Least Common Multiple of 566 and 572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 566 and 572 the smallest integer that is 161876 that is divisible by both numbers.

Least Common Multiple (LCM) of 566 and 572 is 161876.

LCM(566,572) = 161876

LCM of 566 and 572

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

LCM of:
and

Least Common Multiple of 566 and 572

LCM of 566 and 572 is 161876

Least common multiple can be found by multiplying the highest exponent prime factors of 566 and 572. First we will calculate the prime factors of 566 and 572.

Prime Factorization of 566


2 566
283 283
1

Prime factors of 566 are 2,283. Prime factorization of 566 in exponential form is:

566 = 21×2831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 566 and 572.

LCM(566,572) = 22×111×131×2831
LCM(566,572) = 161876

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1, 2, 283, 566

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

Least Common Multiple of 566 and 572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 566 and 572, than apply into the LCM equation.

GCF(566,572) = 2
LCM(566,572) = ( 566 × 572) / 2
LCM(566,572) = 323752 / 2
LCM(566,572) = 161876

Properties of LCM 566 and 572

(i) The LCM of 572 and 566 is associative

LCM of 566 and 572 = LCM of 572 and 566

Related Least Common Multiples of 566

Related Least Common Multiples of 572

Frequently Asked Questions on LCM of 566 and 572

1. What is the LCM of 566 and 572?

Answer: LCM of 566 and 572 is 161876.

2. What are the Factors of 566?

Answer: Factors of 566 are 1, 2, 283, 566. There are 4 integers that are factors of 566. The greatest factor of 566 is 566.

3. 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.

4. How to Find the LCM of 566 and 572?

Answer:

Least Common Multiple of 566 and 572 = 161876

Step 1: Find the prime factorization of 566

566 = 2 x 283

Step 2: Find the prime factorization of 572

572 = 2 x 2 x 11 x 13

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

LCM = 161876 = 2 x 2 x 11 x 13 x 283

Step 4: Therefore, the least common multiple of 566 and 572 is 161876.