Least Common Multiple of 3583 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 3583 and 3588 the smallest integer that is 12855804 that is divisible by both numbers.

Least Common Multiple (LCM) of 3583 and 3588 is 12855804.

LCM(3583,3588) = 12855804

LCM of 3583 and 3588

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

LCM of:
and

Least Common Multiple of 3583 and 3588

LCM of 3583 and 3588 is 12855804

Least common multiple can be found by multiplying the highest exponent prime factors of 3583 and 3588. First we will calculate the prime factors of 3583 and 3588.

Prime Factorization of 3583


3583 3583
1

Prime factors of 3583 are 3583. Prime factorization of 3583 in exponential form is:

3583 = 35831

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 3583 and 3588.

LCM(3583,3588) = 22×31×131×231×35831
LCM(3583,3588) = 12855804

Factors of 3583

List of positive integer factors of 3583 that divides 3583 without a remainder.

1, 3583

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 3583 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 3583 and 3588, than apply into the LCM equation.

GCF(3583,3588) = 1
LCM(3583,3588) = ( 3583 × 3588) / 1
LCM(3583,3588) = 12855804 / 1
LCM(3583,3588) = 12855804

Properties of LCM 3583 and 3588

(i) The LCM of 3588 and 3583 is associative

LCM of 3583 and 3588 = LCM of 3588 and 3583

Related Least Common Multiples of 3583

Related Least Common Multiples of 3588

Frequently Asked Questions on LCM of 3583 and 3588

1. What is the LCM of 3583 and 3588?

Answer: LCM of 3583 and 3588 is 12855804.

2. What are the Factors of 3583?

Answer: Factors of 3583 are 1, 3583. There are 2 integers that are factors of 3583. The greatest factor of 3583 is 3583.

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 3583 and 3588?

Answer:

Least Common Multiple of 3583 and 3588 = 12855804

Step 1: Find the prime factorization of 3583

3583 = 3583

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 = 12855804 = 2 x 2 x 3 x 13 x 23 x 3583

Step 4: Therefore, the least common multiple of 3583 and 3588 is 12855804.