Least Common Multiple of 310426 and 310433

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

• Least Common Multiple of 310426 and 310433 by Prime method
• Least Common Multiple of 310426 and 310433 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310426 and 310433. First we will calculate the prime factors of 310426 and 310433.

Prime Factorization of 310426

Prime factors of 310426 are 2, 269,577. Prime factorization of 310426 in exponential form is:

310426 = 2¹×269¹×577¹

Prime Factorization of 310433

Prime factors of 310433 are 310433. Prime factorization of 310433 in exponential form is:

310433 = 310433¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310426 and 310433.

LCM(310426,310433) = 2¹×269¹×577¹×310433¹
LCM(310426,310433) = 96366474458

Factors of 310426

List of positive integer factors of 310426 that divides 310426 without a remainder.

1, 2, 269, 538, 577, 1154, 155213, 310426

Factors of 310433

List of positive integer factors of 310433 that divides 310433 without a remainder.

1, 310433

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310426 and 310433, than apply into the LCM equation.

GCF(310426,310433) = 1
LCM(310426,310433) = ( 310426 × 310433) / 1
LCM(310426,310433) = 96366474458 / 1
LCM(310426,310433) = 96366474458

(i) The LCM of 310433 and 310426 is associative

LCM of 310426 and 310433 = LCM of 310433 and 310426

1. What is the LCM of 310426 and 310433?

Answer: LCM of 310426 and 310433 is 96366474458.

2. What are the Factors of 310426?

Answer: Factors of 310426 are 1, 2, 269, 538, 577, 1154, 155213, 310426. There are 8 integers that are factors of 310426. The greatest factor of 310426 is 310426.

3. What are the Factors of 310433?

Answer: Factors of 310433 are 1, 310433. There are 2 integers that are factors of 310433. The greatest factor of 310433 is 310433.

4. How to Find the LCM of 310426 and 310433?

Answer:

Least Common Multiple of 310426 and 310433 = 96366474458

Step 1: Find the prime factorization of 310426

310426 = 2 x 269 x 577

Step 2: Find the prime factorization of 310433

310433 = 310433

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

LCM = 96366474458 = 2 x 269 x 577 x 310433

Step 4: Therefore, the least common multiple of 310426 and 310433 is 96366474458.