Least Common Multiple of 311405 and 311412

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

• Least Common Multiple of 311405 and 311412 by Prime method
• Least Common Multiple of 311405 and 311412 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 311405 and 311412. First we will calculate the prime factors of 311405 and 311412.

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 311412

Prime factors of 311412 are 2, 3,25951. Prime factorization of 311412 in exponential form is:

311412 = 2²×3¹×25951¹

Now multiplying the highest exponent prime factors to calculate the LCM of 311405 and 311412.

LCM(311405,311412) = 2²×3¹×5¹×61¹×1021¹×25951¹
LCM(311405,311412) = 96975253860

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 311412

List of positive integer factors of 311412 that divides 311412 without a remainder.

1, 2, 3, 4, 6, 12, 25951, 51902, 77853, 103804, 155706, 311412

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311405 and 311412, than apply into the LCM equation.

GCF(311405,311412) = 1
LCM(311405,311412) = ( 311405 × 311412) / 1
LCM(311405,311412) = 96975253860 / 1
LCM(311405,311412) = 96975253860

(i) The LCM of 311412 and 311405 is associative

LCM of 311405 and 311412 = LCM of 311412 and 311405

1. What is the LCM of 311405 and 311412?

Answer: LCM of 311405 and 311412 is 96975253860.

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 311412?

Answer: Factors of 311412 are 1, 2, 3, 4, 6, 12, 25951, 51902, 77853, 103804, 155706, 311412. There are 12 integers that are factors of 311412. The greatest factor of 311412 is 311412.

4. How to Find the LCM of 311405 and 311412?

Answer:

Least Common Multiple of 311405 and 311412 = 96975253860

Step 1: Find the prime factorization of 311405

311405 = 5 x 61 x 1021

Step 2: Find the prime factorization of 311412

311412 = 2 x 2 x 3 x 25951

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

LCM = 96975253860 = 2 x 2 x 3 x 5 x 61 x 1021 x 25951

Step 4: Therefore, the least common multiple of 311405 and 311412 is 96975253860.