Least Common Multiple of 569 and 574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 569 and 574 the smallest integer that is 326606 that is divisible by both numbers.

Least Common Multiple (LCM) of 569 and 574 is 326606.

LCM(569,574) = 326606

LCM of 569 and 574

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

LCM of:
and

Least Common Multiple of 569 and 574

LCM of 569 and 574 is 326606

Least common multiple can be found by multiplying the highest exponent prime factors of 569 and 574. First we will calculate the prime factors of 569 and 574.

Prime Factorization of 569


569 569
1

Prime factors of 569 are 569. Prime factorization of 569 in exponential form is:

569 = 5691

Prime Factorization of 574


2 574
7 287
41 41
1

Prime factors of 574 are 2, 7,41. Prime factorization of 574 in exponential form is:

574 = 21×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 569 and 574.

LCM(569,574) = 21×71×411×5691
LCM(569,574) = 326606

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1, 569

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Least Common Multiple of 569 and 574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 569 and 574, than apply into the LCM equation.

GCF(569,574) = 1
LCM(569,574) = ( 569 × 574) / 1
LCM(569,574) = 326606 / 1
LCM(569,574) = 326606

Properties of LCM 569 and 574

(i) The LCM of 574 and 569 is associative

LCM of 569 and 574 = LCM of 574 and 569

Related Least Common Multiples of 569

Related Least Common Multiples of 574

Frequently Asked Questions on LCM of 569 and 574

1. What is the LCM of 569 and 574?

Answer: LCM of 569 and 574 is 326606.

2. What are the Factors of 569?

Answer: Factors of 569 are 1, 569. There are 2 integers that are factors of 569. The greatest factor of 569 is 569.

3. What are the Factors of 574?

Answer: Factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574. There are 8 integers that are factors of 574. The greatest factor of 574 is 574.

4. How to Find the LCM of 569 and 574?

Answer:

Least Common Multiple of 569 and 574 = 326606

Step 1: Find the prime factorization of 569

569 = 569

Step 2: Find the prime factorization of 574

574 = 2 x 7 x 41

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

LCM = 326606 = 2 x 7 x 41 x 569

Step 4: Therefore, the least common multiple of 569 and 574 is 326606.