Least Common Multiple of 5542 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 5542 and 5549 the smallest integer that is 30752558 that is divisible by both numbers.

Least Common Multiple (LCM) of 5542 and 5549 is 30752558.

LCM(5542,5549) = 30752558

LCM of 5542 and 5549

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

LCM of:
and

Least Common Multiple of 5542 and 5549

LCM of 5542 and 5549 is 30752558

Least common multiple can be found by multiplying the highest exponent prime factors of 5542 and 5549. First we will calculate the prime factors of 5542 and 5549.

Prime Factorization of 5542


2 5542
17 2771
163 163
1

Prime factors of 5542 are 2, 17,163. Prime factorization of 5542 in exponential form is:

5542 = 21×171×1631

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 5542 and 5549.

LCM(5542,5549) = 21×171×311×1631×1791
LCM(5542,5549) = 30752558

Factors of 5542

List of positive integer factors of 5542 that divides 5542 without a remainder.

1, 2, 17, 34, 163, 326, 2771, 5542

Factors of 5549

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

1, 31, 179, 5549

Least Common Multiple of 5542 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 5542 and 5549, than apply into the LCM equation.

GCF(5542,5549) = 1
LCM(5542,5549) = ( 5542 × 5549) / 1
LCM(5542,5549) = 30752558 / 1
LCM(5542,5549) = 30752558

Properties of LCM 5542 and 5549

(i) The LCM of 5549 and 5542 is associative

LCM of 5542 and 5549 = LCM of 5549 and 5542

Related Least Common Multiples of 5542

Related Least Common Multiples of 5549

Frequently Asked Questions on LCM of 5542 and 5549

1. What is the LCM of 5542 and 5549?

Answer: LCM of 5542 and 5549 is 30752558.

2. What are the Factors of 5542?

Answer: Factors of 5542 are 1, 2, 17, 34, 163, 326, 2771, 5542. There are 8 integers that are factors of 5542. The greatest factor of 5542 is 5542.

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 5542 and 5549?

Answer:

Least Common Multiple of 5542 and 5549 = 30752558

Step 1: Find the prime factorization of 5542

5542 = 2 x 17 x 163

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 = 30752558 = 2 x 17 x 31 x 163 x 179

Step 4: Therefore, the least common multiple of 5542 and 5549 is 30752558.