Least Common Multiple of 311405 and 311413

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

• Least Common Multiple of 311405 and 311413 by Prime method
• Least Common Multiple of 311405 and 311413 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 311405 and 311413. First we will calculate the prime factors of 311405 and 311413.

Prime Factorization of 311405

Prime factors of 311405 are 5, 61,1021. Prime factorization of 311405 in exponential form is:

311405 = 5¹×61¹×1021¹

Prime Factorization of 311413

Prime factors of 311413 are 109,2857. Prime factorization of 311413 in exponential form is:

311413 = 109¹×2857¹

Now multiplying the highest exponent prime factors to calculate the LCM of 311405 and 311413.

LCM(311405,311413) = 5¹×61¹×109¹×1021¹×2857¹
LCM(311405,311413) = 96975565265

Factors of 311405

List of positive integer factors of 311405 that divides 311405 without a remainder.

1, 5, 61, 305, 1021, 5105, 62281, 311405

Factors of 311413

List of positive integer factors of 311413 that divides 311413 without a remainder.

1, 109, 2857, 311413

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311405 and 311413, than apply into the LCM equation.

GCF(311405,311413) = 1
LCM(311405,311413) = ( 311405 × 311413) / 1
LCM(311405,311413) = 96975565265 / 1
LCM(311405,311413) = 96975565265

(i) The LCM of 311413 and 311405 is associative

LCM of 311405 and 311413 = LCM of 311413 and 311405

1. What is the LCM of 311405 and 311413?

Answer: LCM of 311405 and 311413 is 96975565265.

2. What are the Factors of 311405?

Answer: Factors of 311405 are 1, 5, 61, 305, 1021, 5105, 62281, 311405. There are 8 integers that are factors of 311405. The greatest factor of 311405 is 311405.

3. What are the Factors of 311413?

Answer: Factors of 311413 are 1, 109, 2857, 311413. There are 4 integers that are factors of 311413. The greatest factor of 311413 is 311413.

4. How to Find the LCM of 311405 and 311413?

Answer:

Least Common Multiple of 311405 and 311413 = 96975565265

Step 1: Find the prime factorization of 311405

311405 = 5 x 61 x 1021

Step 2: Find the prime factorization of 311413

311413 = 109 x 2857

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

LCM = 96975565265 = 5 x 61 x 109 x 1021 x 2857

Step 4: Therefore, the least common multiple of 311405 and 311413 is 96975565265.