Least Common Multiple of 8271 and 8278

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 8278 the smallest integer that is 68467338 that is divisible by both numbers.

Least Common Multiple (LCM) of 8271 and 8278 is 68467338.

LCM(8271,8278) = 68467338

LCM of 8271 and 8278

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

LCM of:
and

Least Common Multiple of 8271 and 8278

LCM of 8271 and 8278 is 68467338

Least common multiple can be found by multiplying the highest exponent prime factors of 8271 and 8278. First we will calculate the prime factors of 8271 and 8278.

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 8278


2 8278
4139 4139
1

Prime factors of 8278 are 2,4139. Prime factorization of 8278 in exponential form is:

8278 = 21×41391

Now multiplying the highest exponent prime factors to calculate the LCM of 8271 and 8278.

LCM(8271,8278) = 21×32×9191×41391
LCM(8271,8278) = 68467338

Factors of 8271

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

1, 3, 9, 919, 2757, 8271

Factors of 8278

List of positive integer factors of 8278 that divides 8278 without a remainder.

1, 2, 4139, 8278

Least Common Multiple of 8271 and 8278 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 8278, than apply into the LCM equation.

GCF(8271,8278) = 1
LCM(8271,8278) = ( 8271 × 8278) / 1
LCM(8271,8278) = 68467338 / 1
LCM(8271,8278) = 68467338

Properties of LCM 8271 and 8278

(i) The LCM of 8278 and 8271 is associative

LCM of 8271 and 8278 = LCM of 8278 and 8271

Related Least Common Multiples of 8271

Related Least Common Multiples of 8278

Frequently Asked Questions on LCM of 8271 and 8278

1. What is the LCM of 8271 and 8278?

Answer: LCM of 8271 and 8278 is 68467338.

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 8278?

Answer: Factors of 8278 are 1, 2, 4139, 8278. There are 4 integers that are factors of 8278. The greatest factor of 8278 is 8278.

4. How to Find the LCM of 8271 and 8278?

Answer:

Least Common Multiple of 8271 and 8278 = 68467338

Step 1: Find the prime factorization of 8271

8271 = 3 x 3 x 919

Step 2: Find the prime factorization of 8278

8278 = 2 x 4139

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

LCM = 68467338 = 2 x 3 x 3 x 919 x 4139

Step 4: Therefore, the least common multiple of 8271 and 8278 is 68467338.