Least Common Multiple of 310453 and 310459

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

• Least Common Multiple of 310453 and 310459 by Prime method
• Least Common Multiple of 310453 and 310459 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310453 and 310459. First we will calculate the prime factors of 310453 and 310459.

Prime Factorization of 310453

Prime factors of 310453 are 11, 13,167. Prime factorization of 310453 in exponential form is:

310453 = 11¹×13²×167¹

Prime Factorization of 310459

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

310459 = 310459¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310453 and 310459.

LCM(310453,310459) = 11¹×13²×167¹×310459¹
LCM(310453,310459) = 96382927927

Factors of 310453

List of positive integer factors of 310453 that divides 310453 without a remainder.

1, 11, 13, 143, 167, 169, 1837, 1859, 2171, 23881, 28223, 310453

Factors of 310459

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

1, 310459

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310453 and 310459, than apply into the LCM equation.

GCF(310453,310459) = 1
LCM(310453,310459) = ( 310453 × 310459) / 1
LCM(310453,310459) = 96382927927 / 1
LCM(310453,310459) = 96382927927

(i) The LCM of 310459 and 310453 is associative

LCM of 310453 and 310459 = LCM of 310459 and 310453

1. What is the LCM of 310453 and 310459?

Answer: LCM of 310453 and 310459 is 96382927927.

2. What are the Factors of 310453?

Answer: Factors of 310453 are 1, 11, 13, 143, 167, 169, 1837, 1859, 2171, 23881, 28223, 310453. There are 12 integers that are factors of 310453. The greatest factor of 310453 is 310453.

3. 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.

4. How to Find the LCM of 310453 and 310459?

Answer:

Least Common Multiple of 310453 and 310459 = 96382927927

Step 1: Find the prime factorization of 310453

310453 = 11 x 13 x 13 x 167

Step 2: Find the prime factorization of 310459

310459 = 310459

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

LCM = 96382927927 = 11 x 13 x 13 x 167 x 310459

Step 4: Therefore, the least common multiple of 310453 and 310459 is 96382927927.