Least Common Multiple of 5543 and 5549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5543 and 5549 the smallest integer that is 30758107 that is divisible by both numbers.

Least Common Multiple (LCM) of 5543 and 5549 is 30758107.

LCM(5543,5549) = 30758107

LCM of 5543 and 5549

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

LCM of:
and

Least Common Multiple of 5543 and 5549

LCM of 5543 and 5549 is 30758107

Least common multiple can be found by multiplying the highest exponent prime factors of 5543 and 5549. First we will calculate the prime factors of 5543 and 5549.

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

Prime Factorization of 5549


31 5549
179 179
1

Prime factors of 5549 are 31,179. Prime factorization of 5549 in exponential form is:

5549 = 311×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 5543 and 5549.

LCM(5543,5549) = 231×311×1791×2411
LCM(5543,5549) = 30758107

Factors of 5543

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

1, 23, 241, 5543

Factors of 5549

List of positive integer factors of 5549 that divides 5549 without a remainder.

1, 31, 179, 5549

Least Common Multiple of 5543 and 5549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5543 and 5549, than apply into the LCM equation.

GCF(5543,5549) = 1
LCM(5543,5549) = ( 5543 × 5549) / 1
LCM(5543,5549) = 30758107 / 1
LCM(5543,5549) = 30758107

Properties of LCM 5543 and 5549

(i) The LCM of 5549 and 5543 is associative

LCM of 5543 and 5549 = LCM of 5549 and 5543

Related Least Common Multiples of 5543

Related Least Common Multiples of 5549

Frequently Asked Questions on LCM of 5543 and 5549

1. What is the LCM of 5543 and 5549?

Answer: LCM of 5543 and 5549 is 30758107.

2. 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.

3. What are the Factors of 5549?

Answer: Factors of 5549 are 1, 31, 179, 5549. There are 4 integers that are factors of 5549. The greatest factor of 5549 is 5549.

4. How to Find the LCM of 5543 and 5549?

Answer:

Least Common Multiple of 5543 and 5549 = 30758107

Step 1: Find the prime factorization of 5543

5543 = 23 x 241

Step 2: Find the prime factorization of 5549

5549 = 31 x 179

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

LCM = 30758107 = 23 x 31 x 179 x 241

Step 4: Therefore, the least common multiple of 5543 and 5549 is 30758107.