Least Common Multiple of 5439 and 5444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5439 and 5444 the smallest integer that is 29609916 that is divisible by both numbers.

Least Common Multiple (LCM) of 5439 and 5444 is 29609916.

LCM(5439,5444) = 29609916

LCM of 5439 and 5444

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

LCM of:
and

Least Common Multiple of 5439 and 5444

LCM of 5439 and 5444 is 29609916

Least common multiple can be found by multiplying the highest exponent prime factors of 5439 and 5444. First we will calculate the prime factors of 5439 and 5444.

Prime Factorization of 5439


3 5439
7 1813
7 259
37 37
1

Prime factors of 5439 are 3, 7,37. Prime factorization of 5439 in exponential form is:

5439 = 31×72×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5439 and 5444.

LCM(5439,5444) = 22×31×72×371×13611
LCM(5439,5444) = 29609916

Factors of 5439

List of positive integer factors of 5439 that divides 5439 without a remainder.

1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439

Factors of 5444

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

1, 2, 4, 1361, 2722, 5444

Least Common Multiple of 5439 and 5444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5439 and 5444, than apply into the LCM equation.

GCF(5439,5444) = 1
LCM(5439,5444) = ( 5439 × 5444) / 1
LCM(5439,5444) = 29609916 / 1
LCM(5439,5444) = 29609916

Properties of LCM 5439 and 5444

(i) The LCM of 5444 and 5439 is associative

LCM of 5439 and 5444 = LCM of 5444 and 5439

Related Least Common Multiples of 5439

Related Least Common Multiples of 5444

Frequently Asked Questions on LCM of 5439 and 5444

1. What is the LCM of 5439 and 5444?

Answer: LCM of 5439 and 5444 is 29609916.

2. What are the Factors of 5439?

Answer: Factors of 5439 are 1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439. There are 12 integers that are factors of 5439. The greatest factor of 5439 is 5439.

3. 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.

4. How to Find the LCM of 5439 and 5444?

Answer:

Least Common Multiple of 5439 and 5444 = 29609916

Step 1: Find the prime factorization of 5439

5439 = 3 x 7 x 7 x 37

Step 2: Find the prime factorization of 5444

5444 = 2 x 2 x 1361

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

LCM = 29609916 = 2 x 2 x 3 x 7 x 7 x 37 x 1361

Step 4: Therefore, the least common multiple of 5439 and 5444 is 29609916.