Least Common Multiple of 5439 and 5445

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 5445 the smallest integer that is 9871785 that is divisible by both numbers.

Least Common Multiple (LCM) of 5439 and 5445 is 9871785.

LCM(5439,5445) = 9871785

LCM of 5439 and 5445

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

LCM of:
and

Least Common Multiple of 5439 and 5445

LCM of 5439 and 5445 is 9871785

Least common multiple can be found by multiplying the highest exponent prime factors of 5439 and 5445. First we will calculate the prime factors of 5439 and 5445.

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 5445


3 5445
3 1815
5 605
11 121
11 11
1

Prime factors of 5445 are 3, 5,11. Prime factorization of 5445 in exponential form is:

5445 = 32×51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 5439 and 5445.

LCM(5439,5445) = 32×51×72×112×371
LCM(5439,5445) = 9871785

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 5445

List of positive integer factors of 5445 that divides 5445 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445

Least Common Multiple of 5439 and 5445 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 5445, than apply into the LCM equation.

GCF(5439,5445) = 3
LCM(5439,5445) = ( 5439 × 5445) / 3
LCM(5439,5445) = 29615355 / 3
LCM(5439,5445) = 9871785

Properties of LCM 5439 and 5445

(i) The LCM of 5445 and 5439 is associative

LCM of 5439 and 5445 = LCM of 5445 and 5439

Related Least Common Multiples of 5439

Related Least Common Multiples of 5445

Frequently Asked Questions on LCM of 5439 and 5445

1. What is the LCM of 5439 and 5445?

Answer: LCM of 5439 and 5445 is 9871785.

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 5445?

Answer: Factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445. There are 18 integers that are factors of 5445. The greatest factor of 5445 is 5445.

4. How to Find the LCM of 5439 and 5445?

Answer:

Least Common Multiple of 5439 and 5445 = 9871785

Step 1: Find the prime factorization of 5439

5439 = 3 x 7 x 7 x 37

Step 2: Find the prime factorization of 5445

5445 = 3 x 3 x 5 x 11 x 11

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

LCM = 9871785 = 3 x 3 x 5 x 7 x 7 x 11 x 11 x 37

Step 4: Therefore, the least common multiple of 5439 and 5445 is 9871785.