Least Common Multiple of 82394 and 82399

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

• Least Common Multiple of 82394 and 82399 by Prime method
• Least Common Multiple of 82394 and 82399 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82394 and 82399. First we will calculate the prime factors of 82394 and 82399.

Prime Factorization of 82394

Prime factors of 82394 are 2, 13,3169. Prime factorization of 82394 in exponential form is:

82394 = 2¹×13¹×3169¹

Prime Factorization of 82399

Prime factors of 82399 are 17, 37,131. Prime factorization of 82399 in exponential form is:

82399 = 17¹×37¹×131¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82394 and 82399.

LCM(82394,82399) = 2¹×13¹×17¹×37¹×131¹×3169¹
LCM(82394,82399) = 6789183206

Factors of 82394

List of positive integer factors of 82394 that divides 82394 without a remainder.

1, 2, 13, 26, 3169, 6338, 41197, 82394

Factors of 82399

List of positive integer factors of 82399 that divides 82399 without a remainder.

1, 17, 37, 131, 629, 2227, 4847, 82399

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82394 and 82399, than apply into the LCM equation.

GCF(82394,82399) = 1
LCM(82394,82399) = ( 82394 × 82399) / 1
LCM(82394,82399) = 6789183206 / 1
LCM(82394,82399) = 6789183206

(i) The LCM of 82399 and 82394 is associative

LCM of 82394 and 82399 = LCM of 82399 and 82394

1. What is the LCM of 82394 and 82399?

Answer: LCM of 82394 and 82399 is 6789183206.

2. What are the Factors of 82394?

Answer: Factors of 82394 are 1, 2, 13, 26, 3169, 6338, 41197, 82394. There are 8 integers that are factors of 82394. The greatest factor of 82394 is 82394.

3. What are the Factors of 82399?

Answer: Factors of 82399 are 1, 17, 37, 131, 629, 2227, 4847, 82399. There are 8 integers that are factors of 82399. The greatest factor of 82399 is 82399.

4. How to Find the LCM of 82394 and 82399?

Answer:

Least Common Multiple of 82394 and 82399 = 6789183206

Step 1: Find the prime factorization of 82394

82394 = 2 x 13 x 3169

Step 2: Find the prime factorization of 82399

82399 = 17 x 37 x 131

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

LCM = 6789183206 = 2 x 13 x 17 x 37 x 131 x 3169

Step 4: Therefore, the least common multiple of 82394 and 82399 is 6789183206.