Least Common Multiple of 5562 and 5563

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 5563 the smallest integer that is 30941406 that is divisible by both numbers.

Least Common Multiple (LCM) of 5562 and 5563 is 30941406.

LCM(5562,5563) = 30941406

LCM of 5562 and 5563

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

LCM of:
and

Least Common Multiple of 5562 and 5563

LCM of 5562 and 5563 is 30941406

Least common multiple can be found by multiplying the highest exponent prime factors of 5562 and 5563. First we will calculate the prime factors of 5562 and 5563.

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 5563


5563 5563
1

Prime factors of 5563 are 5563. Prime factorization of 5563 in exponential form is:

5563 = 55631

Now multiplying the highest exponent prime factors to calculate the LCM of 5562 and 5563.

LCM(5562,5563) = 21×33×1031×55631
LCM(5562,5563) = 30941406

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 5563

List of positive integer factors of 5563 that divides 5563 without a remainder.

1, 5563

Least Common Multiple of 5562 and 5563 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 5563, than apply into the LCM equation.

GCF(5562,5563) = 1
LCM(5562,5563) = ( 5562 × 5563) / 1
LCM(5562,5563) = 30941406 / 1
LCM(5562,5563) = 30941406

Properties of LCM 5562 and 5563

(i) The LCM of 5563 and 5562 is associative

LCM of 5562 and 5563 = LCM of 5563 and 5562

Related Least Common Multiples of 5562

Related Least Common Multiples of 5563

Frequently Asked Questions on LCM of 5562 and 5563

1. What is the LCM of 5562 and 5563?

Answer: LCM of 5562 and 5563 is 30941406.

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 5563?

Answer: Factors of 5563 are 1, 5563. There are 2 integers that are factors of 5563. The greatest factor of 5563 is 5563.

4. How to Find the LCM of 5562 and 5563?

Answer:

Least Common Multiple of 5562 and 5563 = 30941406

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 5563

5563 = 5563

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

LCM = 30941406 = 2 x 3 x 3 x 3 x 103 x 5563

Step 4: Therefore, the least common multiple of 5562 and 5563 is 30941406.