Least Common Multiple of 310436 and 310443

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

• Least Common Multiple of 310436 and 310443 by Prime method
• Least Common Multiple of 310436 and 310443 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310436 and 310443. First we will calculate the prime factors of 310436 and 310443.

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 310443

Prime factors of 310443 are 3, 7,14783. Prime factorization of 310443 in exponential form is:

310443 = 3¹×7¹×14783¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310436 and 310443.

LCM(310436,310443) = 2²×3¹×7¹×11087¹×14783¹
LCM(310436,310443) = 13767526164

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 310443

List of positive integer factors of 310443 that divides 310443 without a remainder.

1, 3, 7, 21, 14783, 44349, 103481, 310443

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310436 and 310443, than apply into the LCM equation.

GCF(310436,310443) = 7
LCM(310436,310443) = ( 310436 × 310443) / 7
LCM(310436,310443) = 96372683148 / 7
LCM(310436,310443) = 13767526164

(i) The LCM of 310443 and 310436 is associative

LCM of 310436 and 310443 = LCM of 310443 and 310436

1. What is the LCM of 310436 and 310443?

Answer: LCM of 310436 and 310443 is 13767526164.

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 310443?

Answer: Factors of 310443 are 1, 3, 7, 21, 14783, 44349, 103481, 310443. There are 8 integers that are factors of 310443. The greatest factor of 310443 is 310443.

4. How to Find the LCM of 310436 and 310443?

Answer:

Least Common Multiple of 310436 and 310443 = 13767526164

Step 1: Find the prime factorization of 310436

310436 = 2 x 2 x 7 x 11087

Step 2: Find the prime factorization of 310443

310443 = 3 x 7 x 14783

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

LCM = 13767526164 = 2 x 2 x 3 x 7 x 11087 x 14783

Step 4: Therefore, the least common multiple of 310436 and 310443 is 13767526164.