Least Common Multiple of 310436 and 310441

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

• Least Common Multiple of 310436 and 310441 by Prime method
• Least Common Multiple of 310436 and 310441 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310436 and 310441. First we will calculate the prime factors of 310436 and 310441.

Prime Factorization of 310436

Prime factors of 310436 are 2, 7,11087. Prime factorization of 310436 in exponential form is:

310436 = 2²×7¹×11087¹

Prime Factorization of 310441

Prime factors of 310441 are 19,16339. Prime factorization of 310441 in exponential form is:

310441 = 19¹×16339¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310436 and 310441.

LCM(310436,310441) = 2²×7¹×19¹×11087¹×16339¹
LCM(310436,310441) = 96372062276

Factors of 310436

List of positive integer factors of 310436 that divides 310436 without a remainder.

1, 2, 4, 7, 14, 28, 11087, 22174, 44348, 77609, 155218, 310436

Factors of 310441

List of positive integer factors of 310441 that divides 310441 without a remainder.

1, 19, 16339, 310441

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310436 and 310441, than apply into the LCM equation.

GCF(310436,310441) = 1
LCM(310436,310441) = ( 310436 × 310441) / 1
LCM(310436,310441) = 96372062276 / 1
LCM(310436,310441) = 96372062276

(i) The LCM of 310441 and 310436 is associative

LCM of 310436 and 310441 = LCM of 310441 and 310436

1. What is the LCM of 310436 and 310441?

Answer: LCM of 310436 and 310441 is 96372062276.

2. What are the Factors of 310436?

Answer: Factors of 310436 are 1, 2, 4, 7, 14, 28, 11087, 22174, 44348, 77609, 155218, 310436. There are 12 integers that are factors of 310436. The greatest factor of 310436 is 310436.

3. What are the Factors of 310441?

Answer: Factors of 310441 are 1, 19, 16339, 310441. There are 4 integers that are factors of 310441. The greatest factor of 310441 is 310441.

4. How to Find the LCM of 310436 and 310441?

Answer:

Least Common Multiple of 310436 and 310441 = 96372062276

Step 1: Find the prime factorization of 310436

310436 = 2 x 2 x 7 x 11087

Step 2: Find the prime factorization of 310441

310441 = 19 x 16339

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

LCM = 96372062276 = 2 x 2 x 7 x 19 x 11087 x 16339

Step 4: Therefore, the least common multiple of 310436 and 310441 is 96372062276.