Least Common Multiple of 5432 and 5437

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 5437 the smallest integer that is 29533784 that is divisible by both numbers.

Least Common Multiple (LCM) of 5432 and 5437 is 29533784.

LCM(5432,5437) = 29533784

LCM of 5432 and 5437

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

LCM of:
and

Least Common Multiple of 5432 and 5437

LCM of 5432 and 5437 is 29533784

Least common multiple can be found by multiplying the highest exponent prime factors of 5432 and 5437. First we will calculate the prime factors of 5432 and 5437.

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 5437


5437 5437
1

Prime factors of 5437 are 5437. Prime factorization of 5437 in exponential form is:

5437 = 54371

Now multiplying the highest exponent prime factors to calculate the LCM of 5432 and 5437.

LCM(5432,5437) = 23×71×971×54371
LCM(5432,5437) = 29533784

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 5437

List of positive integer factors of 5437 that divides 5437 without a remainder.

1, 5437

Least Common Multiple of 5432 and 5437 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 5437, than apply into the LCM equation.

GCF(5432,5437) = 1
LCM(5432,5437) = ( 5432 × 5437) / 1
LCM(5432,5437) = 29533784 / 1
LCM(5432,5437) = 29533784

Properties of LCM 5432 and 5437

(i) The LCM of 5437 and 5432 is associative

LCM of 5432 and 5437 = LCM of 5437 and 5432

Related Least Common Multiples of 5432

Related Least Common Multiples of 5437

Frequently Asked Questions on LCM of 5432 and 5437

1. What is the LCM of 5432 and 5437?

Answer: LCM of 5432 and 5437 is 29533784.

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 5437?

Answer: Factors of 5437 are 1, 5437. There are 2 integers that are factors of 5437. The greatest factor of 5437 is 5437.

4. How to Find the LCM of 5432 and 5437?

Answer:

Least Common Multiple of 5432 and 5437 = 29533784

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 5437

5437 = 5437

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

LCM = 29533784 = 2 x 2 x 2 x 7 x 97 x 5437

Step 4: Therefore, the least common multiple of 5432 and 5437 is 29533784.