Least Common Multiple of 566 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 566 and 574 the smallest integer that is 162442 that is divisible by both numbers.

Least Common Multiple (LCM) of 566 and 574 is 162442.

LCM(566,574) = 162442

LCM of 566 and 574

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

LCM of:
and

Least Common Multiple of 566 and 574

LCM of 566 and 574 is 162442

Least common multiple can be found by multiplying the highest exponent prime factors of 566 and 574. First we will calculate the prime factors of 566 and 574.

Prime Factorization of 566


2 566
283 283
1

Prime factors of 566 are 2,283. Prime factorization of 566 in exponential form is:

566 = 21×2831

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 566 and 574.

LCM(566,574) = 21×71×411×2831
LCM(566,574) = 162442

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1, 2, 283, 566

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 566 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 566 and 574, than apply into the LCM equation.

GCF(566,574) = 2
LCM(566,574) = ( 566 × 574) / 2
LCM(566,574) = 324884 / 2
LCM(566,574) = 162442

Properties of LCM 566 and 574

(i) The LCM of 574 and 566 is associative

LCM of 566 and 574 = LCM of 574 and 566

Related Least Common Multiples of 566

Related Least Common Multiples of 574

Frequently Asked Questions on LCM of 566 and 574

1. What is the LCM of 566 and 574?

Answer: LCM of 566 and 574 is 162442.

2. What are the Factors of 566?

Answer: Factors of 566 are 1, 2, 283, 566. There are 4 integers that are factors of 566. The greatest factor of 566 is 566.

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 566 and 574?

Answer:

Least Common Multiple of 566 and 574 = 162442

Step 1: Find the prime factorization of 566

566 = 2 x 283

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 = 162442 = 2 x 7 x 41 x 283

Step 4: Therefore, the least common multiple of 566 and 574 is 162442.