Least Common Multiple of 562 and 564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 562 and 564 the smallest integer that is 158484 that is divisible by both numbers.

Least Common Multiple (LCM) of 562 and 564 is 158484.

LCM(562,564) = 158484

LCM of 562 and 564

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

LCM of:
and

Least Common Multiple of 562 and 564

LCM of 562 and 564 is 158484

Least common multiple can be found by multiplying the highest exponent prime factors of 562 and 564. First we will calculate the prime factors of 562 and 564.

Prime Factorization of 562


2 562
281 281
1

Prime factors of 562 are 2,281. Prime factorization of 562 in exponential form is:

562 = 21×2811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 562 and 564.

LCM(562,564) = 22×31×471×2811
LCM(562,564) = 158484

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1, 2, 281, 562

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

Least Common Multiple of 562 and 564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 562 and 564, than apply into the LCM equation.

GCF(562,564) = 2
LCM(562,564) = ( 562 × 564) / 2
LCM(562,564) = 316968 / 2
LCM(562,564) = 158484

Properties of LCM 562 and 564

(i) The LCM of 564 and 562 is associative

LCM of 562 and 564 = LCM of 564 and 562

Related Least Common Multiples of 562

Related Least Common Multiples of 564

Frequently Asked Questions on LCM of 562 and 564

1. What is the LCM of 562 and 564?

Answer: LCM of 562 and 564 is 158484.

2. What are the Factors of 562?

Answer: Factors of 562 are 1, 2, 281, 562. There are 4 integers that are factors of 562. The greatest factor of 562 is 562.

3. 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.

4. How to Find the LCM of 562 and 564?

Answer:

Least Common Multiple of 562 and 564 = 158484

Step 1: Find the prime factorization of 562

562 = 2 x 281

Step 2: Find the prime factorization of 564

564 = 2 x 2 x 3 x 47

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

LCM = 158484 = 2 x 2 x 3 x 47 x 281

Step 4: Therefore, the least common multiple of 562 and 564 is 158484.