Least Common Multiple of 564 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 564 and 572 the smallest integer that is 80652 that is divisible by both numbers.

Least Common Multiple (LCM) of 564 and 572 is 80652.

LCM(564,572) = 80652

LCM of 564 and 572

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

LCM of:
and

Least Common Multiple of 564 and 572

LCM of 564 and 572 is 80652

Least common multiple can be found by multiplying the highest exponent prime factors of 564 and 572. First we will calculate the prime factors of 564 and 572.

Prime Factorization of 564


2 564
2 282
3 141
47 47
1

Prime factors of 564 are 2, 3,47. Prime factorization of 564 in exponential form is:

564 = 22×31×471

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 564 and 572.

LCM(564,572) = 22×31×111×131×471
LCM(564,572) = 80652

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 564 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 564 and 572, than apply into the LCM equation.

GCF(564,572) = 4
LCM(564,572) = ( 564 × 572) / 4
LCM(564,572) = 322608 / 4
LCM(564,572) = 80652

Properties of LCM 564 and 572

(i) The LCM of 572 and 564 is associative

LCM of 564 and 572 = LCM of 572 and 564

Related Least Common Multiples of 564

Related Least Common Multiples of 572

Frequently Asked Questions on LCM of 564 and 572

1. What is the LCM of 564 and 572?

Answer: LCM of 564 and 572 is 80652.

2. What are the Factors of 564?

Answer: Factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564. There are 12 integers that are factors of 564. The greatest factor of 564 is 564.

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 564 and 572?

Answer:

Least Common Multiple of 564 and 572 = 80652

Step 1: Find the prime factorization of 564

564 = 2 x 2 x 3 x 47

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 = 80652 = 2 x 2 x 3 x 11 x 13 x 47

Step 4: Therefore, the least common multiple of 564 and 572 is 80652.