Least Common Multiple of 20394 and 20399

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

• Least Common Multiple of 20394 and 20399 by Prime method
• Least Common Multiple of 20394 and 20399 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 20394 and 20399. First we will calculate the prime factors of 20394 and 20399.

Prime Factorization of 20394

Prime factors of 20394 are 2, 3, 11,103. Prime factorization of 20394 in exponential form is:

20394 = 2¹×3²×11¹×103¹

Prime Factorization of 20399

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

20399 = 20399¹

Now multiplying the highest exponent prime factors to calculate the LCM of 20394 and 20399.

LCM(20394,20399) = 2¹×3²×11¹×103¹×20399¹
LCM(20394,20399) = 416017206

Factors of 20394

List of positive integer factors of 20394 that divides 20394 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 103, 198, 206, 309, 618, 927, 1133, 1854, 2266, 3399, 6798, 10197, 20394

Factors of 20399

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

1, 20399

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20394 and 20399, than apply into the LCM equation.

GCF(20394,20399) = 1
LCM(20394,20399) = ( 20394 × 20399) / 1
LCM(20394,20399) = 416017206 / 1
LCM(20394,20399) = 416017206

(i) The LCM of 20399 and 20394 is associative

LCM of 20394 and 20399 = LCM of 20399 and 20394

1. What is the LCM of 20394 and 20399?

Answer: LCM of 20394 and 20399 is 416017206.

2. What are the Factors of 20394?

Answer: Factors of 20394 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 103, 198, 206, 309, 618, 927, 1133, 1854, 2266, 3399, 6798, 10197, 20394. There are 24 integers that are factors of 20394. The greatest factor of 20394 is 20394.

3. 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.

4. How to Find the LCM of 20394 and 20399?

Answer:

Least Common Multiple of 20394 and 20399 = 416017206

Step 1: Find the prime factorization of 20394

20394 = 2 x 3 x 3 x 11 x 103

Step 2: Find the prime factorization of 20399

20399 = 20399

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

LCM = 416017206 = 2 x 3 x 3 x 11 x 103 x 20399

Step 4: Therefore, the least common multiple of 20394 and 20399 is 416017206.