Least Common Multiple of 82382 and 82389

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

• Least Common Multiple of 82382 and 82389 by Prime method
• Least Common Multiple of 82382 and 82389 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82382 and 82389. First we will calculate the prime factors of 82382 and 82389.

Prime Factorization of 82382

Prime factors of 82382 are 2, 17,2423. Prime factorization of 82382 in exponential form is:

82382 = 2¹×17¹×2423¹

Prime Factorization of 82389

Prime factors of 82389 are 3, 29,947. Prime factorization of 82389 in exponential form is:

82389 = 3¹×29¹×947¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82382 and 82389.

LCM(82382,82389) = 2¹×3¹×17¹×29¹×947¹×2423¹
LCM(82382,82389) = 6787370598

Factors of 82382

List of positive integer factors of 82382 that divides 82382 without a remainder.

1, 2, 17, 34, 2423, 4846, 41191, 82382

Factors of 82389

List of positive integer factors of 82389 that divides 82389 without a remainder.

1, 3, 29, 87, 947, 2841, 27463, 82389

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82382 and 82389, than apply into the LCM equation.

GCF(82382,82389) = 1
LCM(82382,82389) = ( 82382 × 82389) / 1
LCM(82382,82389) = 6787370598 / 1
LCM(82382,82389) = 6787370598

(i) The LCM of 82389 and 82382 is associative

LCM of 82382 and 82389 = LCM of 82389 and 82382

1. What is the LCM of 82382 and 82389?

Answer: LCM of 82382 and 82389 is 6787370598.

2. What are the Factors of 82382?

Answer: Factors of 82382 are 1, 2, 17, 34, 2423, 4846, 41191, 82382. There are 8 integers that are factors of 82382. The greatest factor of 82382 is 82382.

3. What are the Factors of 82389?

Answer: Factors of 82389 are 1, 3, 29, 87, 947, 2841, 27463, 82389. There are 8 integers that are factors of 82389. The greatest factor of 82389 is 82389.

4. How to Find the LCM of 82382 and 82389?

Answer:

Least Common Multiple of 82382 and 82389 = 6787370598

Step 1: Find the prime factorization of 82382

82382 = 2 x 17 x 2423

Step 2: Find the prime factorization of 82389

82389 = 3 x 29 x 947

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

LCM = 6787370598 = 2 x 3 x 17 x 29 x 947 x 2423

Step 4: Therefore, the least common multiple of 82382 and 82389 is 6787370598.