Least Common Multiple of 307414 and 307415

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

• Least Common Multiple of 307414 and 307415 by Prime method
• Least Common Multiple of 307414 and 307415 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307414 and 307415. First we will calculate the prime factors of 307414 and 307415.

Prime Factorization of 307414

Prime factors of 307414 are 2, 281,547. Prime factorization of 307414 in exponential form is:

307414 = 2¹×281¹×547¹

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 307414 and 307415.

LCM(307414,307415) = 2¹×5¹×281¹×547¹×61483¹
LCM(307414,307415) = 94503674810

Factors of 307414

List of positive integer factors of 307414 that divides 307414 without a remainder.

1, 2, 281, 547, 562, 1094, 153707, 307414

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 307414 and 307415, than apply into the LCM equation.

GCF(307414,307415) = 1
LCM(307414,307415) = ( 307414 × 307415) / 1
LCM(307414,307415) = 94503674810 / 1
LCM(307414,307415) = 94503674810

(i) The LCM of 307415 and 307414 is associative

LCM of 307414 and 307415 = LCM of 307415 and 307414

1. What is the LCM of 307414 and 307415?

Answer: LCM of 307414 and 307415 is 94503674810.

2. What are the Factors of 307414?

Answer: Factors of 307414 are 1, 2, 281, 547, 562, 1094, 153707, 307414. There are 8 integers that are factors of 307414. The greatest factor of 307414 is 307414.

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 307414 and 307415?

Answer:

Least Common Multiple of 307414 and 307415 = 94503674810

Step 1: Find the prime factorization of 307414

307414 = 2 x 281 x 547

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 = 94503674810 = 2 x 5 x 281 x 547 x 61483

Step 4: Therefore, the least common multiple of 307414 and 307415 is 94503674810.