Least Common Multiple of 3586 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 3586 and 3591 the smallest integer that is 12877326 that is divisible by both numbers.

Least Common Multiple (LCM) of 3586 and 3591 is 12877326.

LCM(3586,3591) = 12877326

LCM of 3586 and 3591

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

LCM of:
and

Least Common Multiple of 3586 and 3591

LCM of 3586 and 3591 is 12877326

Least common multiple can be found by multiplying the highest exponent prime factors of 3586 and 3591. First we will calculate the prime factors of 3586 and 3591.

Prime Factorization of 3586


2 3586
11 1793
163 163
1

Prime factors of 3586 are 2, 11,163. Prime factorization of 3586 in exponential form is:

3586 = 21×111×1631

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 3586 and 3591.

LCM(3586,3591) = 21×33×71×111×191×1631
LCM(3586,3591) = 12877326

Factors of 3586

List of positive integer factors of 3586 that divides 3586 without a remainder.

1, 2, 11, 22, 163, 326, 1793, 3586

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 3586 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 3586 and 3591, than apply into the LCM equation.

GCF(3586,3591) = 1
LCM(3586,3591) = ( 3586 × 3591) / 1
LCM(3586,3591) = 12877326 / 1
LCM(3586,3591) = 12877326

Properties of LCM 3586 and 3591

(i) The LCM of 3591 and 3586 is associative

LCM of 3586 and 3591 = LCM of 3591 and 3586

Related Least Common Multiples of 3586

Related Least Common Multiples of 3591

Frequently Asked Questions on LCM of 3586 and 3591

1. What is the LCM of 3586 and 3591?

Answer: LCM of 3586 and 3591 is 12877326.

2. What are the Factors of 3586?

Answer: Factors of 3586 are 1, 2, 11, 22, 163, 326, 1793, 3586. There are 8 integers that are factors of 3586. The greatest factor of 3586 is 3586.

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 3586 and 3591?

Answer:

Least Common Multiple of 3586 and 3591 = 12877326

Step 1: Find the prime factorization of 3586

3586 = 2 x 11 x 163

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 = 12877326 = 2 x 3 x 3 x 3 x 7 x 11 x 19 x 163

Step 4: Therefore, the least common multiple of 3586 and 3591 is 12877326.