Least Common Multiple of 3583 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 3583 and 3591 the smallest integer that is 12866553 that is divisible by both numbers.

Least Common Multiple (LCM) of 3583 and 3591 is 12866553.

LCM(3583,3591) = 12866553

LCM of 3583 and 3591

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

LCM of:
and

Least Common Multiple of 3583 and 3591

LCM of 3583 and 3591 is 12866553

Least common multiple can be found by multiplying the highest exponent prime factors of 3583 and 3591. First we will calculate the prime factors of 3583 and 3591.

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 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 3583 and 3591.

LCM(3583,3591) = 33×71×191×35831
LCM(3583,3591) = 12866553

Factors of 3583

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

1, 3583

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 3583 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 3583 and 3591, than apply into the LCM equation.

GCF(3583,3591) = 1
LCM(3583,3591) = ( 3583 × 3591) / 1
LCM(3583,3591) = 12866553 / 1
LCM(3583,3591) = 12866553

Properties of LCM 3583 and 3591

(i) The LCM of 3591 and 3583 is associative

LCM of 3583 and 3591 = LCM of 3591 and 3583

Related Least Common Multiples of 3583

Related Least Common Multiples of 3591

Frequently Asked Questions on LCM of 3583 and 3591

1. What is the LCM of 3583 and 3591?

Answer: LCM of 3583 and 3591 is 12866553.

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 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 3583 and 3591?

Answer:

Least Common Multiple of 3583 and 3591 = 12866553

Step 1: Find the prime factorization of 3583

3583 = 3583

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 = 12866553 = 3 x 3 x 3 x 7 x 19 x 3583

Step 4: Therefore, the least common multiple of 3583 and 3591 is 12866553.