Least Common Multiple of 562 and 570

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 570 the smallest integer that is 160170 that is divisible by both numbers.

Least Common Multiple (LCM) of 562 and 570 is 160170.

LCM(562,570) = 160170

LCM of 562 and 570

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

LCM of:
and

Least Common Multiple of 562 and 570

LCM of 562 and 570 is 160170

Least common multiple can be found by multiplying the highest exponent prime factors of 562 and 570. First we will calculate the prime factors of 562 and 570.

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 570


2 570
3 285
5 95
19 19
1

Prime factors of 570 are 2, 3, 5,19. Prime factorization of 570 in exponential form is:

570 = 21×31×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 562 and 570.

LCM(562,570) = 21×31×51×191×2811
LCM(562,570) = 160170

Factors of 562

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

1, 2, 281, 562

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Least Common Multiple of 562 and 570 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 570, than apply into the LCM equation.

GCF(562,570) = 2
LCM(562,570) = ( 562 × 570) / 2
LCM(562,570) = 320340 / 2
LCM(562,570) = 160170

Properties of LCM 562 and 570

(i) The LCM of 570 and 562 is associative

LCM of 562 and 570 = LCM of 570 and 562

Related Least Common Multiples of 562

Related Least Common Multiples of 570

Frequently Asked Questions on LCM of 562 and 570

1. What is the LCM of 562 and 570?

Answer: LCM of 562 and 570 is 160170.

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 570?

Answer: Factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570. There are 16 integers that are factors of 570. The greatest factor of 570 is 570.

4. How to Find the LCM of 562 and 570?

Answer:

Least Common Multiple of 562 and 570 = 160170

Step 1: Find the prime factorization of 562

562 = 2 x 281

Step 2: Find the prime factorization of 570

570 = 2 x 3 x 5 x 19

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

LCM = 160170 = 2 x 3 x 5 x 19 x 281

Step 4: Therefore, the least common multiple of 562 and 570 is 160170.