Least Common Multiple of 82393 and 82399

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

• Least Common Multiple of 82393 and 82399 by Prime method
• Least Common Multiple of 82393 and 82399 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82393 and 82399. First we will calculate the prime factors of 82393 and 82399.

Prime Factorization of 82393

Prime factors of 82393 are 82393. Prime factorization of 82393 in exponential form is:

82393 = 82393¹

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 82393 and 82399.

LCM(82393,82399) = 17¹×37¹×131¹×82393¹
LCM(82393,82399) = 6789100807

Factors of 82393

List of positive integer factors of 82393 that divides 82393 without a remainder.

1, 82393

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 82393 and 82399, than apply into the LCM equation.

GCF(82393,82399) = 1
LCM(82393,82399) = ( 82393 × 82399) / 1
LCM(82393,82399) = 6789100807 / 1
LCM(82393,82399) = 6789100807

(i) The LCM of 82399 and 82393 is associative

LCM of 82393 and 82399 = LCM of 82399 and 82393

1. What is the LCM of 82393 and 82399?

Answer: LCM of 82393 and 82399 is 6789100807.

2. What are the Factors of 82393?

Answer: Factors of 82393 are 1, 82393. There are 2 integers that are factors of 82393. The greatest factor of 82393 is 82393.

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 82393 and 82399?

Answer:

Least Common Multiple of 82393 and 82399 = 6789100807

Step 1: Find the prime factorization of 82393

82393 = 82393

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 = 6789100807 = 17 x 37 x 131 x 82393

Step 4: Therefore, the least common multiple of 82393 and 82399 is 6789100807.