Least Common Multiple of 559 and 564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 559 and 564 the smallest integer that is 315276 that is divisible by both numbers.

Least Common Multiple (LCM) of 559 and 564 is 315276.

LCM(559,564) = 315276

LCM of 559 and 564

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

LCM of:
and

Least Common Multiple of 559 and 564

LCM of 559 and 564 is 315276

Least common multiple can be found by multiplying the highest exponent prime factors of 559 and 564. First we will calculate the prime factors of 559 and 564.

Prime Factorization of 559


13 559
43 43
1

Prime factors of 559 are 13,43. Prime factorization of 559 in exponential form is:

559 = 131×431

Prime Factorization of 564


2 564
2 282
3 141
47 47
1

Prime factors of 564 are 2, 3,47. Prime factorization of 564 in exponential form is:

564 = 22×31×471

Now multiplying the highest exponent prime factors to calculate the LCM of 559 and 564.

LCM(559,564) = 22×31×131×431×471
LCM(559,564) = 315276

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Least Common Multiple of 559 and 564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 559 and 564, than apply into the LCM equation.

GCF(559,564) = 1
LCM(559,564) = ( 559 × 564) / 1
LCM(559,564) = 315276 / 1
LCM(559,564) = 315276

Properties of LCM 559 and 564

(i) The LCM of 564 and 559 is associative

LCM of 559 and 564 = LCM of 564 and 559

Related Least Common Multiples of 559

Related Least Common Multiples of 564

Frequently Asked Questions on LCM of 559 and 564

1. What is the LCM of 559 and 564?

Answer: LCM of 559 and 564 is 315276.

2. What are the Factors of 559?

Answer: Factors of 559 are 1, 13, 43, 559. There are 4 integers that are factors of 559. The greatest factor of 559 is 559.

3. What are the Factors of 564?

Answer: Factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564. There are 12 integers that are factors of 564. The greatest factor of 564 is 564.

4. How to Find the LCM of 559 and 564?

Answer:

Least Common Multiple of 559 and 564 = 315276

Step 1: Find the prime factorization of 559

559 = 13 x 43

Step 2: Find the prime factorization of 564

564 = 2 x 2 x 3 x 47

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

LCM = 315276 = 2 x 2 x 3 x 13 x 43 x 47

Step 4: Therefore, the least common multiple of 559 and 564 is 315276.