Least Common Multiple of 3588 and 3591

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 3591 the smallest integer that is 4294836 that is divisible by both numbers.

Least Common Multiple (LCM) of 3588 and 3591 is 4294836.

LCM(3588,3591) = 4294836

LCM of 3588 and 3591

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

LCM of:
and

Least Common Multiple of 3588 and 3591

LCM of 3588 and 3591 is 4294836

Least common multiple can be found by multiplying the highest exponent prime factors of 3588 and 3591. First we will calculate the prime factors of 3588 and 3591.

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 3591


3 3591
3 1197
3 399
7 133
19 19
1

Prime factors of 3591 are 3, 7,19. Prime factorization of 3591 in exponential form is:

3591 = 33×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 3588 and 3591.

LCM(3588,3591) = 22×33×71×131×191×231
LCM(3588,3591) = 4294836

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 3591

List of positive integer factors of 3591 that divides 3591 without a remainder.

1, 3, 7, 9, 19, 21, 27, 57, 63, 133, 171, 189, 399, 513, 1197, 3591

Least Common Multiple of 3588 and 3591 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 3591, than apply into the LCM equation.

GCF(3588,3591) = 3
LCM(3588,3591) = ( 3588 × 3591) / 3
LCM(3588,3591) = 12884508 / 3
LCM(3588,3591) = 4294836

Properties of LCM 3588 and 3591

(i) The LCM of 3591 and 3588 is associative

LCM of 3588 and 3591 = LCM of 3591 and 3588

Related Least Common Multiples of 3588

Related Least Common Multiples of 3591

Frequently Asked Questions on LCM of 3588 and 3591

1. What is the LCM of 3588 and 3591?

Answer: LCM of 3588 and 3591 is 4294836.

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 3591?

Answer: Factors of 3591 are 1, 3, 7, 9, 19, 21, 27, 57, 63, 133, 171, 189, 399, 513, 1197, 3591. There are 16 integers that are factors of 3591. The greatest factor of 3591 is 3591.

4. How to Find the LCM of 3588 and 3591?

Answer:

Least Common Multiple of 3588 and 3591 = 4294836

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 3591

3591 = 3 x 3 x 3 x 7 x 19

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

LCM = 4294836 = 2 x 2 x 3 x 3 x 3 x 7 x 13 x 19 x 23

Step 4: Therefore, the least common multiple of 3588 and 3591 is 4294836.