Least Common Multiple of 12436 and 12441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12436 and 12441 the smallest integer that is 154716276 that is divisible by both numbers.

Least Common Multiple (LCM) of 12436 and 12441 is 154716276.

LCM(12436,12441) = 154716276

LCM of 12436 and 12441

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

LCM of:
and

Least Common Multiple of 12436 and 12441

LCM of 12436 and 12441 is 154716276

Least common multiple can be found by multiplying the highest exponent prime factors of 12436 and 12441. First we will calculate the prime factors of 12436 and 12441.

Prime Factorization of 12436


2 12436
2 6218
3109 3109
1

Prime factors of 12436 are 2,3109. Prime factorization of 12436 in exponential form is:

12436 = 22×31091

Prime Factorization of 12441


3 12441
11 4147
13 377
29 29
1

Prime factors of 12441 are 3, 11, 13,29. Prime factorization of 12441 in exponential form is:

12441 = 31×111×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 12436 and 12441.

LCM(12436,12441) = 22×31×111×131×291×31091
LCM(12436,12441) = 154716276

Factors of 12436

List of positive integer factors of 12436 that divides 12436 without a remainder.

1, 2, 4, 3109, 6218, 12436

Factors of 12441

List of positive integer factors of 12441 that divides 12441 without a remainder.

1, 3, 11, 13, 29, 33, 39, 87, 143, 319, 377, 429, 957, 1131, 4147, 12441

Least Common Multiple of 12436 and 12441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12436 and 12441, than apply into the LCM equation.

GCF(12436,12441) = 1
LCM(12436,12441) = ( 12436 × 12441) / 1
LCM(12436,12441) = 154716276 / 1
LCM(12436,12441) = 154716276

Properties of LCM 12436 and 12441

(i) The LCM of 12441 and 12436 is associative

LCM of 12436 and 12441 = LCM of 12441 and 12436

Related Least Common Multiples of 12436

Related Least Common Multiples of 12441

Frequently Asked Questions on LCM of 12436 and 12441

1. What is the LCM of 12436 and 12441?

Answer: LCM of 12436 and 12441 is 154716276.

2. What are the Factors of 12436?

Answer: Factors of 12436 are 1, 2, 4, 3109, 6218, 12436. There are 6 integers that are factors of 12436. The greatest factor of 12436 is 12436.

3. What are the Factors of 12441?

Answer: Factors of 12441 are 1, 3, 11, 13, 29, 33, 39, 87, 143, 319, 377, 429, 957, 1131, 4147, 12441. There are 16 integers that are factors of 12441. The greatest factor of 12441 is 12441.

4. How to Find the LCM of 12436 and 12441?

Answer:

Least Common Multiple of 12436 and 12441 = 154716276

Step 1: Find the prime factorization of 12436

12436 = 2 x 2 x 3109

Step 2: Find the prime factorization of 12441

12441 = 3 x 11 x 13 x 29

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

LCM = 154716276 = 2 x 2 x 3 x 11 x 13 x 29 x 3109

Step 4: Therefore, the least common multiple of 12436 and 12441 is 154716276.