Least Common Multiple of 574 and 578

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 578 the smallest integer that is 165886 that is divisible by both numbers.

Least Common Multiple (LCM) of 574 and 578 is 165886.

LCM(574,578) = 165886

LCM of 574 and 578

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

LCM of:
and

Least Common Multiple of 574 and 578

LCM of 574 and 578 is 165886

Least common multiple can be found by multiplying the highest exponent prime factors of 574 and 578. First we will calculate the prime factors of 574 and 578.

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 578


2 578
17 289
17 17
1

Prime factors of 578 are 2,17. Prime factorization of 578 in exponential form is:

578 = 21×172

Now multiplying the highest exponent prime factors to calculate the LCM of 574 and 578.

LCM(574,578) = 21×71×172×411
LCM(574,578) = 165886

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 578

List of positive integer factors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Least Common Multiple of 574 and 578 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 578, than apply into the LCM equation.

GCF(574,578) = 2
LCM(574,578) = ( 574 × 578) / 2
LCM(574,578) = 331772 / 2
LCM(574,578) = 165886

Properties of LCM 574 and 578

(i) The LCM of 578 and 574 is associative

LCM of 574 and 578 = LCM of 578 and 574

Related Least Common Multiples of 574

Related Least Common Multiples of 578

Frequently Asked Questions on LCM of 574 and 578

1. What is the LCM of 574 and 578?

Answer: LCM of 574 and 578 is 165886.

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 578?

Answer: Factors of 578 are 1, 2, 17, 34, 289, 578. There are 6 integers that are factors of 578. The greatest factor of 578 is 578.

4. How to Find the LCM of 574 and 578?

Answer:

Least Common Multiple of 574 and 578 = 165886

Step 1: Find the prime factorization of 574

574 = 2 x 7 x 41

Step 2: Find the prime factorization of 578

578 = 2 x 17 x 17

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

LCM = 165886 = 2 x 7 x 17 x 17 x 41

Step 4: Therefore, the least common multiple of 574 and 578 is 165886.