Least Common Multiple of 572 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 572 and 574 the smallest integer that is 164164 that is divisible by both numbers.

Least Common Multiple (LCM) of 572 and 574 is 164164.

LCM(572,574) = 164164

LCM of 572 and 574

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

LCM of:
and

Least Common Multiple of 572 and 574

LCM of 572 and 574 is 164164

Least common multiple can be found by multiplying the highest exponent prime factors of 572 and 574. First we will calculate the prime factors of 572 and 574.

Prime Factorization of 572


2 572
2 286
11 143
13 13
1

Prime factors of 572 are 2, 11,13. Prime factorization of 572 in exponential form is:

572 = 22×111×131

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 572 and 574.

LCM(572,574) = 22×71×111×131×411
LCM(572,574) = 164164

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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 572 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 572 and 574, than apply into the LCM equation.

GCF(572,574) = 2
LCM(572,574) = ( 572 × 574) / 2
LCM(572,574) = 328328 / 2
LCM(572,574) = 164164

Properties of LCM 572 and 574

(i) The LCM of 574 and 572 is associative

LCM of 572 and 574 = LCM of 574 and 572

Related Least Common Multiples of 572

Related Least Common Multiples of 574

Frequently Asked Questions on LCM of 572 and 574

1. What is the LCM of 572 and 574?

Answer: LCM of 572 and 574 is 164164.

2. What are the Factors of 572?

Answer: Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572. There are 12 integers that are factors of 572. The greatest factor of 572 is 572.

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 572 and 574?

Answer:

Least Common Multiple of 572 and 574 = 164164

Step 1: Find the prime factorization of 572

572 = 2 x 2 x 11 x 13

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 = 164164 = 2 x 2 x 7 x 11 x 13 x 41

Step 4: Therefore, the least common multiple of 572 and 574 is 164164.