Least Common Multiple of 3588 and 3596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3588 and 3596 the smallest integer that is 3225612 that is divisible by both numbers.

Least Common Multiple (LCM) of 3588 and 3596 is 3225612.

LCM(3588,3596) = 3225612

LCM of 3588 and 3596

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

LCM of:
and

Least Common Multiple of 3588 and 3596

LCM of 3588 and 3596 is 3225612

Least common multiple can be found by multiplying the highest exponent prime factors of 3588 and 3596. First we will calculate the prime factors of 3588 and 3596.

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

Prime Factorization of 3596


2 3596
2 1798
29 899
31 31
1

Prime factors of 3596 are 2, 29,31. Prime factorization of 3596 in exponential form is:

3596 = 22×291×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3588 and 3596.

LCM(3588,3596) = 22×31×131×231×291×311
LCM(3588,3596) = 3225612

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

Factors of 3596

List of positive integer factors of 3596 that divides 3596 without a remainder.

1, 2, 4, 29, 31, 58, 62, 116, 124, 899, 1798, 3596

Least Common Multiple of 3588 and 3596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3588 and 3596, than apply into the LCM equation.

GCF(3588,3596) = 4
LCM(3588,3596) = ( 3588 × 3596) / 4
LCM(3588,3596) = 12902448 / 4
LCM(3588,3596) = 3225612

Properties of LCM 3588 and 3596

(i) The LCM of 3596 and 3588 is associative

LCM of 3588 and 3596 = LCM of 3596 and 3588

Related Least Common Multiples of 3588

Related Least Common Multiples of 3596

Frequently Asked Questions on LCM of 3588 and 3596

1. What is the LCM of 3588 and 3596?

Answer: LCM of 3588 and 3596 is 3225612.

2. 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.

3. What are the Factors of 3596?

Answer: Factors of 3596 are 1, 2, 4, 29, 31, 58, 62, 116, 124, 899, 1798, 3596. There are 12 integers that are factors of 3596. The greatest factor of 3596 is 3596.

4. How to Find the LCM of 3588 and 3596?

Answer:

Least Common Multiple of 3588 and 3596 = 3225612

Step 1: Find the prime factorization of 3588

3588 = 2 x 2 x 3 x 13 x 23

Step 2: Find the prime factorization of 3596

3596 = 2 x 2 x 29 x 31

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

LCM = 3225612 = 2 x 2 x 3 x 13 x 23 x 29 x 31

Step 4: Therefore, the least common multiple of 3588 and 3596 is 3225612.