Least Common Multiple of 8264 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 8264 and 8271 the smallest integer that is 68351544 that is divisible by both numbers.

Least Common Multiple (LCM) of 8264 and 8271 is 68351544.

LCM(8264,8271) = 68351544

LCM of 8264 and 8271

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

LCM of:
and

Least Common Multiple of 8264 and 8271

LCM of 8264 and 8271 is 68351544

Least common multiple can be found by multiplying the highest exponent prime factors of 8264 and 8271. First we will calculate the prime factors of 8264 and 8271.

Prime Factorization of 8264


2 8264
2 4132
2 2066
1033 1033
1

Prime factors of 8264 are 2,1033. Prime factorization of 8264 in exponential form is:

8264 = 23×10331

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 8264 and 8271.

LCM(8264,8271) = 23×32×9191×10331
LCM(8264,8271) = 68351544

Factors of 8264

List of positive integer factors of 8264 that divides 8264 without a remainder.

1, 2, 4, 8, 1033, 2066, 4132, 8264

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 8264 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 8264 and 8271, than apply into the LCM equation.

GCF(8264,8271) = 1
LCM(8264,8271) = ( 8264 × 8271) / 1
LCM(8264,8271) = 68351544 / 1
LCM(8264,8271) = 68351544

Properties of LCM 8264 and 8271

(i) The LCM of 8271 and 8264 is associative

LCM of 8264 and 8271 = LCM of 8271 and 8264

Related Least Common Multiples of 8264

Related Least Common Multiples of 8271

Frequently Asked Questions on LCM of 8264 and 8271

1. What is the LCM of 8264 and 8271?

Answer: LCM of 8264 and 8271 is 68351544.

2. What are the Factors of 8264?

Answer: Factors of 8264 are 1, 2, 4, 8, 1033, 2066, 4132, 8264. There are 8 integers that are factors of 8264. The greatest factor of 8264 is 8264.

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 8264 and 8271?

Answer:

Least Common Multiple of 8264 and 8271 = 68351544

Step 1: Find the prime factorization of 8264

8264 = 2 x 2 x 2 x 1033

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 = 68351544 = 2 x 2 x 2 x 3 x 3 x 919 x 1033

Step 4: Therefore, the least common multiple of 8264 and 8271 is 68351544.