Least Common Multiple of 308413 and 308418

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

• Least Common Multiple of 308413 and 308418 by Prime method
• Least Common Multiple of 308413 and 308418 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 308413 and 308418. First we will calculate the prime factors of 308413 and 308418.

Prime Factorization of 308413

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

308413 = 7¹×44059¹

Prime Factorization of 308418

Prime factors of 308418 are 2, 3, 11,4673. Prime factorization of 308418 in exponential form is:

308418 = 2¹×3¹×11¹×4673¹

Now multiplying the highest exponent prime factors to calculate the LCM of 308413 and 308418.

LCM(308413,308418) = 2¹×3¹×7¹×11¹×4673¹×44059¹
LCM(308413,308418) = 95120120634

Factors of 308413

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

1, 7, 44059, 308413

Factors of 308418

List of positive integer factors of 308418 that divides 308418 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 4673, 9346, 14019, 28038, 51403, 102806, 154209, 308418

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308413 and 308418, than apply into the LCM equation.

GCF(308413,308418) = 1
LCM(308413,308418) = ( 308413 × 308418) / 1
LCM(308413,308418) = 95120120634 / 1
LCM(308413,308418) = 95120120634

(i) The LCM of 308418 and 308413 is associative

LCM of 308413 and 308418 = LCM of 308418 and 308413

1. What is the LCM of 308413 and 308418?

Answer: LCM of 308413 and 308418 is 95120120634.

2. 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.

3. What are the Factors of 308418?

Answer: Factors of 308418 are 1, 2, 3, 6, 11, 22, 33, 66, 4673, 9346, 14019, 28038, 51403, 102806, 154209, 308418. There are 16 integers that are factors of 308418. The greatest factor of 308418 is 308418.

4. How to Find the LCM of 308413 and 308418?

Answer:

Least Common Multiple of 308413 and 308418 = 95120120634

Step 1: Find the prime factorization of 308413

308413 = 7 x 44059

Step 2: Find the prime factorization of 308418

308418 = 2 x 3 x 11 x 4673

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

LCM = 95120120634 = 2 x 3 x 7 x 11 x 4673 x 44059

Step 4: Therefore, the least common multiple of 308413 and 308418 is 95120120634.