Least Common Multiple of 3565 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 3565 and 3570 the smallest integer that is 2545410 that is divisible by both numbers.

Least Common Multiple (LCM) of 3565 and 3570 is 2545410.

LCM(3565,3570) = 2545410

LCM of 3565 and 3570

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

LCM of:
and

Least Common Multiple of 3565 and 3570

LCM of 3565 and 3570 is 2545410

Least common multiple can be found by multiplying the highest exponent prime factors of 3565 and 3570. First we will calculate the prime factors of 3565 and 3570.

Prime Factorization of 3565


5 3565
23 713
31 31
1

Prime factors of 3565 are 5, 23,31. Prime factorization of 3565 in exponential form is:

3565 = 51×231×311

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 3565 and 3570.

LCM(3565,3570) = 21×31×51×71×171×231×311
LCM(3565,3570) = 2545410

Factors of 3565

List of positive integer factors of 3565 that divides 3565 without a remainder.

1, 5, 23, 31, 115, 155, 713, 3565

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 3565 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 3565 and 3570, than apply into the LCM equation.

GCF(3565,3570) = 5
LCM(3565,3570) = ( 3565 × 3570) / 5
LCM(3565,3570) = 12727050 / 5
LCM(3565,3570) = 2545410

Properties of LCM 3565 and 3570

(i) The LCM of 3570 and 3565 is associative

LCM of 3565 and 3570 = LCM of 3570 and 3565

Related Least Common Multiples of 3565

Related Least Common Multiples of 3570

Frequently Asked Questions on LCM of 3565 and 3570

1. What is the LCM of 3565 and 3570?

Answer: LCM of 3565 and 3570 is 2545410.

2. What are the Factors of 3565?

Answer: Factors of 3565 are 1, 5, 23, 31, 115, 155, 713, 3565. There are 8 integers that are factors of 3565. The greatest factor of 3565 is 3565.

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 3565 and 3570?

Answer:

Least Common Multiple of 3565 and 3570 = 2545410

Step 1: Find the prime factorization of 3565

3565 = 5 x 23 x 31

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 = 2545410 = 2 x 3 x 5 x 7 x 17 x 23 x 31

Step 4: Therefore, the least common multiple of 3565 and 3570 is 2545410.