Least Common Multiple of 82359 and 82363

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

• Least Common Multiple of 82359 and 82363 by Prime method
• Least Common Multiple of 82359 and 82363 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82359 and 82363. First we will calculate the prime factors of 82359 and 82363.

Prime Factorization of 82359

Prime factors of 82359 are 3,9151. Prime factorization of 82359 in exponential form is:

82359 = 3²×9151¹

Prime Factorization of 82363

Prime factors of 82363 are 23,3581. Prime factorization of 82363 in exponential form is:

82363 = 23¹×3581¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82359 and 82363.

LCM(82359,82363) = 3²×23¹×3581¹×9151¹
LCM(82359,82363) = 6783334317

Factors of 82359

List of positive integer factors of 82359 that divides 82359 without a remainder.

1, 3, 9, 9151, 27453, 82359

Factors of 82363

List of positive integer factors of 82363 that divides 82363 without a remainder.

1, 23, 3581, 82363

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82359 and 82363, than apply into the LCM equation.

GCF(82359,82363) = 1
LCM(82359,82363) = ( 82359 × 82363) / 1
LCM(82359,82363) = 6783334317 / 1
LCM(82359,82363) = 6783334317

(i) The LCM of 82363 and 82359 is associative

LCM of 82359 and 82363 = LCM of 82363 and 82359

1. What is the LCM of 82359 and 82363?

Answer: LCM of 82359 and 82363 is 6783334317.

2. What are the Factors of 82359?

Answer: Factors of 82359 are 1, 3, 9, 9151, 27453, 82359. There are 6 integers that are factors of 82359. The greatest factor of 82359 is 82359.

3. What are the Factors of 82363?

Answer: Factors of 82363 are 1, 23, 3581, 82363. There are 4 integers that are factors of 82363. The greatest factor of 82363 is 82363.

4. How to Find the LCM of 82359 and 82363?

Answer:

Least Common Multiple of 82359 and 82363 = 6783334317

Step 1: Find the prime factorization of 82359

82359 = 3 x 3 x 9151

Step 2: Find the prime factorization of 82363

82363 = 23 x 3581

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

LCM = 6783334317 = 3 x 3 x 23 x 3581 x 9151

Step 4: Therefore, the least common multiple of 82359 and 82363 is 6783334317.