Least Common Multiple of 8271 and 8279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8271 and 8279 the smallest integer that is 68475609 that is divisible by both numbers.

Least Common Multiple (LCM) of 8271 and 8279 is 68475609.

LCM(8271,8279) = 68475609

LCM of 8271 and 8279

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

LCM of:
and

Least Common Multiple of 8271 and 8279

LCM of 8271 and 8279 is 68475609

Least common multiple can be found by multiplying the highest exponent prime factors of 8271 and 8279. First we will calculate the prime factors of 8271 and 8279.

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

Prime Factorization of 8279


17 8279
487 487
1

Prime factors of 8279 are 17,487. Prime factorization of 8279 in exponential form is:

8279 = 171×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 8271 and 8279.

LCM(8271,8279) = 32×171×4871×9191
LCM(8271,8279) = 68475609

Factors of 8271

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

1, 3, 9, 919, 2757, 8271

Factors of 8279

List of positive integer factors of 8279 that divides 8279 without a remainder.

1, 17, 487, 8279

Least Common Multiple of 8271 and 8279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8271 and 8279, than apply into the LCM equation.

GCF(8271,8279) = 1
LCM(8271,8279) = ( 8271 × 8279) / 1
LCM(8271,8279) = 68475609 / 1
LCM(8271,8279) = 68475609

Properties of LCM 8271 and 8279

(i) The LCM of 8279 and 8271 is associative

LCM of 8271 and 8279 = LCM of 8279 and 8271

Related Least Common Multiples of 8271

Related Least Common Multiples of 8279

Frequently Asked Questions on LCM of 8271 and 8279

1. What is the LCM of 8271 and 8279?

Answer: LCM of 8271 and 8279 is 68475609.

2. 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.

3. What are the Factors of 8279?

Answer: Factors of 8279 are 1, 17, 487, 8279. There are 4 integers that are factors of 8279. The greatest factor of 8279 is 8279.

4. How to Find the LCM of 8271 and 8279?

Answer:

Least Common Multiple of 8271 and 8279 = 68475609

Step 1: Find the prime factorization of 8271

8271 = 3 x 3 x 919

Step 2: Find the prime factorization of 8279

8279 = 17 x 487

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

LCM = 68475609 = 3 x 3 x 17 x 487 x 919

Step 4: Therefore, the least common multiple of 8271 and 8279 is 68475609.