Least Common Multiple of 574 and 580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 574 and 580 the smallest integer that is 166460 that is divisible by both numbers.

Least Common Multiple (LCM) of 574 and 580 is 166460.

LCM(574,580) = 166460

LCM of 574 and 580

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

LCM of:
and

Least Common Multiple of 574 and 580

LCM of 574 and 580 is 166460

Least common multiple can be found by multiplying the highest exponent prime factors of 574 and 580. First we will calculate the prime factors of 574 and 580.

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

Prime Factorization of 580


2 580
2 290
5 145
29 29
1

Prime factors of 580 are 2, 5,29. Prime factorization of 580 in exponential form is:

580 = 22×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 574 and 580.

LCM(574,580) = 22×51×71×291×411
LCM(574,580) = 166460

Factors of 574

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

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

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Least Common Multiple of 574 and 580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 574 and 580, than apply into the LCM equation.

GCF(574,580) = 2
LCM(574,580) = ( 574 × 580) / 2
LCM(574,580) = 332920 / 2
LCM(574,580) = 166460

Properties of LCM 574 and 580

(i) The LCM of 580 and 574 is associative

LCM of 574 and 580 = LCM of 580 and 574

Related Least Common Multiples of 574

Related Least Common Multiples of 580

Frequently Asked Questions on LCM of 574 and 580

1. What is the LCM of 574 and 580?

Answer: LCM of 574 and 580 is 166460.

2. 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.

3. What are the Factors of 580?

Answer: Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580. There are 12 integers that are factors of 580. The greatest factor of 580 is 580.

4. How to Find the LCM of 574 and 580?

Answer:

Least Common Multiple of 574 and 580 = 166460

Step 1: Find the prime factorization of 574

574 = 2 x 7 x 41

Step 2: Find the prime factorization of 580

580 = 2 x 2 x 5 x 29

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

LCM = 166460 = 2 x 2 x 5 x 7 x 29 x 41

Step 4: Therefore, the least common multiple of 574 and 580 is 166460.