Least Common Multiple of 1559 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 1559 and 1563 the smallest integer that is 2436717 that is divisible by both numbers.

Least Common Multiple (LCM) of 1559 and 1563 is 2436717.

LCM(1559,1563) = 2436717

LCM of 1559 and 1563

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

LCM of:
and

Least Common Multiple of 1559 and 1563

LCM of 1559 and 1563 is 2436717

Least common multiple can be found by multiplying the highest exponent prime factors of 1559 and 1563. First we will calculate the prime factors of 1559 and 1563.

Prime Factorization of 1559


1559 1559
1

Prime factors of 1559 are 1559. Prime factorization of 1559 in exponential form is:

1559 = 15591

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 1559 and 1563.

LCM(1559,1563) = 31×5211×15591
LCM(1559,1563) = 2436717

Factors of 1559

List of positive integer factors of 1559 that divides 1559 without a remainder.

1, 1559

Factors of 1563

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

1, 3, 521, 1563

Least Common Multiple of 1559 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 1559 and 1563, than apply into the LCM equation.

GCF(1559,1563) = 1
LCM(1559,1563) = ( 1559 × 1563) / 1
LCM(1559,1563) = 2436717 / 1
LCM(1559,1563) = 2436717

Properties of LCM 1559 and 1563

(i) The LCM of 1563 and 1559 is associative

LCM of 1559 and 1563 = LCM of 1563 and 1559

Related Least Common Multiples of 1559

Related Least Common Multiples of 1563

Frequently Asked Questions on LCM of 1559 and 1563

1. What is the LCM of 1559 and 1563?

Answer: LCM of 1559 and 1563 is 2436717.

2. What are the Factors of 1559?

Answer: Factors of 1559 are 1, 1559. There are 2 integers that are factors of 1559. The greatest factor of 1559 is 1559.

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 1559 and 1563?

Answer:

Least Common Multiple of 1559 and 1563 = 2436717

Step 1: Find the prime factorization of 1559

1559 = 1559

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 = 2436717 = 3 x 521 x 1559

Step 4: Therefore, the least common multiple of 1559 and 1563 is 2436717.