Least Common Multiple of 25271 and 25275

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

• Least Common Multiple of 25271 and 25275 by Prime method
• Least Common Multiple of 25271 and 25275 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 25271 and 25275. First we will calculate the prime factors of 25271 and 25275.

Prime Factorization of 25271

Prime factors of 25271 are 37,683. Prime factorization of 25271 in exponential form is:

25271 = 37¹×683¹

Prime Factorization of 25275

Prime factors of 25275 are 3, 5,337. Prime factorization of 25275 in exponential form is:

25275 = 3¹×5²×337¹

Now multiplying the highest exponent prime factors to calculate the LCM of 25271 and 25275.

LCM(25271,25275) = 3¹×5²×37¹×337¹×683¹
LCM(25271,25275) = 638724525

Factors of 25271

List of positive integer factors of 25271 that divides 25271 without a remainder.

1, 37, 683, 25271

Factors of 25275

List of positive integer factors of 25275 that divides 25275 without a remainder.

1, 3, 5, 15, 25, 75, 337, 1011, 1685, 5055, 8425, 25275

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25271 and 25275, than apply into the LCM equation.

GCF(25271,25275) = 1
LCM(25271,25275) = ( 25271 × 25275) / 1
LCM(25271,25275) = 638724525 / 1
LCM(25271,25275) = 638724525

(i) The LCM of 25275 and 25271 is associative

LCM of 25271 and 25275 = LCM of 25275 and 25271

1. What is the LCM of 25271 and 25275?

Answer: LCM of 25271 and 25275 is 638724525.

2. What are the Factors of 25271?

Answer: Factors of 25271 are 1, 37, 683, 25271. There are 4 integers that are factors of 25271. The greatest factor of 25271 is 25271.

3. What are the Factors of 25275?

Answer: Factors of 25275 are 1, 3, 5, 15, 25, 75, 337, 1011, 1685, 5055, 8425, 25275. There are 12 integers that are factors of 25275. The greatest factor of 25275 is 25275.

4. How to Find the LCM of 25271 and 25275?

Answer:

Least Common Multiple of 25271 and 25275 = 638724525

Step 1: Find the prime factorization of 25271

25271 = 37 x 683

Step 2: Find the prime factorization of 25275

25275 = 3 x 5 x 5 x 337

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

LCM = 638724525 = 3 x 5 x 5 x 37 x 337 x 683

Step 4: Therefore, the least common multiple of 25271 and 25275 is 638724525.