Least Common Multiple of 308407 and 308413

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

• Least Common Multiple of 308407 and 308413 by Prime method
• Least Common Multiple of 308407 and 308413 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 308407 and 308413. First we will calculate the prime factors of 308407 and 308413.

Prime Factorization of 308407

Prime factors of 308407 are 11, 23,53. Prime factorization of 308407 in exponential form is:

308407 = 11¹×23²×53¹

Prime Factorization of 308413

Prime factors of 308413 are 7,44059. Prime factorization of 308413 in exponential form is:

308413 = 7¹×44059¹

Now multiplying the highest exponent prime factors to calculate the LCM of 308407 and 308413.

LCM(308407,308413) = 7¹×11¹×23²×53¹×44059¹
LCM(308407,308413) = 95116728091

Factors of 308407

List of positive integer factors of 308407 that divides 308407 without a remainder.

1, 11, 23, 53, 253, 529, 583, 1219, 5819, 13409, 28037, 308407

Factors of 308413

List of positive integer factors of 308413 that divides 308413 without a remainder.

1, 7, 44059, 308413

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308407 and 308413, than apply into the LCM equation.

GCF(308407,308413) = 1
LCM(308407,308413) = ( 308407 × 308413) / 1
LCM(308407,308413) = 95116728091 / 1
LCM(308407,308413) = 95116728091

(i) The LCM of 308413 and 308407 is associative

LCM of 308407 and 308413 = LCM of 308413 and 308407

1. What is the LCM of 308407 and 308413?

Answer: LCM of 308407 and 308413 is 95116728091.

2. What are the Factors of 308407?

Answer: Factors of 308407 are 1, 11, 23, 53, 253, 529, 583, 1219, 5819, 13409, 28037, 308407. There are 12 integers that are factors of 308407. The greatest factor of 308407 is 308407.

3. What are the Factors of 308413?

Answer: Factors of 308413 are 1, 7, 44059, 308413. There are 4 integers that are factors of 308413. The greatest factor of 308413 is 308413.

4. How to Find the LCM of 308407 and 308413?

Answer:

Least Common Multiple of 308407 and 308413 = 95116728091

Step 1: Find the prime factorization of 308407

308407 = 11 x 23 x 23 x 53

Step 2: Find the prime factorization of 308413

308413 = 7 x 44059

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

LCM = 95116728091 = 7 x 11 x 23 x 23 x 53 x 44059

Step 4: Therefore, the least common multiple of 308407 and 308413 is 95116728091.