Least Common Multiple of 3581 and 3588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3581 and 3588 the smallest integer that is 12848628 that is divisible by both numbers.

Least Common Multiple (LCM) of 3581 and 3588 is 12848628.

LCM(3581,3588) = 12848628

LCM of 3581 and 3588

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

LCM of:
and

Least Common Multiple of 3581 and 3588

LCM of 3581 and 3588 is 12848628

Least common multiple can be found by multiplying the highest exponent prime factors of 3581 and 3588. First we will calculate the prime factors of 3581 and 3588.

Prime Factorization of 3581


3581 3581
1

Prime factors of 3581 are 3581. Prime factorization of 3581 in exponential form is:

3581 = 35811

Prime Factorization of 3588


2 3588
2 1794
3 897
13 299
23 23
1

Prime factors of 3588 are 2, 3, 13,23. Prime factorization of 3588 in exponential form is:

3588 = 22×31×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3581 and 3588.

LCM(3581,3588) = 22×31×131×231×35811
LCM(3581,3588) = 12848628

Factors of 3581

List of positive integer factors of 3581 that divides 3581 without a remainder.

1, 3581

Factors of 3588

List of positive integer factors of 3588 that divides 3588 without a remainder.

1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588

Least Common Multiple of 3581 and 3588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3581 and 3588, than apply into the LCM equation.

GCF(3581,3588) = 1
LCM(3581,3588) = ( 3581 × 3588) / 1
LCM(3581,3588) = 12848628 / 1
LCM(3581,3588) = 12848628

Properties of LCM 3581 and 3588

(i) The LCM of 3588 and 3581 is associative

LCM of 3581 and 3588 = LCM of 3588 and 3581

Related Least Common Multiples of 3581

Related Least Common Multiples of 3588

Frequently Asked Questions on LCM of 3581 and 3588

1. What is the LCM of 3581 and 3588?

Answer: LCM of 3581 and 3588 is 12848628.

2. What are the Factors of 3581?

Answer: Factors of 3581 are 1, 3581. There are 2 integers that are factors of 3581. The greatest factor of 3581 is 3581.

3. What are the Factors of 3588?

Answer: Factors of 3588 are 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588. There are 24 integers that are factors of 3588. The greatest factor of 3588 is 3588.

4. How to Find the LCM of 3581 and 3588?

Answer:

Least Common Multiple of 3581 and 3588 = 12848628

Step 1: Find the prime factorization of 3581

3581 = 3581

Step 2: Find the prime factorization of 3588

3588 = 2 x 2 x 3 x 13 x 23

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

LCM = 12848628 = 2 x 2 x 3 x 13 x 23 x 3581

Step 4: Therefore, the least common multiple of 3581 and 3588 is 12848628.