Least Common Multiple of 559 and 562

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 562 the smallest integer that is 314158 that is divisible by both numbers.

Least Common Multiple (LCM) of 559 and 562 is 314158.

LCM(559,562) = 314158

LCM of 559 and 562

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

LCM of:
and

Least Common Multiple of 559 and 562

LCM of 559 and 562 is 314158

Least common multiple can be found by multiplying the highest exponent prime factors of 559 and 562. First we will calculate the prime factors of 559 and 562.

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 562


2 562
281 281
1

Prime factors of 562 are 2,281. Prime factorization of 562 in exponential form is:

562 = 21×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 559 and 562.

LCM(559,562) = 21×131×431×2811
LCM(559,562) = 314158

Factors of 559

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

1, 13, 43, 559

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Least Common Multiple of 559 and 562 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 562, than apply into the LCM equation.

GCF(559,562) = 1
LCM(559,562) = ( 559 × 562) / 1
LCM(559,562) = 314158 / 1
LCM(559,562) = 314158

Properties of LCM 559 and 562

(i) The LCM of 562 and 559 is associative

LCM of 559 and 562 = LCM of 562 and 559

Related Least Common Multiples of 559

Related Least Common Multiples of 562

Frequently Asked Questions on LCM of 559 and 562

1. What is the LCM of 559 and 562?

Answer: LCM of 559 and 562 is 314158.

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 562?

Answer: Factors of 562 are 1, 2, 281, 562. There are 4 integers that are factors of 562. The greatest factor of 562 is 562.

4. How to Find the LCM of 559 and 562?

Answer:

Least Common Multiple of 559 and 562 = 314158

Step 1: Find the prime factorization of 559

559 = 13 x 43

Step 2: Find the prime factorization of 562

562 = 2 x 281

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

LCM = 314158 = 2 x 13 x 43 x 281

Step 4: Therefore, the least common multiple of 559 and 562 is 314158.