Least Common Multiple of 311423 and 311427

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

• Least Common Multiple of 311423 and 311427 by Prime method
• Least Common Multiple of 311423 and 311427 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 311423 and 311427. First we will calculate the prime factors of 311423 and 311427.

Prime Factorization of 311423

Prime factors of 311423 are 7, 17,2617. Prime factorization of 311423 in exponential form is:

311423 = 7¹×17¹×2617¹

Prime Factorization of 311427

Prime factors of 311427 are 3,34603. Prime factorization of 311427 in exponential form is:

311427 = 3²×34603¹

Now multiplying the highest exponent prime factors to calculate the LCM of 311423 and 311427.

LCM(311423,311427) = 3²×7¹×17¹×2617¹×34603¹
LCM(311423,311427) = 96985530621

Factors of 311423

List of positive integer factors of 311423 that divides 311423 without a remainder.

1, 7, 17, 119, 2617, 18319, 44489, 311423

Factors of 311427

List of positive integer factors of 311427 that divides 311427 without a remainder.

1, 3, 9, 34603, 103809, 311427

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311423 and 311427, than apply into the LCM equation.

GCF(311423,311427) = 1
LCM(311423,311427) = ( 311423 × 311427) / 1
LCM(311423,311427) = 96985530621 / 1
LCM(311423,311427) = 96985530621

(i) The LCM of 311427 and 311423 is associative

LCM of 311423 and 311427 = LCM of 311427 and 311423

1. What is the LCM of 311423 and 311427?

Answer: LCM of 311423 and 311427 is 96985530621.

2. What are the Factors of 311423?

Answer: Factors of 311423 are 1, 7, 17, 119, 2617, 18319, 44489, 311423. There are 8 integers that are factors of 311423. The greatest factor of 311423 is 311423.

3. What are the Factors of 311427?

Answer: Factors of 311427 are 1, 3, 9, 34603, 103809, 311427. There are 6 integers that are factors of 311427. The greatest factor of 311427 is 311427.

4. How to Find the LCM of 311423 and 311427?

Answer:

Least Common Multiple of 311423 and 311427 = 96985530621

Step 1: Find the prime factorization of 311423

311423 = 7 x 17 x 2617

Step 2: Find the prime factorization of 311427

311427 = 3 x 3 x 34603

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

LCM = 96985530621 = 3 x 3 x 7 x 17 x 2617 x 34603

Step 4: Therefore, the least common multiple of 311423 and 311427 is 96985530621.