Least Common Multiple of 3566 and 3570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3566 and 3570 the smallest integer that is 6365310 that is divisible by both numbers.

Least Common Multiple (LCM) of 3566 and 3570 is 6365310.

LCM(3566,3570) = 6365310

LCM of 3566 and 3570

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

LCM of:
and

Least Common Multiple of 3566 and 3570

LCM of 3566 and 3570 is 6365310

Least common multiple can be found by multiplying the highest exponent prime factors of 3566 and 3570. First we will calculate the prime factors of 3566 and 3570.

Prime Factorization of 3566


2 3566
1783 1783
1

Prime factors of 3566 are 2,1783. Prime factorization of 3566 in exponential form is:

3566 = 21×17831

Prime Factorization of 3570


2 3570
3 1785
5 595
7 119
17 17
1

Prime factors of 3570 are 2, 3, 5, 7,17. Prime factorization of 3570 in exponential form is:

3570 = 21×31×51×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3566 and 3570.

LCM(3566,3570) = 21×31×51×71×171×17831
LCM(3566,3570) = 6365310

Factors of 3566

List of positive integer factors of 3566 that divides 3566 without a remainder.

1, 2, 1783, 3566

Factors of 3570

List of positive integer factors of 3570 that divides 3570 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785, 3570

Least Common Multiple of 3566 and 3570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3566 and 3570, than apply into the LCM equation.

GCF(3566,3570) = 2
LCM(3566,3570) = ( 3566 × 3570) / 2
LCM(3566,3570) = 12730620 / 2
LCM(3566,3570) = 6365310

Properties of LCM 3566 and 3570

(i) The LCM of 3570 and 3566 is associative

LCM of 3566 and 3570 = LCM of 3570 and 3566

Related Least Common Multiples of 3566

Related Least Common Multiples of 3570

Frequently Asked Questions on LCM of 3566 and 3570

1. What is the LCM of 3566 and 3570?

Answer: LCM of 3566 and 3570 is 6365310.

2. What are the Factors of 3566?

Answer: Factors of 3566 are 1, 2, 1783, 3566. There are 4 integers that are factors of 3566. The greatest factor of 3566 is 3566.

3. What are the Factors of 3570?

Answer: Factors of 3570 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785, 3570. There are 32 integers that are factors of 3570. The greatest factor of 3570 is 3570.

4. How to Find the LCM of 3566 and 3570?

Answer:

Least Common Multiple of 3566 and 3570 = 6365310

Step 1: Find the prime factorization of 3566

3566 = 2 x 1783

Step 2: Find the prime factorization of 3570

3570 = 2 x 3 x 5 x 7 x 17

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

LCM = 6365310 = 2 x 3 x 5 x 7 x 17 x 1783

Step 4: Therefore, the least common multiple of 3566 and 3570 is 6365310.