Least Common Multiple of 25263 and 25269

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 25269 the smallest integer that is 212790249 that is divisible by both numbers.

Least Common Multiple (LCM) of 25263 and 25269 is 212790249.

LCM(25263,25269) = 212790249

LCM of 25263 and 25269

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

LCM of:
and

Least Common Multiple of 25263 and 25269

LCM of 25263 and 25269 is 212790249

Least common multiple can be found by multiplying the highest exponent prime factors of 25263 and 25269. First we will calculate the prime factors of 25263 and 25269.

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 25269


3 25269
8423 8423
1

Prime factors of 25269 are 3,8423. Prime factorization of 25269 in exponential form is:

25269 = 31×84231

Now multiplying the highest exponent prime factors to calculate the LCM of 25263 and 25269.

LCM(25263,25269) = 32×71×4011×84231
LCM(25263,25269) = 212790249

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 25269

List of positive integer factors of 25269 that divides 25269 without a remainder.

1, 3, 8423, 25269

Least Common Multiple of 25263 and 25269 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 25269, than apply into the LCM equation.

GCF(25263,25269) = 3
LCM(25263,25269) = ( 25263 × 25269) / 3
LCM(25263,25269) = 638370747 / 3
LCM(25263,25269) = 212790249

Properties of LCM 25263 and 25269

(i) The LCM of 25269 and 25263 is associative

LCM of 25263 and 25269 = LCM of 25269 and 25263

Related Least Common Multiples of 25263

Related Least Common Multiples of 25269

Frequently Asked Questions on LCM of 25263 and 25269

1. What is the LCM of 25263 and 25269?

Answer: LCM of 25263 and 25269 is 212790249.

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 25269?

Answer: Factors of 25269 are 1, 3, 8423, 25269. There are 4 integers that are factors of 25269. The greatest factor of 25269 is 25269.

4. How to Find the LCM of 25263 and 25269?

Answer:

Least Common Multiple of 25263 and 25269 = 212790249

Step 1: Find the prime factorization of 25263

25263 = 3 x 3 x 7 x 401

Step 2: Find the prime factorization of 25269

25269 = 3 x 8423

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

LCM = 212790249 = 3 x 3 x 7 x 401 x 8423

Step 4: Therefore, the least common multiple of 25263 and 25269 is 212790249.