Least Common Multiple of 310447 and 310453

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

• Least Common Multiple of 310447 and 310453 by Prime method
• Least Common Multiple of 310447 and 310453 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310447 and 310453. First we will calculate the prime factors of 310447 and 310453.

Prime Factorization of 310447

Prime factors of 310447 are 310447. Prime factorization of 310447 in exponential form is:

310447 = 310447¹

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 310447 and 310453.

LCM(310447,310453) = 11¹×13²×167¹×310447¹
LCM(310447,310453) = 96379202491

Factors of 310447

List of positive integer factors of 310447 that divides 310447 without a remainder.

1, 310447

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 310447 and 310453, than apply into the LCM equation.

GCF(310447,310453) = 1
LCM(310447,310453) = ( 310447 × 310453) / 1
LCM(310447,310453) = 96379202491 / 1
LCM(310447,310453) = 96379202491

(i) The LCM of 310453 and 310447 is associative

LCM of 310447 and 310453 = LCM of 310453 and 310447

1. What is the LCM of 310447 and 310453?

Answer: LCM of 310447 and 310453 is 96379202491.

2. What are the Factors of 310447?

Answer: Factors of 310447 are 1, 310447. There are 2 integers that are factors of 310447. The greatest factor of 310447 is 310447.

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 310447 and 310453?

Answer:

Least Common Multiple of 310447 and 310453 = 96379202491

Step 1: Find the prime factorization of 310447

310447 = 310447

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 = 96379202491 = 11 x 13 x 13 x 167 x 310447

Step 4: Therefore, the least common multiple of 310447 and 310453 is 96379202491.