Least Common Multiple of 311412 and 311419

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

• Least Common Multiple of 311412 and 311419 by Prime method
• Least Common Multiple of 311412 and 311419 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 311412 and 311419. First we will calculate the prime factors of 311412 and 311419.

Prime Factorization of 311412

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

311412 = 2²×3¹×25951¹

Prime Factorization of 311419

Prime factors of 311419 are 311419. Prime factorization of 311419 in exponential form is:

311419 = 311419¹

Now multiplying the highest exponent prime factors to calculate the LCM of 311412 and 311419.

LCM(311412,311419) = 2²×3¹×25951¹×311419¹
LCM(311412,311419) = 96979613628

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

Factors of 311419

List of positive integer factors of 311419 that divides 311419 without a remainder.

1, 311419

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311412 and 311419, than apply into the LCM equation.

GCF(311412,311419) = 1
LCM(311412,311419) = ( 311412 × 311419) / 1
LCM(311412,311419) = 96979613628 / 1
LCM(311412,311419) = 96979613628

(i) The LCM of 311419 and 311412 is associative

LCM of 311412 and 311419 = LCM of 311419 and 311412

1. What is the LCM of 311412 and 311419?

Answer: LCM of 311412 and 311419 is 96979613628.

2. 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.

3. What are the Factors of 311419?

Answer: Factors of 311419 are 1, 311419. There are 2 integers that are factors of 311419. The greatest factor of 311419 is 311419.

4. How to Find the LCM of 311412 and 311419?

Answer:

Least Common Multiple of 311412 and 311419 = 96979613628

Step 1: Find the prime factorization of 311412

311412 = 2 x 2 x 3 x 25951

Step 2: Find the prime factorization of 311419

311419 = 311419

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

LCM = 96979613628 = 2 x 2 x 3 x 25951 x 311419

Step 4: Therefore, the least common multiple of 311412 and 311419 is 96979613628.