Least Common Multiple of 5432 and 5438

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 5438 the smallest integer that is 14769608 that is divisible by both numbers.

Least Common Multiple (LCM) of 5432 and 5438 is 14769608.

LCM(5432,5438) = 14769608

LCM of 5432 and 5438

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

LCM of:
and

Least Common Multiple of 5432 and 5438

LCM of 5432 and 5438 is 14769608

Least common multiple can be found by multiplying the highest exponent prime factors of 5432 and 5438. First we will calculate the prime factors of 5432 and 5438.

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 5438


2 5438
2719 2719
1

Prime factors of 5438 are 2,2719. Prime factorization of 5438 in exponential form is:

5438 = 21×27191

Now multiplying the highest exponent prime factors to calculate the LCM of 5432 and 5438.

LCM(5432,5438) = 23×71×971×27191
LCM(5432,5438) = 14769608

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 5438

List of positive integer factors of 5438 that divides 5438 without a remainder.

1, 2, 2719, 5438

Least Common Multiple of 5432 and 5438 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 5438, than apply into the LCM equation.

GCF(5432,5438) = 2
LCM(5432,5438) = ( 5432 × 5438) / 2
LCM(5432,5438) = 29539216 / 2
LCM(5432,5438) = 14769608

Properties of LCM 5432 and 5438

(i) The LCM of 5438 and 5432 is associative

LCM of 5432 and 5438 = LCM of 5438 and 5432

Related Least Common Multiples of 5432

Related Least Common Multiples of 5438

Frequently Asked Questions on LCM of 5432 and 5438

1. What is the LCM of 5432 and 5438?

Answer: LCM of 5432 and 5438 is 14769608.

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 5438?

Answer: Factors of 5438 are 1, 2, 2719, 5438. There are 4 integers that are factors of 5438. The greatest factor of 5438 is 5438.

4. How to Find the LCM of 5432 and 5438?

Answer:

Least Common Multiple of 5432 and 5438 = 14769608

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 5438

5438 = 2 x 2719

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

LCM = 14769608 = 2 x 2 x 2 x 7 x 97 x 2719

Step 4: Therefore, the least common multiple of 5432 and 5438 is 14769608.