Least Common Multiple of 5432 and 5439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5432 and 5439 the smallest integer that is 4220664 that is divisible by both numbers.

Least Common Multiple (LCM) of 5432 and 5439 is 4220664.

LCM(5432,5439) = 4220664

LCM of 5432 and 5439

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

LCM of:
and

Least Common Multiple of 5432 and 5439

LCM of 5432 and 5439 is 4220664

Least common multiple can be found by multiplying the highest exponent prime factors of 5432 and 5439. First we will calculate the prime factors of 5432 and 5439.

Prime Factorization of 5432


2 5432
2 2716
2 1358
7 679
97 97
1

Prime factors of 5432 are 2, 7,97. Prime factorization of 5432 in exponential form is:

5432 = 23×71×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5432 and 5439.

LCM(5432,5439) = 23×31×72×371×971
LCM(5432,5439) = 4220664

Factors of 5432

List of positive integer factors of 5432 that divides 5432 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 97, 194, 388, 679, 776, 1358, 2716, 5432

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

Least Common Multiple of 5432 and 5439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5432 and 5439, than apply into the LCM equation.

GCF(5432,5439) = 7
LCM(5432,5439) = ( 5432 × 5439) / 7
LCM(5432,5439) = 29544648 / 7
LCM(5432,5439) = 4220664

Properties of LCM 5432 and 5439

(i) The LCM of 5439 and 5432 is associative

LCM of 5432 and 5439 = LCM of 5439 and 5432

Related Least Common Multiples of 5432

Related Least Common Multiples of 5439

Frequently Asked Questions on LCM of 5432 and 5439

1. What is the LCM of 5432 and 5439?

Answer: LCM of 5432 and 5439 is 4220664.

2. What are the Factors of 5432?

Answer: Factors of 5432 are 1, 2, 4, 7, 8, 14, 28, 56, 97, 194, 388, 679, 776, 1358, 2716, 5432. There are 16 integers that are factors of 5432. The greatest factor of 5432 is 5432.

3. 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.

4. How to Find the LCM of 5432 and 5439?

Answer:

Least Common Multiple of 5432 and 5439 = 4220664

Step 1: Find the prime factorization of 5432

5432 = 2 x 2 x 2 x 7 x 97

Step 2: Find the prime factorization of 5439

5439 = 3 x 7 x 7 x 37

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

LCM = 4220664 = 2 x 2 x 2 x 3 x 7 x 7 x 37 x 97

Step 4: Therefore, the least common multiple of 5432 and 5439 is 4220664.