Least Common Multiple of 10439 and 10444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10439 and 10444 the smallest integer that is 109024916 that is divisible by both numbers.

Least Common Multiple (LCM) of 10439 and 10444 is 109024916.

LCM(10439,10444) = 109024916

LCM of 10439 and 10444

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

LCM of:
and

Least Common Multiple of 10439 and 10444

LCM of 10439 and 10444 is 109024916

Least common multiple can be found by multiplying the highest exponent prime factors of 10439 and 10444. First we will calculate the prime factors of 10439 and 10444.

Prime Factorization of 10439


11 10439
13 949
73 73
1

Prime factors of 10439 are 11, 13,73. Prime factorization of 10439 in exponential form is:

10439 = 111×131×731

Prime Factorization of 10444


2 10444
2 5222
7 2611
373 373
1

Prime factors of 10444 are 2, 7,373. Prime factorization of 10444 in exponential form is:

10444 = 22×71×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 10439 and 10444.

LCM(10439,10444) = 22×71×111×131×731×3731
LCM(10439,10444) = 109024916

Factors of 10439

List of positive integer factors of 10439 that divides 10439 without a remainder.

1, 11, 13, 73, 143, 803, 949, 10439

Factors of 10444

List of positive integer factors of 10444 that divides 10444 without a remainder.

1, 2, 4, 7, 14, 28, 373, 746, 1492, 2611, 5222, 10444

Least Common Multiple of 10439 and 10444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10439 and 10444, than apply into the LCM equation.

GCF(10439,10444) = 1
LCM(10439,10444) = ( 10439 × 10444) / 1
LCM(10439,10444) = 109024916 / 1
LCM(10439,10444) = 109024916

Properties of LCM 10439 and 10444

(i) The LCM of 10444 and 10439 is associative

LCM of 10439 and 10444 = LCM of 10444 and 10439

Related Least Common Multiples of 10439

Related Least Common Multiples of 10444

Frequently Asked Questions on LCM of 10439 and 10444

1. What is the LCM of 10439 and 10444?

Answer: LCM of 10439 and 10444 is 109024916.

2. What are the Factors of 10439?

Answer: Factors of 10439 are 1, 11, 13, 73, 143, 803, 949, 10439. There are 8 integers that are factors of 10439. The greatest factor of 10439 is 10439.

3. What are the Factors of 10444?

Answer: Factors of 10444 are 1, 2, 4, 7, 14, 28, 373, 746, 1492, 2611, 5222, 10444. There are 12 integers that are factors of 10444. The greatest factor of 10444 is 10444.

4. How to Find the LCM of 10439 and 10444?

Answer:

Least Common Multiple of 10439 and 10444 = 109024916

Step 1: Find the prime factorization of 10439

10439 = 11 x 13 x 73

Step 2: Find the prime factorization of 10444

10444 = 2 x 2 x 7 x 373

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

LCM = 109024916 = 2 x 2 x 7 x 11 x 13 x 73 x 373

Step 4: Therefore, the least common multiple of 10439 and 10444 is 109024916.