Least Common Multiple of 571 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 571 and 574 the smallest integer that is 327754 that is divisible by both numbers.

Least Common Multiple (LCM) of 571 and 574 is 327754.

LCM(571,574) = 327754

LCM of 571 and 574

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

LCM of:
and

Least Common Multiple of 571 and 574

LCM of 571 and 574 is 327754

Least common multiple can be found by multiplying the highest exponent prime factors of 571 and 574. First we will calculate the prime factors of 571 and 574.

Prime Factorization of 571


571 571
1

Prime factors of 571 are 571. Prime factorization of 571 in exponential form is:

571 = 5711

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 571 and 574.

LCM(571,574) = 21×71×411×5711
LCM(571,574) = 327754

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1, 571

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 571 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 571 and 574, than apply into the LCM equation.

GCF(571,574) = 1
LCM(571,574) = ( 571 × 574) / 1
LCM(571,574) = 327754 / 1
LCM(571,574) = 327754

Properties of LCM 571 and 574

(i) The LCM of 574 and 571 is associative

LCM of 571 and 574 = LCM of 574 and 571

Related Least Common Multiples of 571

Related Least Common Multiples of 574

Frequently Asked Questions on LCM of 571 and 574

1. What is the LCM of 571 and 574?

Answer: LCM of 571 and 574 is 327754.

2. What are the Factors of 571?

Answer: Factors of 571 are 1, 571. There are 2 integers that are factors of 571. The greatest factor of 571 is 571.

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 571 and 574?

Answer:

Least Common Multiple of 571 and 574 = 327754

Step 1: Find the prime factorization of 571

571 = 571

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 = 327754 = 2 x 7 x 41 x 571

Step 4: Therefore, the least common multiple of 571 and 574 is 327754.