Least Common Multiple of 5559 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 5559 and 5563 the smallest integer that is 30924717 that is divisible by both numbers.

Least Common Multiple (LCM) of 5559 and 5563 is 30924717.

LCM(5559,5563) = 30924717

LCM of 5559 and 5563

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

LCM of:
and

Least Common Multiple of 5559 and 5563

LCM of 5559 and 5563 is 30924717

Least common multiple can be found by multiplying the highest exponent prime factors of 5559 and 5563. First we will calculate the prime factors of 5559 and 5563.

Prime Factorization of 5559


3 5559
17 1853
109 109
1

Prime factors of 5559 are 3, 17,109. Prime factorization of 5559 in exponential form is:

5559 = 31×171×1091

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 5559 and 5563.

LCM(5559,5563) = 31×171×1091×55631
LCM(5559,5563) = 30924717

Factors of 5559

List of positive integer factors of 5559 that divides 5559 without a remainder.

1, 3, 17, 51, 109, 327, 1853, 5559

Factors of 5563

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

1, 5563

Least Common Multiple of 5559 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 5559 and 5563, than apply into the LCM equation.

GCF(5559,5563) = 1
LCM(5559,5563) = ( 5559 × 5563) / 1
LCM(5559,5563) = 30924717 / 1
LCM(5559,5563) = 30924717

Properties of LCM 5559 and 5563

(i) The LCM of 5563 and 5559 is associative

LCM of 5559 and 5563 = LCM of 5563 and 5559

Related Least Common Multiples of 5559

Related Least Common Multiples of 5563

Frequently Asked Questions on LCM of 5559 and 5563

1. What is the LCM of 5559 and 5563?

Answer: LCM of 5559 and 5563 is 30924717.

2. What are the Factors of 5559?

Answer: Factors of 5559 are 1, 3, 17, 51, 109, 327, 1853, 5559. There are 8 integers that are factors of 5559. The greatest factor of 5559 is 5559.

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 5559 and 5563?

Answer:

Least Common Multiple of 5559 and 5563 = 30924717

Step 1: Find the prime factorization of 5559

5559 = 3 x 17 x 109

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 = 30924717 = 3 x 17 x 109 x 5563

Step 4: Therefore, the least common multiple of 5559 and 5563 is 30924717.