Least Common Multiple of 3578 and 3579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3578 and 3579 the smallest integer that is 12805662 that is divisible by both numbers.

Least Common Multiple (LCM) of 3578 and 3579 is 12805662.

LCM(3578,3579) = 12805662

LCM of 3578 and 3579

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

LCM of:
and

Least Common Multiple of 3578 and 3579

LCM of 3578 and 3579 is 12805662

Least common multiple can be found by multiplying the highest exponent prime factors of 3578 and 3579. First we will calculate the prime factors of 3578 and 3579.

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

Prime Factorization of 3579


3 3579
1193 1193
1

Prime factors of 3579 are 3,1193. Prime factorization of 3579 in exponential form is:

3579 = 31×11931

Now multiplying the highest exponent prime factors to calculate the LCM of 3578 and 3579.

LCM(3578,3579) = 21×31×11931×17891
LCM(3578,3579) = 12805662

Factors of 3578

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

1, 2, 1789, 3578

Factors of 3579

List of positive integer factors of 3579 that divides 3579 without a remainder.

1, 3, 1193, 3579

Least Common Multiple of 3578 and 3579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3578 and 3579, than apply into the LCM equation.

GCF(3578,3579) = 1
LCM(3578,3579) = ( 3578 × 3579) / 1
LCM(3578,3579) = 12805662 / 1
LCM(3578,3579) = 12805662

Properties of LCM 3578 and 3579

(i) The LCM of 3579 and 3578 is associative

LCM of 3578 and 3579 = LCM of 3579 and 3578

Related Least Common Multiples of 3578

Related Least Common Multiples of 3579

Frequently Asked Questions on LCM of 3578 and 3579

1. What is the LCM of 3578 and 3579?

Answer: LCM of 3578 and 3579 is 12805662.

2. 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.

3. What are the Factors of 3579?

Answer: Factors of 3579 are 1, 3, 1193, 3579. There are 4 integers that are factors of 3579. The greatest factor of 3579 is 3579.

4. How to Find the LCM of 3578 and 3579?

Answer:

Least Common Multiple of 3578 and 3579 = 12805662

Step 1: Find the prime factorization of 3578

3578 = 2 x 1789

Step 2: Find the prime factorization of 3579

3579 = 3 x 1193

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

LCM = 12805662 = 2 x 3 x 1193 x 1789

Step 4: Therefore, the least common multiple of 3578 and 3579 is 12805662.