Least Common Multiple of 82333 and 82338

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

• Least Common Multiple of 82333 and 82338 by Prime method
• Least Common Multiple of 82333 and 82338 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82333 and 82338. First we will calculate the prime factors of 82333 and 82338.

Prime Factorization of 82333

Prime factors of 82333 are 281,293. Prime factorization of 82333 in exponential form is:

82333 = 281¹×293¹

Prime Factorization of 82338

Prime factors of 82338 are 2, 3,13723. Prime factorization of 82338 in exponential form is:

82338 = 2¹×3¹×13723¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82333 and 82338.

LCM(82333,82338) = 2¹×3¹×281¹×293¹×13723¹
LCM(82333,82338) = 6779134554

Factors of 82333

List of positive integer factors of 82333 that divides 82333 without a remainder.

1, 281, 293, 82333

Factors of 82338

List of positive integer factors of 82338 that divides 82338 without a remainder.

1, 2, 3, 6, 13723, 27446, 41169, 82338

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82333 and 82338, than apply into the LCM equation.

GCF(82333,82338) = 1
LCM(82333,82338) = ( 82333 × 82338) / 1
LCM(82333,82338) = 6779134554 / 1
LCM(82333,82338) = 6779134554

(i) The LCM of 82338 and 82333 is associative

LCM of 82333 and 82338 = LCM of 82338 and 82333

1. What is the LCM of 82333 and 82338?

Answer: LCM of 82333 and 82338 is 6779134554.

2. What are the Factors of 82333?

Answer: Factors of 82333 are 1, 281, 293, 82333. There are 4 integers that are factors of 82333. The greatest factor of 82333 is 82333.

3. What are the Factors of 82338?

Answer: Factors of 82338 are 1, 2, 3, 6, 13723, 27446, 41169, 82338. There are 8 integers that are factors of 82338. The greatest factor of 82338 is 82338.

4. How to Find the LCM of 82333 and 82338?

Answer:

Least Common Multiple of 82333 and 82338 = 6779134554

Step 1: Find the prime factorization of 82333

82333 = 281 x 293

Step 2: Find the prime factorization of 82338

82338 = 2 x 3 x 13723

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

LCM = 6779134554 = 2 x 3 x 281 x 293 x 13723

Step 4: Therefore, the least common multiple of 82333 and 82338 is 6779134554.