Least Common Multiple of 8263 and 8271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8263 and 8271 the smallest integer that is 68343273 that is divisible by both numbers.

Least Common Multiple (LCM) of 8263 and 8271 is 68343273.

LCM(8263,8271) = 68343273

LCM of 8263 and 8271

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

LCM of:
and

Least Common Multiple of 8263 and 8271

LCM of 8263 and 8271 is 68343273

Least common multiple can be found by multiplying the highest exponent prime factors of 8263 and 8271. First we will calculate the prime factors of 8263 and 8271.

Prime Factorization of 8263


8263 8263
1

Prime factors of 8263 are 8263. Prime factorization of 8263 in exponential form is:

8263 = 82631

Prime Factorization of 8271


3 8271
3 2757
919 919
1

Prime factors of 8271 are 3,919. Prime factorization of 8271 in exponential form is:

8271 = 32×9191

Now multiplying the highest exponent prime factors to calculate the LCM of 8263 and 8271.

LCM(8263,8271) = 32×9191×82631
LCM(8263,8271) = 68343273

Factors of 8263

List of positive integer factors of 8263 that divides 8263 without a remainder.

1, 8263

Factors of 8271

List of positive integer factors of 8271 that divides 8271 without a remainder.

1, 3, 9, 919, 2757, 8271

Least Common Multiple of 8263 and 8271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8263 and 8271, than apply into the LCM equation.

GCF(8263,8271) = 1
LCM(8263,8271) = ( 8263 × 8271) / 1
LCM(8263,8271) = 68343273 / 1
LCM(8263,8271) = 68343273

Properties of LCM 8263 and 8271

(i) The LCM of 8271 and 8263 is associative

LCM of 8263 and 8271 = LCM of 8271 and 8263

Related Least Common Multiples of 8263

Related Least Common Multiples of 8271

Frequently Asked Questions on LCM of 8263 and 8271

1. What is the LCM of 8263 and 8271?

Answer: LCM of 8263 and 8271 is 68343273.

2. What are the Factors of 8263?

Answer: Factors of 8263 are 1, 8263. There are 2 integers that are factors of 8263. The greatest factor of 8263 is 8263.

3. What are the Factors of 8271?

Answer: Factors of 8271 are 1, 3, 9, 919, 2757, 8271. There are 6 integers that are factors of 8271. The greatest factor of 8271 is 8271.

4. How to Find the LCM of 8263 and 8271?

Answer:

Least Common Multiple of 8263 and 8271 = 68343273

Step 1: Find the prime factorization of 8263

8263 = 8263

Step 2: Find the prime factorization of 8271

8271 = 3 x 3 x 919

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

LCM = 68343273 = 3 x 3 x 919 x 8263

Step 4: Therefore, the least common multiple of 8263 and 8271 is 68343273.