Least Common Multiple of 8266 and 8270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8266 and 8270 the smallest integer that is 34179910 that is divisible by both numbers.

Least Common Multiple (LCM) of 8266 and 8270 is 34179910.

LCM(8266,8270) = 34179910

LCM of 8266 and 8270

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

LCM of:
and

Least Common Multiple of 8266 and 8270

LCM of 8266 and 8270 is 34179910

Least common multiple can be found by multiplying the highest exponent prime factors of 8266 and 8270. First we will calculate the prime factors of 8266 and 8270.

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

Prime Factorization of 8270


2 8270
5 4135
827 827
1

Prime factors of 8270 are 2, 5,827. Prime factorization of 8270 in exponential form is:

8270 = 21×51×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 8266 and 8270.

LCM(8266,8270) = 21×51×8271×41331
LCM(8266,8270) = 34179910

Factors of 8266

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

1, 2, 4133, 8266

Factors of 8270

List of positive integer factors of 8270 that divides 8270 without a remainder.

1, 2, 5, 10, 827, 1654, 4135, 8270

Least Common Multiple of 8266 and 8270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8266 and 8270, than apply into the LCM equation.

GCF(8266,8270) = 2
LCM(8266,8270) = ( 8266 × 8270) / 2
LCM(8266,8270) = 68359820 / 2
LCM(8266,8270) = 34179910

Properties of LCM 8266 and 8270

(i) The LCM of 8270 and 8266 is associative

LCM of 8266 and 8270 = LCM of 8270 and 8266

Related Least Common Multiples of 8266

Related Least Common Multiples of 8270

Frequently Asked Questions on LCM of 8266 and 8270

1. What is the LCM of 8266 and 8270?

Answer: LCM of 8266 and 8270 is 34179910.

2. 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.

3. What are the Factors of 8270?

Answer: Factors of 8270 are 1, 2, 5, 10, 827, 1654, 4135, 8270. There are 8 integers that are factors of 8270. The greatest factor of 8270 is 8270.

4. How to Find the LCM of 8266 and 8270?

Answer:

Least Common Multiple of 8266 and 8270 = 34179910

Step 1: Find the prime factorization of 8266

8266 = 2 x 4133

Step 2: Find the prime factorization of 8270

8270 = 2 x 5 x 827

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

LCM = 34179910 = 2 x 5 x 827 x 4133

Step 4: Therefore, the least common multiple of 8266 and 8270 is 34179910.