Least Common Multiple of 307425 and 307433

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

• Least Common Multiple of 307425 and 307433 by Prime method
• Least Common Multiple of 307425 and 307433 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307425 and 307433. First we will calculate the prime factors of 307425 and 307433.

Prime Factorization of 307425

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

307425 = 3¹×5²×4099¹

Prime Factorization of 307433

Prime factors of 307433 are 7, 37,1187. Prime factorization of 307433 in exponential form is:

307433 = 7¹×37¹×1187¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307425 and 307433.

LCM(307425,307433) = 3¹×5²×7¹×37¹×1187¹×4099¹
LCM(307425,307433) = 94512590025

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

Factors of 307433

List of positive integer factors of 307433 that divides 307433 without a remainder.

1, 7, 37, 259, 1187, 8309, 43919, 307433

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307425 and 307433, than apply into the LCM equation.

GCF(307425,307433) = 1
LCM(307425,307433) = ( 307425 × 307433) / 1
LCM(307425,307433) = 94512590025 / 1
LCM(307425,307433) = 94512590025

(i) The LCM of 307433 and 307425 is associative

LCM of 307425 and 307433 = LCM of 307433 and 307425

1. What is the LCM of 307425 and 307433?

Answer: LCM of 307425 and 307433 is 94512590025.

2. 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.

3. What are the Factors of 307433?

Answer: Factors of 307433 are 1, 7, 37, 259, 1187, 8309, 43919, 307433. There are 8 integers that are factors of 307433. The greatest factor of 307433 is 307433.

4. How to Find the LCM of 307425 and 307433?

Answer:

Least Common Multiple of 307425 and 307433 = 94512590025

Step 1: Find the prime factorization of 307425

307425 = 3 x 5 x 5 x 4099

Step 2: Find the prime factorization of 307433

307433 = 7 x 37 x 1187

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

LCM = 94512590025 = 3 x 5 x 5 x 7 x 37 x 1187 x 4099

Step 4: Therefore, the least common multiple of 307425 and 307433 is 94512590025.