901580.

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 9266?

Answer: Factors of 9266 are 1, 2, 41, 82, 113, 226, 4633, 9266. There are 8 integers that are factors of 9266. The greatest factor of 9266 is 9266.

4. How to Find the LCM of 9260 and 9266?

Answer:

Least Common Multiple of 9260 and 9266 = 42901580

Step 1: Find the prime factorization of 9260

9260 = 2 x 2 x 5 x 463

Step 2: Find the prime factorization of 9266

9266 = 2 x 41 x 113

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

LCM = 42901580 = 2 x 2 x 5 x 41 x 113 x 463

Step 4: Therefore, the least common multiple of 9260 and 9266 is 42901580.