Least Common Multiple of 310417 and 310425

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

• Least Common Multiple of 310417 and 310425 by Prime method
• Least Common Multiple of 310417 and 310425 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310417 and 310425. First we will calculate the prime factors of 310417 and 310425.

Prime Factorization of 310417

Prime factors of 310417 are 43,7219. Prime factorization of 310417 in exponential form is:

310417 = 43¹×7219¹

Prime Factorization of 310425

Prime factors of 310425 are 3, 5,4139. Prime factorization of 310425 in exponential form is:

310425 = 3¹×5²×4139¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310417 and 310425.

LCM(310417,310425) = 3¹×5²×43¹×4139¹×7219¹
LCM(310417,310425) = 96361197225

Factors of 310417

List of positive integer factors of 310417 that divides 310417 without a remainder.

1, 43, 7219, 310417

Factors of 310425

List of positive integer factors of 310425 that divides 310425 without a remainder.

1, 3, 5, 15, 25, 75, 4139, 12417, 20695, 62085, 103475, 310425

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310417 and 310425, than apply into the LCM equation.

GCF(310417,310425) = 1
LCM(310417,310425) = ( 310417 × 310425) / 1
LCM(310417,310425) = 96361197225 / 1
LCM(310417,310425) = 96361197225

(i) The LCM of 310425 and 310417 is associative

LCM of 310417 and 310425 = LCM of 310425 and 310417

1. What is the LCM of 310417 and 310425?

Answer: LCM of 310417 and 310425 is 96361197225.

2. What are the Factors of 310417?

Answer: Factors of 310417 are 1, 43, 7219, 310417. There are 4 integers that are factors of 310417. The greatest factor of 310417 is 310417.

3. What are the Factors of 310425?

Answer: Factors of 310425 are 1, 3, 5, 15, 25, 75, 4139, 12417, 20695, 62085, 103475, 310425. There are 12 integers that are factors of 310425. The greatest factor of 310425 is 310425.

4. How to Find the LCM of 310417 and 310425?

Answer:

Least Common Multiple of 310417 and 310425 = 96361197225

Step 1: Find the prime factorization of 310417

310417 = 43 x 7219

Step 2: Find the prime factorization of 310425

310425 = 3 x 5 x 5 x 4139

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

LCM = 96361197225 = 3 x 5 x 5 x 43 x 4139 x 7219

Step 4: Therefore, the least common multiple of 310417 and 310425 is 96361197225.