Least Common Multiple of 25263 and 25271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 25263 and 25271 the smallest integer that is 638421273 that is divisible by both numbers.

Least Common Multiple (LCM) of 25263 and 25271 is 638421273.

LCM(25263,25271) = 638421273

LCM of 25263 and 25271

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

LCM of:
and

Least Common Multiple of 25263 and 25271

LCM of 25263 and 25271 is 638421273

Least common multiple can be found by multiplying the highest exponent prime factors of 25263 and 25271. First we will calculate the prime factors of 25263 and 25271.

Prime Factorization of 25263


3 25263
3 8421
7 2807
401 401
1

Prime factors of 25263 are 3, 7,401. Prime factorization of 25263 in exponential form is:

25263 = 32×71×4011

Prime Factorization of 25271


37 25271
683 683
1

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

25271 = 371×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 25263 and 25271.

LCM(25263,25271) = 32×71×371×4011×6831
LCM(25263,25271) = 638421273

Factors of 25263

List of positive integer factors of 25263 that divides 25263 without a remainder.

1, 3, 7, 9, 21, 63, 401, 1203, 2807, 3609, 8421, 25263

Factors of 25271

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

1, 37, 683, 25271

Least Common Multiple of 25263 and 25271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25263 and 25271, than apply into the LCM equation.

GCF(25263,25271) = 1
LCM(25263,25271) = ( 25263 × 25271) / 1
LCM(25263,25271) = 638421273 / 1
LCM(25263,25271) = 638421273

Properties of LCM 25263 and 25271

(i) The LCM of 25271 and 25263 is associative

LCM of 25263 and 25271 = LCM of 25271 and 25263

Related Least Common Multiples of 25263

Related Least Common Multiples of 25271

Frequently Asked Questions on LCM of 25263 and 25271

1. What is the LCM of 25263 and 25271?

Answer: LCM of 25263 and 25271 is 638421273.

2. What are the Factors of 25263?

Answer: Factors of 25263 are 1, 3, 7, 9, 21, 63, 401, 1203, 2807, 3609, 8421, 25263. There are 12 integers that are factors of 25263. The greatest factor of 25263 is 25263.

3. 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.

4. How to Find the LCM of 25263 and 25271?

Answer:

Least Common Multiple of 25263 and 25271 = 638421273

Step 1: Find the prime factorization of 25263

25263 = 3 x 3 x 7 x 401

Step 2: Find the prime factorization of 25271

25271 = 37 x 683

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

LCM = 638421273 = 3 x 3 x 7 x 37 x 401 x 683

Step 4: Therefore, the least common multiple of 25263 and 25271 is 638421273.