Least Common Multiple of 8282 and 8287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8282 and 8287 the smallest integer that is 68632934 that is divisible by both numbers.

Least Common Multiple (LCM) of 8282 and 8287 is 68632934.

LCM(8282,8287) = 68632934

LCM of 8282 and 8287

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

LCM of:
and

Least Common Multiple of 8282 and 8287

LCM of 8282 and 8287 is 68632934

Least common multiple can be found by multiplying the highest exponent prime factors of 8282 and 8287. First we will calculate the prime factors of 8282 and 8287.

Prime Factorization of 8282


2 8282
41 4141
101 101
1

Prime factors of 8282 are 2, 41,101. Prime factorization of 8282 in exponential form is:

8282 = 21×411×1011

Prime Factorization of 8287


8287 8287
1

Prime factors of 8287 are 8287. Prime factorization of 8287 in exponential form is:

8287 = 82871

Now multiplying the highest exponent prime factors to calculate the LCM of 8282 and 8287.

LCM(8282,8287) = 21×411×1011×82871
LCM(8282,8287) = 68632934

Factors of 8282

List of positive integer factors of 8282 that divides 8282 without a remainder.

1, 2, 41, 82, 101, 202, 4141, 8282

Factors of 8287

List of positive integer factors of 8287 that divides 8287 without a remainder.

1, 8287

Least Common Multiple of 8282 and 8287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8282 and 8287, than apply into the LCM equation.

GCF(8282,8287) = 1
LCM(8282,8287) = ( 8282 × 8287) / 1
LCM(8282,8287) = 68632934 / 1
LCM(8282,8287) = 68632934

Properties of LCM 8282 and 8287

(i) The LCM of 8287 and 8282 is associative

LCM of 8282 and 8287 = LCM of 8287 and 8282

Related Least Common Multiples of 8282

Related Least Common Multiples of 8287

Frequently Asked Questions on LCM of 8282 and 8287

1. What is the LCM of 8282 and 8287?

Answer: LCM of 8282 and 8287 is 68632934.

2. What are the Factors of 8282?

Answer: Factors of 8282 are 1, 2, 41, 82, 101, 202, 4141, 8282. There are 8 integers that are factors of 8282. The greatest factor of 8282 is 8282.

3. What are the Factors of 8287?

Answer: Factors of 8287 are 1, 8287. There are 2 integers that are factors of 8287. The greatest factor of 8287 is 8287.

4. How to Find the LCM of 8282 and 8287?

Answer:

Least Common Multiple of 8282 and 8287 = 68632934

Step 1: Find the prime factorization of 8282

8282 = 2 x 41 x 101

Step 2: Find the prime factorization of 8287

8287 = 8287

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

LCM = 68632934 = 2 x 41 x 101 x 8287

Step 4: Therefore, the least common multiple of 8282 and 8287 is 68632934.