Least Common Multiple of 3570 and 3578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3570 and 3578 the smallest integer that is 6386730 that is divisible by both numbers.

Least Common Multiple (LCM) of 3570 and 3578 is 6386730.

LCM(3570,3578) = 6386730

LCM of 3570 and 3578

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

LCM of:
and

Least Common Multiple of 3570 and 3578

LCM of 3570 and 3578 is 6386730

Least common multiple can be found by multiplying the highest exponent prime factors of 3570 and 3578. First we will calculate the prime factors of 3570 and 3578.

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

Prime Factorization of 3578


2 3578
1789 1789
1

Prime factors of 3578 are 2,1789. Prime factorization of 3578 in exponential form is:

3578 = 21×17891

Now multiplying the highest exponent prime factors to calculate the LCM of 3570 and 3578.

LCM(3570,3578) = 21×31×51×71×171×17891
LCM(3570,3578) = 6386730

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

Factors of 3578

List of positive integer factors of 3578 that divides 3578 without a remainder.

1, 2, 1789, 3578

Least Common Multiple of 3570 and 3578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3570 and 3578, than apply into the LCM equation.

GCF(3570,3578) = 2
LCM(3570,3578) = ( 3570 × 3578) / 2
LCM(3570,3578) = 12773460 / 2
LCM(3570,3578) = 6386730

Properties of LCM 3570 and 3578

(i) The LCM of 3578 and 3570 is associative

LCM of 3570 and 3578 = LCM of 3578 and 3570

Related Least Common Multiples of 3570

Related Least Common Multiples of 3578

Frequently Asked Questions on LCM of 3570 and 3578

1. What is the LCM of 3570 and 3578?

Answer: LCM of 3570 and 3578 is 6386730.

2. 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.

3. What are the Factors of 3578?

Answer: Factors of 3578 are 1, 2, 1789, 3578. There are 4 integers that are factors of 3578. The greatest factor of 3578 is 3578.

4. How to Find the LCM of 3570 and 3578?

Answer:

Least Common Multiple of 3570 and 3578 = 6386730

Step 1: Find the prime factorization of 3570

3570 = 2 x 3 x 5 x 7 x 17

Step 2: Find the prime factorization of 3578

3578 = 2 x 1789

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

LCM = 6386730 = 2 x 3 x 5 x 7 x 17 x 1789

Step 4: Therefore, the least common multiple of 3570 and 3578 is 6386730.