Least Common Multiple of 5558 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 5558 and 5563 the smallest integer that is 30919154 that is divisible by both numbers.

Least Common Multiple (LCM) of 5558 and 5563 is 30919154.

LCM(5558,5563) = 30919154

LCM of 5558 and 5563

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

LCM of:
and

Least Common Multiple of 5558 and 5563

LCM of 5558 and 5563 is 30919154

Least common multiple can be found by multiplying the highest exponent prime factors of 5558 and 5563. First we will calculate the prime factors of 5558 and 5563.

Prime Factorization of 5558


2 5558
7 2779
397 397
1

Prime factors of 5558 are 2, 7,397. Prime factorization of 5558 in exponential form is:

5558 = 21×71×3971

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 5558 and 5563.

LCM(5558,5563) = 21×71×3971×55631
LCM(5558,5563) = 30919154

Factors of 5558

List of positive integer factors of 5558 that divides 5558 without a remainder.

1, 2, 7, 14, 397, 794, 2779, 5558

Factors of 5563

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

1, 5563

Least Common Multiple of 5558 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 5558 and 5563, than apply into the LCM equation.

GCF(5558,5563) = 1
LCM(5558,5563) = ( 5558 × 5563) / 1
LCM(5558,5563) = 30919154 / 1
LCM(5558,5563) = 30919154

Properties of LCM 5558 and 5563

(i) The LCM of 5563 and 5558 is associative

LCM of 5558 and 5563 = LCM of 5563 and 5558

Related Least Common Multiples of 5558

Related Least Common Multiples of 5563

Frequently Asked Questions on LCM of 5558 and 5563

1. What is the LCM of 5558 and 5563?

Answer: LCM of 5558 and 5563 is 30919154.

2. What are the Factors of 5558?

Answer: Factors of 5558 are 1, 2, 7, 14, 397, 794, 2779, 5558. There are 8 integers that are factors of 5558. The greatest factor of 5558 is 5558.

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 5558 and 5563?

Answer:

Least Common Multiple of 5558 and 5563 = 30919154

Step 1: Find the prime factorization of 5558

5558 = 2 x 7 x 397

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 = 30919154 = 2 x 7 x 397 x 5563

Step 4: Therefore, the least common multiple of 5558 and 5563 is 30919154.