Least Common Multiple of 574 and 582

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 582 the smallest integer that is 167034 that is divisible by both numbers.

Least Common Multiple (LCM) of 574 and 582 is 167034.

LCM(574,582) = 167034

LCM of 574 and 582

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

LCM of:
and

Least Common Multiple of 574 and 582

LCM of 574 and 582 is 167034

Least common multiple can be found by multiplying the highest exponent prime factors of 574 and 582. First we will calculate the prime factors of 574 and 582.

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 582


2 582
3 291
97 97
1

Prime factors of 582 are 2, 3,97. Prime factorization of 582 in exponential form is:

582 = 21×31×971

Now multiplying the highest exponent prime factors to calculate the LCM of 574 and 582.

LCM(574,582) = 21×31×71×411×971
LCM(574,582) = 167034

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 582

List of positive integer factors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Least Common Multiple of 574 and 582 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 582, than apply into the LCM equation.

GCF(574,582) = 2
LCM(574,582) = ( 574 × 582) / 2
LCM(574,582) = 334068 / 2
LCM(574,582) = 167034

Properties of LCM 574 and 582

(i) The LCM of 582 and 574 is associative

LCM of 574 and 582 = LCM of 582 and 574

Related Least Common Multiples of 574

Related Least Common Multiples of 582

Frequently Asked Questions on LCM of 574 and 582

1. What is the LCM of 574 and 582?

Answer: LCM of 574 and 582 is 167034.

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 582?

Answer: Factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582. There are 8 integers that are factors of 582. The greatest factor of 582 is 582.

4. How to Find the LCM of 574 and 582?

Answer:

Least Common Multiple of 574 and 582 = 167034

Step 1: Find the prime factorization of 574

574 = 2 x 7 x 41

Step 2: Find the prime factorization of 582

582 = 2 x 3 x 97

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

LCM = 167034 = 2 x 3 x 7 x 41 x 97

Step 4: Therefore, the least common multiple of 574 and 582 is 167034.