Least Common Multiple of 313462 and 313466

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

• Least Common Multiple of 313462 and 313466 by Prime method
• Least Common Multiple of 313462 and 313466 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 313462 and 313466. First we will calculate the prime factors of 313462 and 313466.

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

Prime Factorization of 313466

Prime factors of 313466 are 2,156733. Prime factorization of 313466 in exponential form is:

313466 = 2¹×156733¹

Now multiplying the highest exponent prime factors to calculate the LCM of 313462 and 313466.

LCM(313462,313466) = 2¹×19¹×73¹×113¹×156733¹
LCM(313462,313466) = 49129839646

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

Factors of 313466

List of positive integer factors of 313466 that divides 313466 without a remainder.

1, 2, 156733, 313466

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313462 and 313466, than apply into the LCM equation.

GCF(313462,313466) = 2
LCM(313462,313466) = ( 313462 × 313466) / 2
LCM(313462,313466) = 98259679292 / 2
LCM(313462,313466) = 49129839646

(i) The LCM of 313466 and 313462 is associative

LCM of 313462 and 313466 = LCM of 313466 and 313462

1. What is the LCM of 313462 and 313466?

Answer: LCM of 313462 and 313466 is 49129839646.

2. 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.

3. What are the Factors of 313466?

Answer: Factors of 313466 are 1, 2, 156733, 313466. There are 4 integers that are factors of 313466. The greatest factor of 313466 is 313466.

4. How to Find the LCM of 313462 and 313466?

Answer:

Least Common Multiple of 313462 and 313466 = 49129839646

Step 1: Find the prime factorization of 313462

313462 = 2 x 19 x 73 x 113

Step 2: Find the prime factorization of 313466

313466 = 2 x 156733

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

LCM = 49129839646 = 2 x 19 x 73 x 113 x 156733

Step 4: Therefore, the least common multiple of 313462 and 313466 is 49129839646.