Least Common Multiple of 570 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 570 and 574 the smallest integer that is 163590 that is divisible by both numbers.

Least Common Multiple (LCM) of 570 and 574 is 163590.

LCM(570,574) = 163590

LCM of 570 and 574

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

LCM of:
and

Least Common Multiple of 570 and 574

LCM of 570 and 574 is 163590

Least common multiple can be found by multiplying the highest exponent prime factors of 570 and 574. First we will calculate the prime factors of 570 and 574.

Prime Factorization of 570


2 570
3 285
5 95
19 19
1

Prime factors of 570 are 2, 3, 5,19. Prime factorization of 570 in exponential form is:

570 = 21×31×51×191

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 570 and 574.

LCM(570,574) = 21×31×51×71×191×411
LCM(570,574) = 163590

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

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 570 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 570 and 574, than apply into the LCM equation.

GCF(570,574) = 2
LCM(570,574) = ( 570 × 574) / 2
LCM(570,574) = 327180 / 2
LCM(570,574) = 163590

Properties of LCM 570 and 574

(i) The LCM of 574 and 570 is associative

LCM of 570 and 574 = LCM of 574 and 570

Related Least Common Multiples of 570

Related Least Common Multiples of 574

Frequently Asked Questions on LCM of 570 and 574

1. What is the LCM of 570 and 574?

Answer: LCM of 570 and 574 is 163590.

2. What are the Factors of 570?

Answer: Factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570. There are 16 integers that are factors of 570. The greatest factor of 570 is 570.

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 570 and 574?

Answer:

Least Common Multiple of 570 and 574 = 163590

Step 1: Find the prime factorization of 570

570 = 2 x 3 x 5 x 19

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 = 163590 = 2 x 3 x 5 x 7 x 19 x 41

Step 4: Therefore, the least common multiple of 570 and 574 is 163590.