Least Common Multiple of 3558 and 3563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3558 and 3563 the smallest integer that is 12677154 that is divisible by both numbers.

Least Common Multiple (LCM) of 3558 and 3563 is 12677154.

LCM(3558,3563) = 12677154

LCM of 3558 and 3563

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

LCM of:
and

Least Common Multiple of 3558 and 3563

LCM of 3558 and 3563 is 12677154

Least common multiple can be found by multiplying the highest exponent prime factors of 3558 and 3563. First we will calculate the prime factors of 3558 and 3563.

Prime Factorization of 3558


2 3558
3 1779
593 593
1

Prime factors of 3558 are 2, 3,593. Prime factorization of 3558 in exponential form is:

3558 = 21×31×5931

Prime Factorization of 3563


7 3563
509 509
1

Prime factors of 3563 are 7,509. Prime factorization of 3563 in exponential form is:

3563 = 71×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 3558 and 3563.

LCM(3558,3563) = 21×31×71×5091×5931
LCM(3558,3563) = 12677154

Factors of 3558

List of positive integer factors of 3558 that divides 3558 without a remainder.

1, 2, 3, 6, 593, 1186, 1779, 3558

Factors of 3563

List of positive integer factors of 3563 that divides 3563 without a remainder.

1, 7, 509, 3563

Least Common Multiple of 3558 and 3563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3558 and 3563, than apply into the LCM equation.

GCF(3558,3563) = 1
LCM(3558,3563) = ( 3558 × 3563) / 1
LCM(3558,3563) = 12677154 / 1
LCM(3558,3563) = 12677154

Properties of LCM 3558 and 3563

(i) The LCM of 3563 and 3558 is associative

LCM of 3558 and 3563 = LCM of 3563 and 3558

Related Least Common Multiples of 3558

Related Least Common Multiples of 3563

Frequently Asked Questions on LCM of 3558 and 3563

1. What is the LCM of 3558 and 3563?

Answer: LCM of 3558 and 3563 is 12677154.

2. What are the Factors of 3558?

Answer: Factors of 3558 are 1, 2, 3, 6, 593, 1186, 1779, 3558. There are 8 integers that are factors of 3558. The greatest factor of 3558 is 3558.

3. What are the Factors of 3563?

Answer: Factors of 3563 are 1, 7, 509, 3563. There are 4 integers that are factors of 3563. The greatest factor of 3563 is 3563.

4. How to Find the LCM of 3558 and 3563?

Answer:

Least Common Multiple of 3558 and 3563 = 12677154

Step 1: Find the prime factorization of 3558

3558 = 2 x 3 x 593

Step 2: Find the prime factorization of 3563

3563 = 7 x 509

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

LCM = 12677154 = 2 x 3 x 7 x 509 x 593

Step 4: Therefore, the least common multiple of 3558 and 3563 is 12677154.