Least Common Multiple of 13444 and 13448

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 13448 the smallest integer that is 45198728 that is divisible by both numbers.

Least Common Multiple (LCM) of 13444 and 13448 is 45198728.

LCM(13444,13448) = 45198728

LCM of 13444 and 13448

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

LCM of:
and

Least Common Multiple of 13444 and 13448

LCM of 13444 and 13448 is 45198728

Least common multiple can be found by multiplying the highest exponent prime factors of 13444 and 13448. First we will calculate the prime factors of 13444 and 13448.

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 13448


2 13448
2 6724
2 3362
41 1681
41 41
1

Prime factors of 13448 are 2,41. Prime factorization of 13448 in exponential form is:

13448 = 23×412

Now multiplying the highest exponent prime factors to calculate the LCM of 13444 and 13448.

LCM(13444,13448) = 23×412×33611
LCM(13444,13448) = 45198728

Factors of 13444

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

1, 2, 4, 3361, 6722, 13444

Factors of 13448

List of positive integer factors of 13448 that divides 13448 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328, 1681, 3362, 6724, 13448

Least Common Multiple of 13444 and 13448 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 13448, than apply into the LCM equation.

GCF(13444,13448) = 4
LCM(13444,13448) = ( 13444 × 13448) / 4
LCM(13444,13448) = 180794912 / 4
LCM(13444,13448) = 45198728

Properties of LCM 13444 and 13448

(i) The LCM of 13448 and 13444 is associative

LCM of 13444 and 13448 = LCM of 13448 and 13444

Related Least Common Multiples of 13444

Related Least Common Multiples of 13448

Frequently Asked Questions on LCM of 13444 and 13448

1. What is the LCM of 13444 and 13448?

Answer: LCM of 13444 and 13448 is 45198728.

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 13448?

Answer: Factors of 13448 are 1, 2, 4, 8, 41, 82, 164, 328, 1681, 3362, 6724, 13448. There are 12 integers that are factors of 13448. The greatest factor of 13448 is 13448.

4. How to Find the LCM of 13444 and 13448?

Answer:

Least Common Multiple of 13444 and 13448 = 45198728

Step 1: Find the prime factorization of 13444

13444 = 2 x 2 x 3361

Step 2: Find the prime factorization of 13448

13448 = 2 x 2 x 2 x 41 x 41

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

LCM = 45198728 = 2 x 2 x 2 x 41 x 41 x 3361

Step 4: Therefore, the least common multiple of 13444 and 13448 is 45198728.