Least Common Multiple of 310449 and 310453

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

• Least Common Multiple of 310449 and 310453 by Prime method
• Least Common Multiple of 310449 and 310453 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310449 and 310453. First we will calculate the prime factors of 310449 and 310453.

Prime Factorization of 310449

Prime factors of 310449 are 3,103483. Prime factorization of 310449 in exponential form is:

310449 = 3¹×103483¹

Prime Factorization of 310453

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

310453 = 11¹×13²×167¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310449 and 310453.

LCM(310449,310453) = 3¹×11¹×13²×167¹×103483¹
LCM(310449,310453) = 96379823397

Factors of 310449

List of positive integer factors of 310449 that divides 310449 without a remainder.

1, 3, 103483, 310449

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310449 and 310453, than apply into the LCM equation.

GCF(310449,310453) = 1
LCM(310449,310453) = ( 310449 × 310453) / 1
LCM(310449,310453) = 96379823397 / 1
LCM(310449,310453) = 96379823397

(i) The LCM of 310453 and 310449 is associative

LCM of 310449 and 310453 = LCM of 310453 and 310449

1. What is the LCM of 310449 and 310453?

Answer: LCM of 310449 and 310453 is 96379823397.

2. What are the Factors of 310449?

Answer: Factors of 310449 are 1, 3, 103483, 310449. There are 4 integers that are factors of 310449. The greatest factor of 310449 is 310449.

3. 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.

4. How to Find the LCM of 310449 and 310453?

Answer:

Least Common Multiple of 310449 and 310453 = 96379823397

Step 1: Find the prime factorization of 310449

310449 = 3 x 103483

Step 2: Find the prime factorization of 310453

310453 = 11 x 13 x 13 x 167

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

LCM = 96379823397 = 3 x 11 x 13 x 13 x 167 x 103483

Step 4: Therefore, the least common multiple of 310449 and 310453 is 96379823397.