Least Common Multiple of 13444 and 13449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13444 and 13449 the smallest integer that is 180808356 that is divisible by both numbers.

Least Common Multiple (LCM) of 13444 and 13449 is 180808356.

LCM(13444,13449) = 180808356

LCM of 13444 and 13449

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

LCM of:
and

Least Common Multiple of 13444 and 13449

LCM of 13444 and 13449 is 180808356

Least common multiple can be found by multiplying the highest exponent prime factors of 13444 and 13449. First we will calculate the prime factors of 13444 and 13449.

Prime Factorization of 13444


2 13444
2 6722
3361 3361
1

Prime factors of 13444 are 2,3361. Prime factorization of 13444 in exponential form is:

13444 = 22×33611

Prime Factorization of 13449


3 13449
4483 4483
1

Prime factors of 13449 are 3,4483. Prime factorization of 13449 in exponential form is:

13449 = 31×44831

Now multiplying the highest exponent prime factors to calculate the LCM of 13444 and 13449.

LCM(13444,13449) = 22×31×33611×44831
LCM(13444,13449) = 180808356

Factors of 13444

List of positive integer factors of 13444 that divides 13444 without a remainder.

1, 2, 4, 3361, 6722, 13444

Factors of 13449

List of positive integer factors of 13449 that divides 13449 without a remainder.

1, 3, 4483, 13449

Least Common Multiple of 13444 and 13449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13444 and 13449, than apply into the LCM equation.

GCF(13444,13449) = 1
LCM(13444,13449) = ( 13444 × 13449) / 1
LCM(13444,13449) = 180808356 / 1
LCM(13444,13449) = 180808356

Properties of LCM 13444 and 13449

(i) The LCM of 13449 and 13444 is associative

LCM of 13444 and 13449 = LCM of 13449 and 13444

Related Least Common Multiples of 13444

Related Least Common Multiples of 13449

Frequently Asked Questions on LCM of 13444 and 13449

1. What is the LCM of 13444 and 13449?

Answer: LCM of 13444 and 13449 is 180808356.

2. What are the Factors of 13444?

Answer: Factors of 13444 are 1, 2, 4, 3361, 6722, 13444. There are 6 integers that are factors of 13444. The greatest factor of 13444 is 13444.

3. What are the Factors of 13449?

Answer: Factors of 13449 are 1, 3, 4483, 13449. There are 4 integers that are factors of 13449. The greatest factor of 13449 is 13449.

4. How to Find the LCM of 13444 and 13449?

Answer:

Least Common Multiple of 13444 and 13449 = 180808356

Step 1: Find the prime factorization of 13444

13444 = 2 x 2 x 3361

Step 2: Find the prime factorization of 13449

13449 = 3 x 4483

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

LCM = 180808356 = 2 x 2 x 3 x 3361 x 4483

Step 4: Therefore, the least common multiple of 13444 and 13449 is 180808356.