Least Common Multiple of 306406 and 306413

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

• Least Common Multiple of 306406 and 306413 by Prime method
• Least Common Multiple of 306406 and 306413 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306406 and 306413. First we will calculate the prime factors of 306406 and 306413.

Prime Factorization of 306406

Prime factors of 306406 are 2, 23,6661. Prime factorization of 306406 in exponential form is:

306406 = 2¹×23¹×6661¹

Prime Factorization of 306413

Prime factors of 306413 are 19,16127. Prime factorization of 306413 in exponential form is:

306413 = 19¹×16127¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306406 and 306413.

LCM(306406,306413) = 2¹×19¹×23¹×6661¹×16127¹
LCM(306406,306413) = 93886781678

Factors of 306406

List of positive integer factors of 306406 that divides 306406 without a remainder.

1, 2, 23, 46, 6661, 13322, 153203, 306406

Factors of 306413

List of positive integer factors of 306413 that divides 306413 without a remainder.

1, 19, 16127, 306413

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306406 and 306413, than apply into the LCM equation.

GCF(306406,306413) = 1
LCM(306406,306413) = ( 306406 × 306413) / 1
LCM(306406,306413) = 93886781678 / 1
LCM(306406,306413) = 93886781678

(i) The LCM of 306413 and 306406 is associative

LCM of 306406 and 306413 = LCM of 306413 and 306406

1. What is the LCM of 306406 and 306413?

Answer: LCM of 306406 and 306413 is 93886781678.

2. What are the Factors of 306406?

Answer: Factors of 306406 are 1, 2, 23, 46, 6661, 13322, 153203, 306406. There are 8 integers that are factors of 306406. The greatest factor of 306406 is 306406.

3. What are the Factors of 306413?

Answer: Factors of 306413 are 1, 19, 16127, 306413. There are 4 integers that are factors of 306413. The greatest factor of 306413 is 306413.

4. How to Find the LCM of 306406 and 306413?

Answer:

Least Common Multiple of 306406 and 306413 = 93886781678

Step 1: Find the prime factorization of 306406

306406 = 2 x 23 x 6661

Step 2: Find the prime factorization of 306413

306413 = 19 x 16127

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

LCM = 93886781678 = 2 x 19 x 23 x 6661 x 16127

Step 4: Therefore, the least common multiple of 306406 and 306413 is 93886781678.