Least Common Multiple of 307411 and 307418

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

• Least Common Multiple of 307411 and 307418 by Prime method
• Least Common Multiple of 307411 and 307418 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307411 and 307418. First we will calculate the prime factors of 307411 and 307418.

Prime Factorization of 307411

Prime factors of 307411 are 13, 17,107. Prime factorization of 307411 in exponential form is:

307411 = 13²×17¹×107¹

Prime Factorization of 307418

Prime factors of 307418 are 2, 23, 41,163. Prime factorization of 307418 in exponential form is:

307418 = 2¹×23¹×41¹×163¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307411 and 307418.

LCM(307411,307418) = 2¹×13²×17¹×23¹×41¹×107¹×163¹
LCM(307411,307418) = 94503674798

Factors of 307411

List of positive integer factors of 307411 that divides 307411 without a remainder.

1, 13, 17, 107, 169, 221, 1391, 1819, 2873, 18083, 23647, 307411

Factors of 307418

List of positive integer factors of 307418 that divides 307418 without a remainder.

1, 2, 23, 41, 46, 82, 163, 326, 943, 1886, 3749, 6683, 7498, 13366, 153709, 307418

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307411 and 307418, than apply into the LCM equation.

GCF(307411,307418) = 1
LCM(307411,307418) = ( 307411 × 307418) / 1
LCM(307411,307418) = 94503674798 / 1
LCM(307411,307418) = 94503674798

(i) The LCM of 307418 and 307411 is associative

LCM of 307411 and 307418 = LCM of 307418 and 307411

1. What is the LCM of 307411 and 307418?

Answer: LCM of 307411 and 307418 is 94503674798.

2. What are the Factors of 307411?

Answer: Factors of 307411 are 1, 13, 17, 107, 169, 221, 1391, 1819, 2873, 18083, 23647, 307411. There are 12 integers that are factors of 307411. The greatest factor of 307411 is 307411.

3. What are the Factors of 307418?

Answer: Factors of 307418 are 1, 2, 23, 41, 46, 82, 163, 326, 943, 1886, 3749, 6683, 7498, 13366, 153709, 307418. There are 16 integers that are factors of 307418. The greatest factor of 307418 is 307418.

4. How to Find the LCM of 307411 and 307418?

Answer:

Least Common Multiple of 307411 and 307418 = 94503674798

Step 1: Find the prime factorization of 307411

307411 = 13 x 13 x 17 x 107

Step 2: Find the prime factorization of 307418

307418 = 2 x 23 x 41 x 163

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

LCM = 94503674798 = 2 x 13 x 13 x 17 x 23 x 41 x 107 x 163

Step 4: Therefore, the least common multiple of 307411 and 307418 is 94503674798.