Least Common Multiple of 8276 and 8282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8276 and 8282 the smallest integer that is 34270916 that is divisible by both numbers.

Least Common Multiple (LCM) of 8276 and 8282 is 34270916.

LCM(8276,8282) = 34270916

LCM of 8276 and 8282

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

LCM of:
and

Least Common Multiple of 8276 and 8282

LCM of 8276 and 8282 is 34270916

Least common multiple can be found by multiplying the highest exponent prime factors of 8276 and 8282. First we will calculate the prime factors of 8276 and 8282.

Prime Factorization of 8276


2 8276
2 4138
2069 2069
1

Prime factors of 8276 are 2,2069. Prime factorization of 8276 in exponential form is:

8276 = 22×20691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8276 and 8282.

LCM(8276,8282) = 22×411×1011×20691
LCM(8276,8282) = 34270916

Factors of 8276

List of positive integer factors of 8276 that divides 8276 without a remainder.

1, 2, 4, 2069, 4138, 8276

Factors of 8282

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

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

Least Common Multiple of 8276 and 8282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8276 and 8282, than apply into the LCM equation.

GCF(8276,8282) = 2
LCM(8276,8282) = ( 8276 × 8282) / 2
LCM(8276,8282) = 68541832 / 2
LCM(8276,8282) = 34270916

Properties of LCM 8276 and 8282

(i) The LCM of 8282 and 8276 is associative

LCM of 8276 and 8282 = LCM of 8282 and 8276

Related Least Common Multiples of 8276

Related Least Common Multiples of 8282

Frequently Asked Questions on LCM of 8276 and 8282

1. What is the LCM of 8276 and 8282?

Answer: LCM of 8276 and 8282 is 34270916.

2. What are the Factors of 8276?

Answer: Factors of 8276 are 1, 2, 4, 2069, 4138, 8276. There are 6 integers that are factors of 8276. The greatest factor of 8276 is 8276.

3. 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.

4. How to Find the LCM of 8276 and 8282?

Answer:

Least Common Multiple of 8276 and 8282 = 34270916

Step 1: Find the prime factorization of 8276

8276 = 2 x 2 x 2069

Step 2: Find the prime factorization of 8282

8282 = 2 x 41 x 101

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

LCM = 34270916 = 2 x 2 x 41 x 101 x 2069

Step 4: Therefore, the least common multiple of 8276 and 8282 is 34270916.