Least Common Multiple of 311407 and 311412

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

• Least Common Multiple of 311407 and 311412 by Prime method
• Least Common Multiple of 311407 and 311412 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 311407 and 311412. First we will calculate the prime factors of 311407 and 311412.

Prime Factorization of 311407

Prime factors of 311407 are 311407. Prime factorization of 311407 in exponential form is:

311407 = 311407¹

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 311407 and 311412.

LCM(311407,311412) = 2²×3¹×25951¹×311407¹
LCM(311407,311412) = 96975876684

Factors of 311407

List of positive integer factors of 311407 that divides 311407 without a remainder.

1, 311407

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 311407 and 311412, than apply into the LCM equation.

GCF(311407,311412) = 1
LCM(311407,311412) = ( 311407 × 311412) / 1
LCM(311407,311412) = 96975876684 / 1
LCM(311407,311412) = 96975876684

(i) The LCM of 311412 and 311407 is associative

LCM of 311407 and 311412 = LCM of 311412 and 311407

1. What is the LCM of 311407 and 311412?

Answer: LCM of 311407 and 311412 is 96975876684.

2. What are the Factors of 311407?

Answer: Factors of 311407 are 1, 311407. There are 2 integers that are factors of 311407. The greatest factor of 311407 is 311407.

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 311407 and 311412?

Answer:

Least Common Multiple of 311407 and 311412 = 96975876684

Step 1: Find the prime factorization of 311407

311407 = 311407

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 = 96975876684 = 2 x 2 x 3 x 25951 x 311407

Step 4: Therefore, the least common multiple of 311407 and 311412 is 96975876684.