Least Common Multiple of 308428 and 308433

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

• Least Common Multiple of 308428 and 308433 by Prime method
• Least Common Multiple of 308428 and 308433 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 308428 and 308433. First we will calculate the prime factors of 308428 and 308433.

Prime Factorization of 308428

Prime factors of 308428 are 2, 83,929. Prime factorization of 308428 in exponential form is:

308428 = 2²×83¹×929¹

Prime Factorization of 308433

Prime factors of 308433 are 3,102811. Prime factorization of 308433 in exponential form is:

308433 = 3¹×102811¹

Now multiplying the highest exponent prime factors to calculate the LCM of 308428 and 308433.

LCM(308428,308433) = 2²×3¹×83¹×929¹×102811¹
LCM(308428,308433) = 95129373324

Factors of 308428

List of positive integer factors of 308428 that divides 308428 without a remainder.

1, 2, 4, 83, 166, 332, 929, 1858, 3716, 77107, 154214, 308428

Factors of 308433

List of positive integer factors of 308433 that divides 308433 without a remainder.

1, 3, 102811, 308433

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308428 and 308433, than apply into the LCM equation.

GCF(308428,308433) = 1
LCM(308428,308433) = ( 308428 × 308433) / 1
LCM(308428,308433) = 95129373324 / 1
LCM(308428,308433) = 95129373324

(i) The LCM of 308433 and 308428 is associative

LCM of 308428 and 308433 = LCM of 308433 and 308428

1. What is the LCM of 308428 and 308433?

Answer: LCM of 308428 and 308433 is 95129373324.

2. What are the Factors of 308428?

Answer: Factors of 308428 are 1, 2, 4, 83, 166, 332, 929, 1858, 3716, 77107, 154214, 308428. There are 12 integers that are factors of 308428. The greatest factor of 308428 is 308428.

3. What are the Factors of 308433?

Answer: Factors of 308433 are 1, 3, 102811, 308433. There are 4 integers that are factors of 308433. The greatest factor of 308433 is 308433.

4. How to Find the LCM of 308428 and 308433?

Answer:

Least Common Multiple of 308428 and 308433 = 95129373324

Step 1: Find the prime factorization of 308428

308428 = 2 x 2 x 83 x 929

Step 2: Find the prime factorization of 308433

308433 = 3 x 102811

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

LCM = 95129373324 = 2 x 2 x 3 x 83 x 929 x 102811

Step 4: Therefore, the least common multiple of 308428 and 308433 is 95129373324.