Least Common Multiple of 82359 and 82367

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

• Least Common Multiple of 82359 and 82367 by Prime method
• Least Common Multiple of 82359 and 82367 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82359 and 82367. First we will calculate the prime factors of 82359 and 82367.

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 82367

Prime factors of 82367 are 31,2657. Prime factorization of 82367 in exponential form is:

82367 = 31¹×2657¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82359 and 82367.

LCM(82359,82367) = 3²×31¹×2657¹×9151¹
LCM(82359,82367) = 6783663753

Factors of 82359

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

1, 3, 9, 9151, 27453, 82359

Factors of 82367

List of positive integer factors of 82367 that divides 82367 without a remainder.

1, 31, 2657, 82367

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82359 and 82367, than apply into the LCM equation.

GCF(82359,82367) = 1
LCM(82359,82367) = ( 82359 × 82367) / 1
LCM(82359,82367) = 6783663753 / 1
LCM(82359,82367) = 6783663753

(i) The LCM of 82367 and 82359 is associative

LCM of 82359 and 82367 = LCM of 82367 and 82359

1. What is the LCM of 82359 and 82367?

Answer: LCM of 82359 and 82367 is 6783663753.

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 82367?

Answer: Factors of 82367 are 1, 31, 2657, 82367. There are 4 integers that are factors of 82367. The greatest factor of 82367 is 82367.

4. How to Find the LCM of 82359 and 82367?

Answer:

Least Common Multiple of 82359 and 82367 = 6783663753

Step 1: Find the prime factorization of 82359

82359 = 3 x 3 x 9151

Step 2: Find the prime factorization of 82367

82367 = 31 x 2657

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

LCM = 6783663753 = 3 x 3 x 31 x 2657 x 9151

Step 4: Therefore, the least common multiple of 82359 and 82367 is 6783663753.