Least Common Multiple of 8271 and 8277

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 8277 the smallest integer that is 22819689 that is divisible by both numbers.

Least Common Multiple (LCM) of 8271 and 8277 is 22819689.

LCM(8271,8277) = 22819689

LCM of 8271 and 8277

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

LCM of:
and

Least Common Multiple of 8271 and 8277

LCM of 8271 and 8277 is 22819689

Least common multiple can be found by multiplying the highest exponent prime factors of 8271 and 8277. First we will calculate the prime factors of 8271 and 8277.

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 8277


3 8277
31 2759
89 89
1

Prime factors of 8277 are 3, 31,89. Prime factorization of 8277 in exponential form is:

8277 = 31×311×891

Now multiplying the highest exponent prime factors to calculate the LCM of 8271 and 8277.

LCM(8271,8277) = 32×311×891×9191
LCM(8271,8277) = 22819689

Factors of 8271

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

1, 3, 9, 919, 2757, 8271

Factors of 8277

List of positive integer factors of 8277 that divides 8277 without a remainder.

1, 3, 31, 89, 93, 267, 2759, 8277

Least Common Multiple of 8271 and 8277 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 8277, than apply into the LCM equation.

GCF(8271,8277) = 3
LCM(8271,8277) = ( 8271 × 8277) / 3
LCM(8271,8277) = 68459067 / 3
LCM(8271,8277) = 22819689

Properties of LCM 8271 and 8277

(i) The LCM of 8277 and 8271 is associative

LCM of 8271 and 8277 = LCM of 8277 and 8271

Related Least Common Multiples of 8271

Related Least Common Multiples of 8277

Frequently Asked Questions on LCM of 8271 and 8277

1. What is the LCM of 8271 and 8277?

Answer: LCM of 8271 and 8277 is 22819689.

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 8277?

Answer: Factors of 8277 are 1, 3, 31, 89, 93, 267, 2759, 8277. There are 8 integers that are factors of 8277. The greatest factor of 8277 is 8277.

4. How to Find the LCM of 8271 and 8277?

Answer:

Least Common Multiple of 8271 and 8277 = 22819689

Step 1: Find the prime factorization of 8271

8271 = 3 x 3 x 919

Step 2: Find the prime factorization of 8277

8277 = 3 x 31 x 89

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

LCM = 22819689 = 3 x 3 x 31 x 89 x 919

Step 4: Therefore, the least common multiple of 8271 and 8277 is 22819689.