Least Common Multiple of 25263 and 25268

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 25268 the smallest integer that is 638345484 that is divisible by both numbers.

Least Common Multiple (LCM) of 25263 and 25268 is 638345484.

LCM(25263,25268) = 638345484

LCM of 25263 and 25268

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

LCM of:
and

Least Common Multiple of 25263 and 25268

LCM of 25263 and 25268 is 638345484

Least common multiple can be found by multiplying the highest exponent prime factors of 25263 and 25268. First we will calculate the prime factors of 25263 and 25268.

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 25268


2 25268
2 12634
6317 6317
1

Prime factors of 25268 are 2,6317. Prime factorization of 25268 in exponential form is:

25268 = 22×63171

Now multiplying the highest exponent prime factors to calculate the LCM of 25263 and 25268.

LCM(25263,25268) = 22×32×71×4011×63171
LCM(25263,25268) = 638345484

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 25268

List of positive integer factors of 25268 that divides 25268 without a remainder.

1, 2, 4, 6317, 12634, 25268

Least Common Multiple of 25263 and 25268 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 25268, than apply into the LCM equation.

GCF(25263,25268) = 1
LCM(25263,25268) = ( 25263 × 25268) / 1
LCM(25263,25268) = 638345484 / 1
LCM(25263,25268) = 638345484

Properties of LCM 25263 and 25268

(i) The LCM of 25268 and 25263 is associative

LCM of 25263 and 25268 = LCM of 25268 and 25263

Related Least Common Multiples of 25263

Related Least Common Multiples of 25268

Frequently Asked Questions on LCM of 25263 and 25268

1. What is the LCM of 25263 and 25268?

Answer: LCM of 25263 and 25268 is 638345484.

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 25268?

Answer: Factors of 25268 are 1, 2, 4, 6317, 12634, 25268. There are 6 integers that are factors of 25268. The greatest factor of 25268 is 25268.

4. How to Find the LCM of 25263 and 25268?

Answer:

Least Common Multiple of 25263 and 25268 = 638345484

Step 1: Find the prime factorization of 25263

25263 = 3 x 3 x 7 x 401

Step 2: Find the prime factorization of 25268

25268 = 2 x 2 x 6317

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

LCM = 638345484 = 2 x 2 x 3 x 3 x 7 x 401 x 6317

Step 4: Therefore, the least common multiple of 25263 and 25268 is 638345484.