Least Common Multiple of 13439 and 13444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13439 and 13444 the smallest integer that is 180673916 that is divisible by both numbers.

Least Common Multiple (LCM) of 13439 and 13444 is 180673916.

LCM(13439,13444) = 180673916

LCM of 13439 and 13444

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

LCM of:
and

Least Common Multiple of 13439 and 13444

LCM of 13439 and 13444 is 180673916

Least common multiple can be found by multiplying the highest exponent prime factors of 13439 and 13444. First we will calculate the prime factors of 13439 and 13444.

Prime Factorization of 13439


89 13439
151 151
1

Prime factors of 13439 are 89,151. Prime factorization of 13439 in exponential form is:

13439 = 891×1511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 13439 and 13444.

LCM(13439,13444) = 22×891×1511×33611
LCM(13439,13444) = 180673916

Factors of 13439

List of positive integer factors of 13439 that divides 13439 without a remainder.

1, 89, 151, 13439

Factors of 13444

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

1, 2, 4, 3361, 6722, 13444

Least Common Multiple of 13439 and 13444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13439 and 13444, than apply into the LCM equation.

GCF(13439,13444) = 1
LCM(13439,13444) = ( 13439 × 13444) / 1
LCM(13439,13444) = 180673916 / 1
LCM(13439,13444) = 180673916

Properties of LCM 13439 and 13444

(i) The LCM of 13444 and 13439 is associative

LCM of 13439 and 13444 = LCM of 13444 and 13439

Related Least Common Multiples of 13439

Related Least Common Multiples of 13444

Frequently Asked Questions on LCM of 13439 and 13444

1. What is the LCM of 13439 and 13444?

Answer: LCM of 13439 and 13444 is 180673916.

2. What are the Factors of 13439?

Answer: Factors of 13439 are 1, 89, 151, 13439. There are 4 integers that are factors of 13439. The greatest factor of 13439 is 13439.

3. 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.

4. How to Find the LCM of 13439 and 13444?

Answer:

Least Common Multiple of 13439 and 13444 = 180673916

Step 1: Find the prime factorization of 13439

13439 = 89 x 151

Step 2: Find the prime factorization of 13444

13444 = 2 x 2 x 3361

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

LCM = 180673916 = 2 x 2 x 89 x 151 x 3361

Step 4: Therefore, the least common multiple of 13439 and 13444 is 180673916.