Least Common Multiple of 313457 and 313462

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

• Least Common Multiple of 313457 and 313462 by Prime method
• Least Common Multiple of 313457 and 313462 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 313457 and 313462. First we will calculate the prime factors of 313457 and 313462.

Prime Factorization of 313457

Prime factors of 313457 are 331,947. Prime factorization of 313457 in exponential form is:

313457 = 331¹×947¹

Prime Factorization of 313462

Prime factors of 313462 are 2, 19, 73,113. Prime factorization of 313462 in exponential form is:

313462 = 2¹×19¹×73¹×113¹

Now multiplying the highest exponent prime factors to calculate the LCM of 313457 and 313462.

LCM(313457,313462) = 2¹×19¹×73¹×113¹×331¹×947¹
LCM(313457,313462) = 98256858134

Factors of 313457

List of positive integer factors of 313457 that divides 313457 without a remainder.

1, 331, 947, 313457

Factors of 313462

List of positive integer factors of 313462 that divides 313462 without a remainder.

1, 2, 19, 38, 73, 113, 146, 226, 1387, 2147, 2774, 4294, 8249, 16498, 156731, 313462

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313457 and 313462, than apply into the LCM equation.

GCF(313457,313462) = 1
LCM(313457,313462) = ( 313457 × 313462) / 1
LCM(313457,313462) = 98256858134 / 1
LCM(313457,313462) = 98256858134

(i) The LCM of 313462 and 313457 is associative

LCM of 313457 and 313462 = LCM of 313462 and 313457

1. What is the LCM of 313457 and 313462?

Answer: LCM of 313457 and 313462 is 98256858134.

2. What are the Factors of 313457?

Answer: Factors of 313457 are 1, 331, 947, 313457. There are 4 integers that are factors of 313457. The greatest factor of 313457 is 313457.

3. What are the Factors of 313462?

Answer: Factors of 313462 are 1, 2, 19, 38, 73, 113, 146, 226, 1387, 2147, 2774, 4294, 8249, 16498, 156731, 313462. There are 16 integers that are factors of 313462. The greatest factor of 313462 is 313462.

4. How to Find the LCM of 313457 and 313462?

Answer:

Least Common Multiple of 313457 and 313462 = 98256858134

Step 1: Find the prime factorization of 313457

313457 = 331 x 947

Step 2: Find the prime factorization of 313462

313462 = 2 x 19 x 73 x 113

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

LCM = 98256858134 = 2 x 19 x 73 x 113 x 331 x 947

Step 4: Therefore, the least common multiple of 313457 and 313462 is 98256858134.