Least Common Multiple of 306428 and 306433

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

• Least Common Multiple of 306428 and 306433 by Prime method
• Least Common Multiple of 306428 and 306433 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306428 and 306433. First we will calculate the prime factors of 306428 and 306433.

Prime Factorization of 306428

Prime factors of 306428 are 2,76607. Prime factorization of 306428 in exponential form is:

306428 = 2²×76607¹

Prime Factorization of 306433

Prime factors of 306433 are 181,1693. Prime factorization of 306433 in exponential form is:

306433 = 181¹×1693¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306428 and 306433.

LCM(306428,306433) = 2²×181¹×1693¹×76607¹
LCM(306428,306433) = 93899651324

Factors of 306428

List of positive integer factors of 306428 that divides 306428 without a remainder.

1, 2, 4, 76607, 153214, 306428

Factors of 306433

List of positive integer factors of 306433 that divides 306433 without a remainder.

1, 181, 1693, 306433

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306428 and 306433, than apply into the LCM equation.

GCF(306428,306433) = 1
LCM(306428,306433) = ( 306428 × 306433) / 1
LCM(306428,306433) = 93899651324 / 1
LCM(306428,306433) = 93899651324

(i) The LCM of 306433 and 306428 is associative

LCM of 306428 and 306433 = LCM of 306433 and 306428

1. What is the LCM of 306428 and 306433?

Answer: LCM of 306428 and 306433 is 93899651324.

2. What are the Factors of 306428?

Answer: Factors of 306428 are 1, 2, 4, 76607, 153214, 306428. There are 6 integers that are factors of 306428. The greatest factor of 306428 is 306428.

3. What are the Factors of 306433?

Answer: Factors of 306433 are 1, 181, 1693, 306433. There are 4 integers that are factors of 306433. The greatest factor of 306433 is 306433.

4. How to Find the LCM of 306428 and 306433?

Answer:

Least Common Multiple of 306428 and 306433 = 93899651324

Step 1: Find the prime factorization of 306428

306428 = 2 x 2 x 76607

Step 2: Find the prime factorization of 306433

306433 = 181 x 1693

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

LCM = 93899651324 = 2 x 2 x 181 x 1693 x 76607

Step 4: Therefore, the least common multiple of 306428 and 306433 is 93899651324.