Least Common Multiple of 5543 and 5548

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 5548 the smallest integer that is 30752564 that is divisible by both numbers.

Least Common Multiple (LCM) of 5543 and 5548 is 30752564.

LCM(5543,5548) = 30752564

LCM of 5543 and 5548

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

LCM of:
and

Least Common Multiple of 5543 and 5548

LCM of 5543 and 5548 is 30752564

Least common multiple can be found by multiplying the highest exponent prime factors of 5543 and 5548. First we will calculate the prime factors of 5543 and 5548.

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 5548


2 5548
2 2774
19 1387
73 73
1

Prime factors of 5548 are 2, 19,73. Prime factorization of 5548 in exponential form is:

5548 = 22×191×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5543 and 5548.

LCM(5543,5548) = 22×191×231×731×2411
LCM(5543,5548) = 30752564

Factors of 5543

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

1, 23, 241, 5543

Factors of 5548

List of positive integer factors of 5548 that divides 5548 without a remainder.

1, 2, 4, 19, 38, 73, 76, 146, 292, 1387, 2774, 5548

Least Common Multiple of 5543 and 5548 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 5548, than apply into the LCM equation.

GCF(5543,5548) = 1
LCM(5543,5548) = ( 5543 × 5548) / 1
LCM(5543,5548) = 30752564 / 1
LCM(5543,5548) = 30752564

Properties of LCM 5543 and 5548

(i) The LCM of 5548 and 5543 is associative

LCM of 5543 and 5548 = LCM of 5548 and 5543

Related Least Common Multiples of 5543

Related Least Common Multiples of 5548

Frequently Asked Questions on LCM of 5543 and 5548

1. What is the LCM of 5543 and 5548?

Answer: LCM of 5543 and 5548 is 30752564.

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 5548?

Answer: Factors of 5548 are 1, 2, 4, 19, 38, 73, 76, 146, 292, 1387, 2774, 5548. There are 12 integers that are factors of 5548. The greatest factor of 5548 is 5548.

4. How to Find the LCM of 5543 and 5548?

Answer:

Least Common Multiple of 5543 and 5548 = 30752564

Step 1: Find the prime factorization of 5543

5543 = 23 x 241

Step 2: Find the prime factorization of 5548

5548 = 2 x 2 x 19 x 73

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

LCM = 30752564 = 2 x 2 x 19 x 23 x 73 x 241

Step 4: Therefore, the least common multiple of 5543 and 5548 is 30752564.