Least Common Multiple of 307417 and 307425

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

• Least Common Multiple of 307417 and 307425 by Prime method
• Least Common Multiple of 307417 and 307425 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307417 and 307425. First we will calculate the prime factors of 307417 and 307425.

Prime Factorization of 307417

Prime factors of 307417 are 11,27947. Prime factorization of 307417 in exponential form is:

307417 = 11¹×27947¹

Prime Factorization of 307425

Prime factors of 307425 are 3, 5,4099. Prime factorization of 307425 in exponential form is:

307425 = 3¹×5²×4099¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307417 and 307425.

LCM(307417,307425) = 3¹×5²×11¹×4099¹×27947¹
LCM(307417,307425) = 94507671225

Factors of 307417

List of positive integer factors of 307417 that divides 307417 without a remainder.

1, 11, 27947, 307417

Factors of 307425

List of positive integer factors of 307425 that divides 307425 without a remainder.

1, 3, 5, 15, 25, 75, 4099, 12297, 20495, 61485, 102475, 307425

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307417 and 307425, than apply into the LCM equation.

GCF(307417,307425) = 1
LCM(307417,307425) = ( 307417 × 307425) / 1
LCM(307417,307425) = 94507671225 / 1
LCM(307417,307425) = 94507671225

(i) The LCM of 307425 and 307417 is associative

LCM of 307417 and 307425 = LCM of 307425 and 307417

1. What is the LCM of 307417 and 307425?

Answer: LCM of 307417 and 307425 is 94507671225.

2. What are the Factors of 307417?

Answer: Factors of 307417 are 1, 11, 27947, 307417. There are 4 integers that are factors of 307417. The greatest factor of 307417 is 307417.

3. What are the Factors of 307425?

Answer: Factors of 307425 are 1, 3, 5, 15, 25, 75, 4099, 12297, 20495, 61485, 102475, 307425. There are 12 integers that are factors of 307425. The greatest factor of 307425 is 307425.

4. How to Find the LCM of 307417 and 307425?

Answer:

Least Common Multiple of 307417 and 307425 = 94507671225

Step 1: Find the prime factorization of 307417

307417 = 11 x 27947

Step 2: Find the prime factorization of 307425

307425 = 3 x 5 x 5 x 4099

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

LCM = 94507671225 = 3 x 5 x 5 x 11 x 4099 x 27947

Step 4: Therefore, the least common multiple of 307417 and 307425 is 94507671225.