Least Common Multiple of 8566 and 8570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8566 and 8570 the smallest integer that is 36705310 that is divisible by both numbers.

Least Common Multiple (LCM) of 8566 and 8570 is 36705310.

LCM(8566,8570) = 36705310

LCM of 8566 and 8570

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

LCM of:
and

Least Common Multiple of 8566 and 8570

LCM of 8566 and 8570 is 36705310

Least common multiple can be found by multiplying the highest exponent prime factors of 8566 and 8570. First we will calculate the prime factors of 8566 and 8570.

Prime Factorization of 8566


2 8566
4283 4283
1

Prime factors of 8566 are 2,4283. Prime factorization of 8566 in exponential form is:

8566 = 21×42831

Prime Factorization of 8570


2 8570
5 4285
857 857
1

Prime factors of 8570 are 2, 5,857. Prime factorization of 8570 in exponential form is:

8570 = 21×51×8571

Now multiplying the highest exponent prime factors to calculate the LCM of 8566 and 8570.

LCM(8566,8570) = 21×51×8571×42831
LCM(8566,8570) = 36705310

Factors of 8566

List of positive integer factors of 8566 that divides 8566 without a remainder.

1, 2, 4283, 8566

Factors of 8570

List of positive integer factors of 8570 that divides 8570 without a remainder.

1, 2, 5, 10, 857, 1714, 4285, 8570

Least Common Multiple of 8566 and 8570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8566 and 8570, than apply into the LCM equation.

GCF(8566,8570) = 2
LCM(8566,8570) = ( 8566 × 8570) / 2
LCM(8566,8570) = 73410620 / 2
LCM(8566,8570) = 36705310

Properties of LCM 8566 and 8570

(i) The LCM of 8570 and 8566 is associative

LCM of 8566 and 8570 = LCM of 8570 and 8566

Related Least Common Multiples of 8566

Related Least Common Multiples of 8570

Frequently Asked Questions on LCM of 8566 and 8570

1. What is the LCM of 8566 and 8570?

Answer: LCM of 8566 and 8570 is 36705310.

2. What are the Factors of 8566?

Answer: Factors of 8566 are 1, 2, 4283, 8566. There are 4 integers that are factors of 8566. The greatest factor of 8566 is 8566.

3. What are the Factors of 8570?

Answer: Factors of 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570. There are 8 integers that are factors of 8570. The greatest factor of 8570 is 8570.

4. How to Find the LCM of 8566 and 8570?

Answer:

Least Common Multiple of 8566 and 8570 = 36705310

Step 1: Find the prime factorization of 8566

8566 = 2 x 4283

Step 2: Find the prime factorization of 8570

8570 = 2 x 5 x 857

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

LCM = 36705310 = 2 x 5 x 857 x 4283

Step 4: Therefore, the least common multiple of 8566 and 8570 is 36705310.