Least Common Multiple of 8263 and 8268

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

• Least Common Multiple of 8263 and 8268 by Prime method
• Least Common Multiple of 8263 and 8268 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 8263 and 8268. First we will calculate the prime factors of 8263 and 8268.

Prime Factorization of 8263

Prime factors of 8263 are 8263. Prime factorization of 8263 in exponential form is:

8263 = 8263¹

Prime Factorization of 8268

Prime factors of 8268 are 2, 3, 13,53. Prime factorization of 8268 in exponential form is:

8268 = 2²×3¹×13¹×53¹

Now multiplying the highest exponent prime factors to calculate the LCM of 8263 and 8268.

LCM(8263,8268) = 2²×3¹×13¹×53¹×8263¹
LCM(8263,8268) = 68318484

Factors of 8263

List of positive integer factors of 8263 that divides 8263 without a remainder.

1, 8263

Factors of 8268

List of positive integer factors of 8268 that divides 8268 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8263 and 8268, than apply into the LCM equation.

GCF(8263,8268) = 1
LCM(8263,8268) = ( 8263 × 8268) / 1
LCM(8263,8268) = 68318484 / 1
LCM(8263,8268) = 68318484

(i) The LCM of 8268 and 8263 is associative

LCM of 8263 and 8268 = LCM of 8268 and 8263

1. What is the LCM of 8263 and 8268?

Answer: LCM of 8263 and 8268 is 68318484.

2. What are the Factors of 8263?

Answer: Factors of 8263 are 1, 8263. There are 2 integers that are factors of 8263. The greatest factor of 8263 is 8263.

3. What are the Factors of 8268?

Answer: Factors of 8268 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268. There are 24 integers that are factors of 8268. The greatest factor of 8268 is 8268.

4. How to Find the LCM of 8263 and 8268?

Answer:

Least Common Multiple of 8263 and 8268 = 68318484

Step 1: Find the prime factorization of 8263

8263 = 8263

Step 2: Find the prime factorization of 8268

8268 = 2 x 2 x 3 x 13 x 53

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

LCM = 68318484 = 2 x 2 x 3 x 13 x 53 x 8263

Step 4: Therefore, the least common multiple of 8263 and 8268 is 68318484.