Least Common Multiple of 20399 and 20405

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

• Least Common Multiple of 20399 and 20405 by Prime method
• Least Common Multiple of 20399 and 20405 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 20399 and 20405. First we will calculate the prime factors of 20399 and 20405.

Prime Factorization of 20399

Prime factors of 20399 are 20399. Prime factorization of 20399 in exponential form is:

20399 = 20399¹

Prime Factorization of 20405

Prime factors of 20405 are 5, 7, 11,53. Prime factorization of 20405 in exponential form is:

20405 = 5¹×7¹×11¹×53¹

Now multiplying the highest exponent prime factors to calculate the LCM of 20399 and 20405.

LCM(20399,20405) = 5¹×7¹×11¹×53¹×20399¹
LCM(20399,20405) = 416241595

Factors of 20399

List of positive integer factors of 20399 that divides 20399 without a remainder.

1, 20399

Factors of 20405

List of positive integer factors of 20405 that divides 20405 without a remainder.

1, 5, 7, 11, 35, 53, 55, 77, 265, 371, 385, 583, 1855, 2915, 4081, 20405

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20399 and 20405, than apply into the LCM equation.

GCF(20399,20405) = 1
LCM(20399,20405) = ( 20399 × 20405) / 1
LCM(20399,20405) = 416241595 / 1
LCM(20399,20405) = 416241595

(i) The LCM of 20405 and 20399 is associative

LCM of 20399 and 20405 = LCM of 20405 and 20399

1. What is the LCM of 20399 and 20405?

Answer: LCM of 20399 and 20405 is 416241595.

2. What are the Factors of 20399?

Answer: Factors of 20399 are 1, 20399. There are 2 integers that are factors of 20399. The greatest factor of 20399 is 20399.

3. What are the Factors of 20405?

Answer: Factors of 20405 are 1, 5, 7, 11, 35, 53, 55, 77, 265, 371, 385, 583, 1855, 2915, 4081, 20405. There are 16 integers that are factors of 20405. The greatest factor of 20405 is 20405.

4. How to Find the LCM of 20399 and 20405?

Answer:

Least Common Multiple of 20399 and 20405 = 416241595

Step 1: Find the prime factorization of 20399

20399 = 20399

Step 2: Find the prime factorization of 20405

20405 = 5 x 7 x 11 x 53

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

LCM = 416241595 = 5 x 7 x 11 x 53 x 20399

Step 4: Therefore, the least common multiple of 20399 and 20405 is 416241595.