Least Common Multiple of 15401 and 15405

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

• Least Common Multiple of 15401 and 15405 by Prime method
• Least Common Multiple of 15401 and 15405 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15401 and 15405. First we will calculate the prime factors of 15401 and 15405.

Prime Factorization of 15401

Prime factors of 15401 are 15401. Prime factorization of 15401 in exponential form is:

15401 = 15401¹

Prime Factorization of 15405

Prime factors of 15405 are 3, 5, 13,79. Prime factorization of 15405 in exponential form is:

15405 = 3¹×5¹×13¹×79¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15401 and 15405.

LCM(15401,15405) = 3¹×5¹×13¹×79¹×15401¹
LCM(15401,15405) = 237252405

Factors of 15401

List of positive integer factors of 15401 that divides 15401 without a remainder.

1, 15401

Factors of 15405

List of positive integer factors of 15405 that divides 15405 without a remainder.

1, 3, 5, 13, 15, 39, 65, 79, 195, 237, 395, 1027, 1185, 3081, 5135, 15405

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15401 and 15405, than apply into the LCM equation.

GCF(15401,15405) = 1
LCM(15401,15405) = ( 15401 × 15405) / 1
LCM(15401,15405) = 237252405 / 1
LCM(15401,15405) = 237252405

(i) The LCM of 15405 and 15401 is associative

LCM of 15401 and 15405 = LCM of 15405 and 15401

1. What is the LCM of 15401 and 15405?

Answer: LCM of 15401 and 15405 is 237252405.

2. What are the Factors of 15401?

Answer: Factors of 15401 are 1, 15401. There are 2 integers that are factors of 15401. The greatest factor of 15401 is 15401.

3. What are the Factors of 15405?

Answer: Factors of 15405 are 1, 3, 5, 13, 15, 39, 65, 79, 195, 237, 395, 1027, 1185, 3081, 5135, 15405. There are 16 integers that are factors of 15405. The greatest factor of 15405 is 15405.

4. How to Find the LCM of 15401 and 15405?

Answer:

Least Common Multiple of 15401 and 15405 = 237252405

Step 1: Find the prime factorization of 15401

15401 = 15401

Step 2: Find the prime factorization of 15405

15405 = 3 x 5 x 13 x 79

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

LCM = 237252405 = 3 x 5 x 13 x 79 x 15401

Step 4: Therefore, the least common multiple of 15401 and 15405 is 237252405.