Least Common Multiple of 5542 and 5547

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 5547 the smallest integer that is 30741474 that is divisible by both numbers.

Least Common Multiple (LCM) of 5542 and 5547 is 30741474.

LCM(5542,5547) = 30741474

LCM of 5542 and 5547

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

LCM of:
and

Least Common Multiple of 5542 and 5547

LCM of 5542 and 5547 is 30741474

Least common multiple can be found by multiplying the highest exponent prime factors of 5542 and 5547. First we will calculate the prime factors of 5542 and 5547.

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 5547


3 5547
43 1849
43 43
1

Prime factors of 5547 are 3,43. Prime factorization of 5547 in exponential form is:

5547 = 31×432

Now multiplying the highest exponent prime factors to calculate the LCM of 5542 and 5547.

LCM(5542,5547) = 21×31×171×432×1631
LCM(5542,5547) = 30741474

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 5547

List of positive integer factors of 5547 that divides 5547 without a remainder.

1, 3, 43, 129, 1849, 5547

Least Common Multiple of 5542 and 5547 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 5547, than apply into the LCM equation.

GCF(5542,5547) = 1
LCM(5542,5547) = ( 5542 × 5547) / 1
LCM(5542,5547) = 30741474 / 1
LCM(5542,5547) = 30741474

Properties of LCM 5542 and 5547

(i) The LCM of 5547 and 5542 is associative

LCM of 5542 and 5547 = LCM of 5547 and 5542

Related Least Common Multiples of 5542

Related Least Common Multiples of 5547

Frequently Asked Questions on LCM of 5542 and 5547

1. What is the LCM of 5542 and 5547?

Answer: LCM of 5542 and 5547 is 30741474.

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 5547?

Answer: Factors of 5547 are 1, 3, 43, 129, 1849, 5547. There are 6 integers that are factors of 5547. The greatest factor of 5547 is 5547.

4. How to Find the LCM of 5542 and 5547?

Answer:

Least Common Multiple of 5542 and 5547 = 30741474

Step 1: Find the prime factorization of 5542

5542 = 2 x 17 x 163

Step 2: Find the prime factorization of 5547

5547 = 3 x 43 x 43

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

LCM = 30741474 = 2 x 3 x 17 x 43 x 43 x 163

Step 4: Therefore, the least common multiple of 5542 and 5547 is 30741474.