Least Common Multiple of 310459 and 310466

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

• Least Common Multiple of 310459 and 310466 by Prime method
• Least Common Multiple of 310459 and 310466 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310459 and 310466. First we will calculate the prime factors of 310459 and 310466.

Prime Factorization of 310459

Prime factors of 310459 are 310459. Prime factorization of 310459 in exponential form is:

310459 = 310459¹

Prime Factorization of 310466

Prime factors of 310466 are 2, 13,11941. Prime factorization of 310466 in exponential form is:

310466 = 2¹×13¹×11941¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310459 and 310466.

LCM(310459,310466) = 2¹×13¹×11941¹×310459¹
LCM(310459,310466) = 96386963894

Factors of 310459

List of positive integer factors of 310459 that divides 310459 without a remainder.

1, 310459

Factors of 310466

List of positive integer factors of 310466 that divides 310466 without a remainder.

1, 2, 13, 26, 11941, 23882, 155233, 310466

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310459 and 310466, than apply into the LCM equation.

GCF(310459,310466) = 1
LCM(310459,310466) = ( 310459 × 310466) / 1
LCM(310459,310466) = 96386963894 / 1
LCM(310459,310466) = 96386963894

(i) The LCM of 310466 and 310459 is associative

LCM of 310459 and 310466 = LCM of 310466 and 310459

1. What is the LCM of 310459 and 310466?

Answer: LCM of 310459 and 310466 is 96386963894.

2. What are the Factors of 310459?

Answer: Factors of 310459 are 1, 310459. There are 2 integers that are factors of 310459. The greatest factor of 310459 is 310459.

3. What are the Factors of 310466?

Answer: Factors of 310466 are 1, 2, 13, 26, 11941, 23882, 155233, 310466. There are 8 integers that are factors of 310466. The greatest factor of 310466 is 310466.

4. How to Find the LCM of 310459 and 310466?

Answer:

Least Common Multiple of 310459 and 310466 = 96386963894

Step 1: Find the prime factorization of 310459

310459 = 310459

Step 2: Find the prime factorization of 310466

310466 = 2 x 13 x 11941

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

LCM = 96386963894 = 2 x 13 x 11941 x 310459

Step 4: Therefore, the least common multiple of 310459 and 310466 is 96386963894.