Least Common Multiple of 313418 and 313423

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

• Least Common Multiple of 313418 and 313423 by Prime method
• Least Common Multiple of 313418 and 313423 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 313418 and 313423. First we will calculate the prime factors of 313418 and 313423.

Prime Factorization of 313418

Prime factors of 313418 are 2, 7, 61,367. Prime factorization of 313418 in exponential form is:

313418 = 2¹×7¹×61¹×367¹

Prime Factorization of 313423

Prime factors of 313423 are 11,28493. Prime factorization of 313423 in exponential form is:

313423 = 11¹×28493¹

Now multiplying the highest exponent prime factors to calculate the LCM of 313418 and 313423.

LCM(313418,313423) = 2¹×7¹×11¹×61¹×367¹×28493¹
LCM(313418,313423) = 98232409814

Factors of 313418

List of positive integer factors of 313418 that divides 313418 without a remainder.

1, 2, 7, 14, 61, 122, 367, 427, 734, 854, 2569, 5138, 22387, 44774, 156709, 313418

Factors of 313423

List of positive integer factors of 313423 that divides 313423 without a remainder.

1, 11, 28493, 313423

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313418 and 313423, than apply into the LCM equation.

GCF(313418,313423) = 1
LCM(313418,313423) = ( 313418 × 313423) / 1
LCM(313418,313423) = 98232409814 / 1
LCM(313418,313423) = 98232409814

(i) The LCM of 313423 and 313418 is associative

LCM of 313418 and 313423 = LCM of 313423 and 313418

1. What is the LCM of 313418 and 313423?

Answer: LCM of 313418 and 313423 is 98232409814.

2. What are the Factors of 313418?

Answer: Factors of 313418 are 1, 2, 7, 14, 61, 122, 367, 427, 734, 854, 2569, 5138, 22387, 44774, 156709, 313418. There are 16 integers that are factors of 313418. The greatest factor of 313418 is 313418.

3. What are the Factors of 313423?

Answer: Factors of 313423 are 1, 11, 28493, 313423. There are 4 integers that are factors of 313423. The greatest factor of 313423 is 313423.

4. How to Find the LCM of 313418 and 313423?

Answer:

Least Common Multiple of 313418 and 313423 = 98232409814

Step 1: Find the prime factorization of 313418

313418 = 2 x 7 x 61 x 367

Step 2: Find the prime factorization of 313423

313423 = 11 x 28493

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

LCM = 98232409814 = 2 x 7 x 11 x 61 x 367 x 28493

Step 4: Therefore, the least common multiple of 313418 and 313423 is 98232409814.