Least Common Multiple of 307411 and 307415

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

• Least Common Multiple of 307411 and 307415 by Prime method
• Least Common Multiple of 307411 and 307415 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307411 and 307415. First we will calculate the prime factors of 307411 and 307415.

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 307415

Prime factors of 307415 are 5,61483. Prime factorization of 307415 in exponential form is:

307415 = 5¹×61483¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307411 and 307415.

LCM(307411,307415) = 5¹×13²×17¹×107¹×61483¹
LCM(307411,307415) = 94502752565

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 307415

List of positive integer factors of 307415 that divides 307415 without a remainder.

1, 5, 61483, 307415

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307411 and 307415, than apply into the LCM equation.

GCF(307411,307415) = 1
LCM(307411,307415) = ( 307411 × 307415) / 1
LCM(307411,307415) = 94502752565 / 1
LCM(307411,307415) = 94502752565

(i) The LCM of 307415 and 307411 is associative

LCM of 307411 and 307415 = LCM of 307415 and 307411

1. What is the LCM of 307411 and 307415?

Answer: LCM of 307411 and 307415 is 94502752565.

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 307415?

Answer: Factors of 307415 are 1, 5, 61483, 307415. There are 4 integers that are factors of 307415. The greatest factor of 307415 is 307415.

4. How to Find the LCM of 307411 and 307415?

Answer:

Least Common Multiple of 307411 and 307415 = 94502752565

Step 1: Find the prime factorization of 307411

307411 = 13 x 13 x 17 x 107

Step 2: Find the prime factorization of 307415

307415 = 5 x 61483

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

LCM = 94502752565 = 5 x 13 x 13 x 17 x 107 x 61483

Step 4: Therefore, the least common multiple of 307411 and 307415 is 94502752565.