Least Common Multiple of 12444 and 12449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12444 and 12449 the smallest integer that is 154915356 that is divisible by both numbers.

Least Common Multiple (LCM) of 12444 and 12449 is 154915356.

LCM(12444,12449) = 154915356

LCM of 12444 and 12449

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

LCM of:
and

Least Common Multiple of 12444 and 12449

LCM of 12444 and 12449 is 154915356

Least common multiple can be found by multiplying the highest exponent prime factors of 12444 and 12449. First we will calculate the prime factors of 12444 and 12449.

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

Prime Factorization of 12449


59 12449
211 211
1

Prime factors of 12449 are 59,211. Prime factorization of 12449 in exponential form is:

12449 = 591×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 12444 and 12449.

LCM(12444,12449) = 22×31×171×591×611×2111
LCM(12444,12449) = 154915356

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

Factors of 12449

List of positive integer factors of 12449 that divides 12449 without a remainder.

1, 59, 211, 12449

Least Common Multiple of 12444 and 12449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12444 and 12449, than apply into the LCM equation.

GCF(12444,12449) = 1
LCM(12444,12449) = ( 12444 × 12449) / 1
LCM(12444,12449) = 154915356 / 1
LCM(12444,12449) = 154915356

Properties of LCM 12444 and 12449

(i) The LCM of 12449 and 12444 is associative

LCM of 12444 and 12449 = LCM of 12449 and 12444

Related Least Common Multiples of 12444

Related Least Common Multiples of 12449

Frequently Asked Questions on LCM of 12444 and 12449

1. What is the LCM of 12444 and 12449?

Answer: LCM of 12444 and 12449 is 154915356.

2. 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.

3. What are the Factors of 12449?

Answer: Factors of 12449 are 1, 59, 211, 12449. There are 4 integers that are factors of 12449. The greatest factor of 12449 is 12449.

4. How to Find the LCM of 12444 and 12449?

Answer:

Least Common Multiple of 12444 and 12449 = 154915356

Step 1: Find the prime factorization of 12444

12444 = 2 x 2 x 3 x 17 x 61

Step 2: Find the prime factorization of 12449

12449 = 59 x 211

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

LCM = 154915356 = 2 x 2 x 3 x 17 x 59 x 61 x 211

Step 4: Therefore, the least common multiple of 12444 and 12449 is 154915356.