Least Common Multiple of 5562 and 5566

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 5566 the smallest integer that is 15479046 that is divisible by both numbers.

Least Common Multiple (LCM) of 5562 and 5566 is 15479046.

LCM(5562,5566) = 15479046

LCM of 5562 and 5566

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

LCM of:
and

Least Common Multiple of 5562 and 5566

LCM of 5562 and 5566 is 15479046

Least common multiple can be found by multiplying the highest exponent prime factors of 5562 and 5566. First we will calculate the prime factors of 5562 and 5566.

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 5566


2 5566
11 2783
11 253
23 23
1

Prime factors of 5566 are 2, 11,23. Prime factorization of 5566 in exponential form is:

5566 = 21×112×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5562 and 5566.

LCM(5562,5566) = 21×33×112×231×1031
LCM(5562,5566) = 15479046

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 5566

List of positive integer factors of 5566 that divides 5566 without a remainder.

1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566

Least Common Multiple of 5562 and 5566 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 5566, than apply into the LCM equation.

GCF(5562,5566) = 2
LCM(5562,5566) = ( 5562 × 5566) / 2
LCM(5562,5566) = 30958092 / 2
LCM(5562,5566) = 15479046

Properties of LCM 5562 and 5566

(i) The LCM of 5566 and 5562 is associative

LCM of 5562 and 5566 = LCM of 5566 and 5562

Related Least Common Multiples of 5562

Related Least Common Multiples of 5566

Frequently Asked Questions on LCM of 5562 and 5566

1. What is the LCM of 5562 and 5566?

Answer: LCM of 5562 and 5566 is 15479046.

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 5566?

Answer: Factors of 5566 are 1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566. There are 12 integers that are factors of 5566. The greatest factor of 5566 is 5566.

4. How to Find the LCM of 5562 and 5566?

Answer:

Least Common Multiple of 5562 and 5566 = 15479046

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 5566

5566 = 2 x 11 x 11 x 23

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

LCM = 15479046 = 2 x 3 x 3 x 3 x 11 x 11 x 23 x 103

Step 4: Therefore, the least common multiple of 5562 and 5566 is 15479046.