Least Common Multiple of 1559 and 1564

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 1564 the smallest integer that is 2438276 that is divisible by both numbers.

Least Common Multiple (LCM) of 1559 and 1564 is 2438276.

LCM(1559,1564) = 2438276

LCM of 1559 and 1564

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

LCM of:
and

Least Common Multiple of 1559 and 1564

LCM of 1559 and 1564 is 2438276

Least common multiple can be found by multiplying the highest exponent prime factors of 1559 and 1564. First we will calculate the prime factors of 1559 and 1564.

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 1564


2 1564
2 782
17 391
23 23
1

Prime factors of 1564 are 2, 17,23. Prime factorization of 1564 in exponential form is:

1564 = 22×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1559 and 1564.

LCM(1559,1564) = 22×171×231×15591
LCM(1559,1564) = 2438276

Factors of 1559

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

1, 1559

Factors of 1564

List of positive integer factors of 1564 that divides 1564 without a remainder.

1, 2, 4, 17, 23, 34, 46, 68, 92, 391, 782, 1564

Least Common Multiple of 1559 and 1564 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 1564, than apply into the LCM equation.

GCF(1559,1564) = 1
LCM(1559,1564) = ( 1559 × 1564) / 1
LCM(1559,1564) = 2438276 / 1
LCM(1559,1564) = 2438276

Properties of LCM 1559 and 1564

(i) The LCM of 1564 and 1559 is associative

LCM of 1559 and 1564 = LCM of 1564 and 1559

Related Least Common Multiples of 1559

Related Least Common Multiples of 1564

Frequently Asked Questions on LCM of 1559 and 1564

1. What is the LCM of 1559 and 1564?

Answer: LCM of 1559 and 1564 is 2438276.

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 1564?

Answer: Factors of 1564 are 1, 2, 4, 17, 23, 34, 46, 68, 92, 391, 782, 1564. There are 12 integers that are factors of 1564. The greatest factor of 1564 is 1564.

4. How to Find the LCM of 1559 and 1564?

Answer:

Least Common Multiple of 1559 and 1564 = 2438276

Step 1: Find the prime factorization of 1559

1559 = 1559

Step 2: Find the prime factorization of 1564

1564 = 2 x 2 x 17 x 23

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

LCM = 2438276 = 2 x 2 x 17 x 23 x 1559

Step 4: Therefore, the least common multiple of 1559 and 1564 is 2438276.