Least Common Multiple of 8265 and 8267

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

• Least Common Multiple of 8265 and 8267 by Prime method
• Least Common Multiple of 8265 and 8267 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 8265 and 8267. First we will calculate the prime factors of 8265 and 8267.

Prime Factorization of 8265

Prime factors of 8265 are 3, 5, 19,29. Prime factorization of 8265 in exponential form is:

8265 = 3¹×5¹×19¹×29¹

Prime Factorization of 8267

Prime factors of 8267 are 7,1181. Prime factorization of 8267 in exponential form is:

8267 = 7¹×1181¹

Now multiplying the highest exponent prime factors to calculate the LCM of 8265 and 8267.

LCM(8265,8267) = 3¹×5¹×7¹×19¹×29¹×1181¹
LCM(8265,8267) = 68326755

Factors of 8265

List of positive integer factors of 8265 that divides 8265 without a remainder.

1, 3, 5, 15, 19, 29, 57, 87, 95, 145, 285, 435, 551, 1653, 2755, 8265

Factors of 8267

List of positive integer factors of 8267 that divides 8267 without a remainder.

1, 7, 1181, 8267

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8265 and 8267, than apply into the LCM equation.

GCF(8265,8267) = 1
LCM(8265,8267) = ( 8265 × 8267) / 1
LCM(8265,8267) = 68326755 / 1
LCM(8265,8267) = 68326755

(i) The LCM of 8267 and 8265 is associative

LCM of 8265 and 8267 = LCM of 8267 and 8265

1. What is the LCM of 8265 and 8267?

Answer: LCM of 8265 and 8267 is 68326755.

2. What are the Factors of 8265?

Answer: Factors of 8265 are 1, 3, 5, 15, 19, 29, 57, 87, 95, 145, 285, 435, 551, 1653, 2755, 8265. There are 16 integers that are factors of 8265. The greatest factor of 8265 is 8265.

3. What are the Factors of 8267?

Answer: Factors of 8267 are 1, 7, 1181, 8267. There are 4 integers that are factors of 8267. The greatest factor of 8267 is 8267.

4. How to Find the LCM of 8265 and 8267?

Answer:

Least Common Multiple of 8265 and 8267 = 68326755

Step 1: Find the prime factorization of 8265

8265 = 3 x 5 x 19 x 29

Step 2: Find the prime factorization of 8267

8267 = 7 x 1181

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

LCM = 68326755 = 3 x 5 x 7 x 19 x 29 x 1181

Step 4: Therefore, the least common multiple of 8265 and 8267 is 68326755.