Least Common Multiple of 565 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 565 and 570 the smallest integer that is 64410 that is divisible by both numbers.

Least Common Multiple (LCM) of 565 and 570 is 64410.

LCM(565,570) = 64410

LCM of 565 and 570

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

LCM of:
and

Least Common Multiple of 565 and 570

LCM of 565 and 570 is 64410

Least common multiple can be found by multiplying the highest exponent prime factors of 565 and 570. First we will calculate the prime factors of 565 and 570.

Prime Factorization of 565


5 565
113 113
1

Prime factors of 565 are 5,113. Prime factorization of 565 in exponential form is:

565 = 51×1131

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 565 and 570.

LCM(565,570) = 21×31×51×191×1131
LCM(565,570) = 64410

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1, 5, 113, 565

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 565 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 565 and 570, than apply into the LCM equation.

GCF(565,570) = 5
LCM(565,570) = ( 565 × 570) / 5
LCM(565,570) = 322050 / 5
LCM(565,570) = 64410

Properties of LCM 565 and 570

(i) The LCM of 570 and 565 is associative

LCM of 565 and 570 = LCM of 570 and 565

Related Least Common Multiples of 565

Related Least Common Multiples of 570

Frequently Asked Questions on LCM of 565 and 570

1. What is the LCM of 565 and 570?

Answer: LCM of 565 and 570 is 64410.

2. What are the Factors of 565?

Answer: Factors of 565 are 1, 5, 113, 565. There are 4 integers that are factors of 565. The greatest factor of 565 is 565.

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 565 and 570?

Answer:

Least Common Multiple of 565 and 570 = 64410

Step 1: Find the prime factorization of 565

565 = 5 x 113

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 = 64410 = 2 x 3 x 5 x 19 x 113

Step 4: Therefore, the least common multiple of 565 and 570 is 64410.