Least Common Multiple of 5536 and 5543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5536 and 5543 the smallest integer that is 30686048 that is divisible by both numbers.

Least Common Multiple (LCM) of 5536 and 5543 is 30686048.

LCM(5536,5543) = 30686048

LCM of 5536 and 5543

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

LCM of:
and

Least Common Multiple of 5536 and 5543

LCM of 5536 and 5543 is 30686048

Least common multiple can be found by multiplying the highest exponent prime factors of 5536 and 5543. First we will calculate the prime factors of 5536 and 5543.

Prime Factorization of 5536


2 5536
2 2768
2 1384
2 692
2 346
173 173
1

Prime factors of 5536 are 2,173. Prime factorization of 5536 in exponential form is:

5536 = 25×1731

Prime Factorization of 5543


23 5543
241 241
1

Prime factors of 5543 are 23,241. Prime factorization of 5543 in exponential form is:

5543 = 231×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 5536 and 5543.

LCM(5536,5543) = 25×231×1731×2411
LCM(5536,5543) = 30686048

Factors of 5536

List of positive integer factors of 5536 that divides 5536 without a remainder.

1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536

Factors of 5543

List of positive integer factors of 5543 that divides 5543 without a remainder.

1, 23, 241, 5543

Least Common Multiple of 5536 and 5543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5536 and 5543, than apply into the LCM equation.

GCF(5536,5543) = 1
LCM(5536,5543) = ( 5536 × 5543) / 1
LCM(5536,5543) = 30686048 / 1
LCM(5536,5543) = 30686048

Properties of LCM 5536 and 5543

(i) The LCM of 5543 and 5536 is associative

LCM of 5536 and 5543 = LCM of 5543 and 5536

Related Least Common Multiples of 5536

Related Least Common Multiples of 5543

Frequently Asked Questions on LCM of 5536 and 5543

1. What is the LCM of 5536 and 5543?

Answer: LCM of 5536 and 5543 is 30686048.

2. What are the Factors of 5536?

Answer: Factors of 5536 are 1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536. There are 12 integers that are factors of 5536. The greatest factor of 5536 is 5536.

3. What are the Factors of 5543?

Answer: Factors of 5543 are 1, 23, 241, 5543. There are 4 integers that are factors of 5543. The greatest factor of 5543 is 5543.

4. How to Find the LCM of 5536 and 5543?

Answer:

Least Common Multiple of 5536 and 5543 = 30686048

Step 1: Find the prime factorization of 5536

5536 = 2 x 2 x 2 x 2 x 2 x 173

Step 2: Find the prime factorization of 5543

5543 = 23 x 241

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

LCM = 30686048 = 2 x 2 x 2 x 2 x 2 x 23 x 173 x 241

Step 4: Therefore, the least common multiple of 5536 and 5543 is 30686048.