Least Common Multiple of 1558 and 1563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1558 and 1563 the smallest integer that is 2435154 that is divisible by both numbers.

Least Common Multiple (LCM) of 1558 and 1563 is 2435154.

LCM(1558,1563) = 2435154

LCM of 1558 and 1563

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

LCM of:
and

Least Common Multiple of 1558 and 1563

LCM of 1558 and 1563 is 2435154

Least common multiple can be found by multiplying the highest exponent prime factors of 1558 and 1563. First we will calculate the prime factors of 1558 and 1563.

Prime Factorization of 1558


2 1558
19 779
41 41
1

Prime factors of 1558 are 2, 19,41. Prime factorization of 1558 in exponential form is:

1558 = 21×191×411

Prime Factorization of 1563


3 1563
521 521
1

Prime factors of 1563 are 3,521. Prime factorization of 1563 in exponential form is:

1563 = 31×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 1558 and 1563.

LCM(1558,1563) = 21×31×191×411×5211
LCM(1558,1563) = 2435154

Factors of 1558

List of positive integer factors of 1558 that divides 1558 without a remainder.

1, 2, 19, 38, 41, 82, 779, 1558

Factors of 1563

List of positive integer factors of 1563 that divides 1563 without a remainder.

1, 3, 521, 1563

Least Common Multiple of 1558 and 1563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1558 and 1563, than apply into the LCM equation.

GCF(1558,1563) = 1
LCM(1558,1563) = ( 1558 × 1563) / 1
LCM(1558,1563) = 2435154 / 1
LCM(1558,1563) = 2435154

Properties of LCM 1558 and 1563

(i) The LCM of 1563 and 1558 is associative

LCM of 1558 and 1563 = LCM of 1563 and 1558

Related Least Common Multiples of 1558

Related Least Common Multiples of 1563

Frequently Asked Questions on LCM of 1558 and 1563

1. What is the LCM of 1558 and 1563?

Answer: LCM of 1558 and 1563 is 2435154.

2. What are the Factors of 1558?

Answer: Factors of 1558 are 1, 2, 19, 38, 41, 82, 779, 1558. There are 8 integers that are factors of 1558. The greatest factor of 1558 is 1558.

3. What are the Factors of 1563?

Answer: Factors of 1563 are 1, 3, 521, 1563. There are 4 integers that are factors of 1563. The greatest factor of 1563 is 1563.

4. How to Find the LCM of 1558 and 1563?

Answer:

Least Common Multiple of 1558 and 1563 = 2435154

Step 1: Find the prime factorization of 1558

1558 = 2 x 19 x 41

Step 2: Find the prime factorization of 1563

1563 = 3 x 521

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

LCM = 2435154 = 2 x 3 x 19 x 41 x 521

Step 4: Therefore, the least common multiple of 1558 and 1563 is 2435154.