Least Common Multiple of 5432 and 5433

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 5433 the smallest integer that is 29512056 that is divisible by both numbers.

Least Common Multiple (LCM) of 5432 and 5433 is 29512056.

LCM(5432,5433) = 29512056

LCM of 5432 and 5433

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

LCM of:
and

Least Common Multiple of 5432 and 5433

LCM of 5432 and 5433 is 29512056

Least common multiple can be found by multiplying the highest exponent prime factors of 5432 and 5433. First we will calculate the prime factors of 5432 and 5433.

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 5433


3 5433
1811 1811
1

Prime factors of 5433 are 3,1811. Prime factorization of 5433 in exponential form is:

5433 = 31×18111

Now multiplying the highest exponent prime factors to calculate the LCM of 5432 and 5433.

LCM(5432,5433) = 23×31×71×971×18111
LCM(5432,5433) = 29512056

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 5433

List of positive integer factors of 5433 that divides 5433 without a remainder.

1, 3, 1811, 5433

Least Common Multiple of 5432 and 5433 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 5433, than apply into the LCM equation.

GCF(5432,5433) = 1
LCM(5432,5433) = ( 5432 × 5433) / 1
LCM(5432,5433) = 29512056 / 1
LCM(5432,5433) = 29512056

Properties of LCM 5432 and 5433

(i) The LCM of 5433 and 5432 is associative

LCM of 5432 and 5433 = LCM of 5433 and 5432

Related Least Common Multiples of 5432

Related Least Common Multiples of 5433

Frequently Asked Questions on LCM of 5432 and 5433

1. What is the LCM of 5432 and 5433?

Answer: LCM of 5432 and 5433 is 29512056.

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 5433?

Answer: Factors of 5433 are 1, 3, 1811, 5433. There are 4 integers that are factors of 5433. The greatest factor of 5433 is 5433.

4. How to Find the LCM of 5432 and 5433?

Answer:

Least Common Multiple of 5432 and 5433 = 29512056

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 5433

5433 = 3 x 1811

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

LCM = 29512056 = 2 x 2 x 2 x 3 x 7 x 97 x 1811

Step 4: Therefore, the least common multiple of 5432 and 5433 is 29512056.