Least Common Multiple of 8260 and 8266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8260 and 8266 the smallest integer that is 34138580 that is divisible by both numbers.

Least Common Multiple (LCM) of 8260 and 8266 is 34138580.

LCM(8260,8266) = 34138580

LCM of 8260 and 8266

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

LCM of:
and

Least Common Multiple of 8260 and 8266

LCM of 8260 and 8266 is 34138580

Least common multiple can be found by multiplying the highest exponent prime factors of 8260 and 8266. First we will calculate the prime factors of 8260 and 8266.

Prime Factorization of 8260


2 8260
2 4130
5 2065
7 413
59 59
1

Prime factors of 8260 are 2, 5, 7,59. Prime factorization of 8260 in exponential form is:

8260 = 22×51×71×591

Prime Factorization of 8266


2 8266
4133 4133
1

Prime factors of 8266 are 2,4133. Prime factorization of 8266 in exponential form is:

8266 = 21×41331

Now multiplying the highest exponent prime factors to calculate the LCM of 8260 and 8266.

LCM(8260,8266) = 22×51×71×591×41331
LCM(8260,8266) = 34138580

Factors of 8260

List of positive integer factors of 8260 that divides 8260 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260

Factors of 8266

List of positive integer factors of 8266 that divides 8266 without a remainder.

1, 2, 4133, 8266

Least Common Multiple of 8260 and 8266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8260 and 8266, than apply into the LCM equation.

GCF(8260,8266) = 2
LCM(8260,8266) = ( 8260 × 8266) / 2
LCM(8260,8266) = 68277160 / 2
LCM(8260,8266) = 34138580

Properties of LCM 8260 and 8266

(i) The LCM of 8266 and 8260 is associative

LCM of 8260 and 8266 = LCM of 8266 and 8260

Related Least Common Multiples of 8260

Related Least Common Multiples of 8266

Frequently Asked Questions on LCM of 8260 and 8266

1. What is the LCM of 8260 and 8266?

Answer: LCM of 8260 and 8266 is 34138580.

2. What are the Factors of 8260?

Answer: Factors of 8260 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260. There are 24 integers that are factors of 8260. The greatest factor of 8260 is 8260.

3. What are the Factors of 8266?

Answer: Factors of 8266 are 1, 2, 4133, 8266. There are 4 integers that are factors of 8266. The greatest factor of 8266 is 8266.

4. How to Find the LCM of 8260 and 8266?

Answer:

Least Common Multiple of 8260 and 8266 = 34138580

Step 1: Find the prime factorization of 8260

8260 = 2 x 2 x 5 x 7 x 59

Step 2: Find the prime factorization of 8266

8266 = 2 x 4133

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

LCM = 34138580 = 2 x 2 x 5 x 7 x 59 x 4133

Step 4: Therefore, the least common multiple of 8260 and 8266 is 34138580.