Least Common Multiple of 12436 and 12444

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 12444 the smallest integer that is 38688396 that is divisible by both numbers.

Least Common Multiple (LCM) of 12436 and 12444 is 38688396.

LCM(12436,12444) = 38688396

LCM of 12436 and 12444

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

LCM of:
and

Least Common Multiple of 12436 and 12444

LCM of 12436 and 12444 is 38688396

Least common multiple can be found by multiplying the highest exponent prime factors of 12436 and 12444. First we will calculate the prime factors of 12436 and 12444.

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 12444


2 12444
2 6222
3 3111
17 1037
61 61
1

Prime factors of 12444 are 2, 3, 17,61. Prime factorization of 12444 in exponential form is:

12444 = 22×31×171×611

Now multiplying the highest exponent prime factors to calculate the LCM of 12436 and 12444.

LCM(12436,12444) = 22×31×171×611×31091
LCM(12436,12444) = 38688396

Factors of 12436

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

1, 2, 4, 3109, 6218, 12436

Factors of 12444

List of positive integer factors of 12444 that divides 12444 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 61, 68, 102, 122, 183, 204, 244, 366, 732, 1037, 2074, 3111, 4148, 6222, 12444

Least Common Multiple of 12436 and 12444 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 12444, than apply into the LCM equation.

GCF(12436,12444) = 4
LCM(12436,12444) = ( 12436 × 12444) / 4
LCM(12436,12444) = 154753584 / 4
LCM(12436,12444) = 38688396

Properties of LCM 12436 and 12444

(i) The LCM of 12444 and 12436 is associative

LCM of 12436 and 12444 = LCM of 12444 and 12436

Related Least Common Multiples of 12436

Related Least Common Multiples of 12444

Frequently Asked Questions on LCM of 12436 and 12444

1. What is the LCM of 12436 and 12444?

Answer: LCM of 12436 and 12444 is 38688396.

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 12444?

Answer: Factors of 12444 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 61, 68, 102, 122, 183, 204, 244, 366, 732, 1037, 2074, 3111, 4148, 6222, 12444. There are 24 integers that are factors of 12444. The greatest factor of 12444 is 12444.

4. How to Find the LCM of 12436 and 12444?

Answer:

Least Common Multiple of 12436 and 12444 = 38688396

Step 1: Find the prime factorization of 12436

12436 = 2 x 2 x 3109

Step 2: Find the prime factorization of 12444

12444 = 2 x 2 x 3 x 17 x 61

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

LCM = 38688396 = 2 x 2 x 3 x 17 x 61 x 3109

Step 4: Therefore, the least common multiple of 12436 and 12444 is 38688396.