Least Common Multiple of 5444 and 5448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5444 and 5448 the smallest integer that is 7414728 that is divisible by both numbers.

Least Common Multiple (LCM) of 5444 and 5448 is 7414728.

LCM(5444,5448) = 7414728

LCM of 5444 and 5448

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

LCM of:
and

Least Common Multiple of 5444 and 5448

LCM of 5444 and 5448 is 7414728

Least common multiple can be found by multiplying the highest exponent prime factors of 5444 and 5448. First we will calculate the prime factors of 5444 and 5448.

Prime Factorization of 5444


2 5444
2 2722
1361 1361
1

Prime factors of 5444 are 2,1361. Prime factorization of 5444 in exponential form is:

5444 = 22×13611

Prime Factorization of 5448


2 5448
2 2724
2 1362
3 681
227 227
1

Prime factors of 5448 are 2, 3,227. Prime factorization of 5448 in exponential form is:

5448 = 23×31×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 5444 and 5448.

LCM(5444,5448) = 23×31×2271×13611
LCM(5444,5448) = 7414728

Factors of 5444

List of positive integer factors of 5444 that divides 5444 without a remainder.

1, 2, 4, 1361, 2722, 5444

Factors of 5448

List of positive integer factors of 5448 that divides 5448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 227, 454, 681, 908, 1362, 1816, 2724, 5448

Least Common Multiple of 5444 and 5448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5444 and 5448, than apply into the LCM equation.

GCF(5444,5448) = 4
LCM(5444,5448) = ( 5444 × 5448) / 4
LCM(5444,5448) = 29658912 / 4
LCM(5444,5448) = 7414728

Properties of LCM 5444 and 5448

(i) The LCM of 5448 and 5444 is associative

LCM of 5444 and 5448 = LCM of 5448 and 5444

Related Least Common Multiples of 5444

Related Least Common Multiples of 5448

Frequently Asked Questions on LCM of 5444 and 5448

1. What is the LCM of 5444 and 5448?

Answer: LCM of 5444 and 5448 is 7414728.

2. What are the Factors of 5444?

Answer: Factors of 5444 are 1, 2, 4, 1361, 2722, 5444. There are 6 integers that are factors of 5444. The greatest factor of 5444 is 5444.

3. What are the Factors of 5448?

Answer: Factors of 5448 are 1, 2, 3, 4, 6, 8, 12, 24, 227, 454, 681, 908, 1362, 1816, 2724, 5448. There are 16 integers that are factors of 5448. The greatest factor of 5448 is 5448.

4. How to Find the LCM of 5444 and 5448?

Answer:

Least Common Multiple of 5444 and 5448 = 7414728

Step 1: Find the prime factorization of 5444

5444 = 2 x 2 x 1361

Step 2: Find the prime factorization of 5448

5448 = 2 x 2 x 2 x 3 x 227

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

LCM = 7414728 = 2 x 2 x 2 x 3 x 227 x 1361

Step 4: Therefore, the least common multiple of 5444 and 5448 is 7414728.