Least Common Multiple of 5538 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 5538 and 5543 the smallest integer that is 30697134 that is divisible by both numbers.

Least Common Multiple (LCM) of 5538 and 5543 is 30697134.

LCM(5538,5543) = 30697134

LCM of 5538 and 5543

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

LCM of:
and

Least Common Multiple of 5538 and 5543

LCM of 5538 and 5543 is 30697134

Least common multiple can be found by multiplying the highest exponent prime factors of 5538 and 5543. First we will calculate the prime factors of 5538 and 5543.

Prime Factorization of 5538


2 5538
3 2769
13 923
71 71
1

Prime factors of 5538 are 2, 3, 13,71. Prime factorization of 5538 in exponential form is:

5538 = 21×31×131×711

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 5538 and 5543.

LCM(5538,5543) = 21×31×131×231×711×2411
LCM(5538,5543) = 30697134

Factors of 5538

List of positive integer factors of 5538 that divides 5538 without a remainder.

1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538

Factors of 5543

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

1, 23, 241, 5543

Least Common Multiple of 5538 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 5538 and 5543, than apply into the LCM equation.

GCF(5538,5543) = 1
LCM(5538,5543) = ( 5538 × 5543) / 1
LCM(5538,5543) = 30697134 / 1
LCM(5538,5543) = 30697134

Properties of LCM 5538 and 5543

(i) The LCM of 5543 and 5538 is associative

LCM of 5538 and 5543 = LCM of 5543 and 5538

Related Least Common Multiples of 5538

Related Least Common Multiples of 5543

Frequently Asked Questions on LCM of 5538 and 5543

1. What is the LCM of 5538 and 5543?

Answer: LCM of 5538 and 5543 is 30697134.

2. What are the Factors of 5538?

Answer: Factors of 5538 are 1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538. There are 16 integers that are factors of 5538. The greatest factor of 5538 is 5538.

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 5538 and 5543?

Answer:

Least Common Multiple of 5538 and 5543 = 30697134

Step 1: Find the prime factorization of 5538

5538 = 2 x 3 x 13 x 71

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 = 30697134 = 2 x 3 x 13 x 23 x 71 x 241

Step 4: Therefore, the least common multiple of 5538 and 5543 is 30697134.