Least Common Multiple of 5562 and 5568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5562 and 5568 the smallest integer that is 5161536 that is divisible by both numbers.

Least Common Multiple (LCM) of 5562 and 5568 is 5161536.

LCM(5562,5568) = 5161536

LCM of 5562 and 5568

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

LCM of:
and

Least Common Multiple of 5562 and 5568

LCM of 5562 and 5568 is 5161536

Least common multiple can be found by multiplying the highest exponent prime factors of 5562 and 5568. First we will calculate the prime factors of 5562 and 5568.

Prime Factorization of 5562


2 5562
3 2781
3 927
3 309
103 103
1

Prime factors of 5562 are 2, 3,103. Prime factorization of 5562 in exponential form is:

5562 = 21×33×1031

Prime Factorization of 5568


2 5568
2 2784
2 1392
2 696
2 348
2 174
3 87
29 29
1

Prime factors of 5568 are 2, 3,29. Prime factorization of 5568 in exponential form is:

5568 = 26×31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5562 and 5568.

LCM(5562,5568) = 26×33×291×1031
LCM(5562,5568) = 5161536

Factors of 5562

List of positive integer factors of 5562 that divides 5562 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781, 5562

Factors of 5568

List of positive integer factors of 5568 that divides 5568 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 174, 192, 232, 348, 464, 696, 928, 1392, 1856, 2784, 5568

Least Common Multiple of 5562 and 5568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5562 and 5568, than apply into the LCM equation.

GCF(5562,5568) = 6
LCM(5562,5568) = ( 5562 × 5568) / 6
LCM(5562,5568) = 30969216 / 6
LCM(5562,5568) = 5161536

Properties of LCM 5562 and 5568

(i) The LCM of 5568 and 5562 is associative

LCM of 5562 and 5568 = LCM of 5568 and 5562

Related Least Common Multiples of 5562

Related Least Common Multiples of 5568

Frequently Asked Questions on LCM of 5562 and 5568

1. What is the LCM of 5562 and 5568?

Answer: LCM of 5562 and 5568 is 5161536.

2. What are the Factors of 5562?

Answer: Factors of 5562 are 1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781, 5562. There are 16 integers that are factors of 5562. The greatest factor of 5562 is 5562.

3. What are the Factors of 5568?

Answer: Factors of 5568 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 174, 192, 232, 348, 464, 696, 928, 1392, 1856, 2784, 5568. There are 28 integers that are factors of 5568. The greatest factor of 5568 is 5568.

4. How to Find the LCM of 5562 and 5568?

Answer:

Least Common Multiple of 5562 and 5568 = 5161536

Step 1: Find the prime factorization of 5562

5562 = 2 x 3 x 3 x 3 x 103

Step 2: Find the prime factorization of 5568

5568 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 29

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

LCM = 5161536 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 29 x 103

Step 4: Therefore, the least common multiple of 5562 and 5568 is 5161536.