Least Common Multiple of 5580 and 5582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5580 and 5582 the smallest integer that is 15573780 that is divisible by both numbers.

Least Common Multiple (LCM) of 5580 and 5582 is 15573780.

LCM(5580,5582) = 15573780

LCM of 5580 and 5582

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

LCM of:
and

Least Common Multiple of 5580 and 5582

LCM of 5580 and 5582 is 15573780

Least common multiple can be found by multiplying the highest exponent prime factors of 5580 and 5582. First we will calculate the prime factors of 5580 and 5582.

Prime Factorization of 5580


2 5580
2 2790
3 1395
3 465
5 155
31 31
1

Prime factors of 5580 are 2, 3, 5,31. Prime factorization of 5580 in exponential form is:

5580 = 22×32×51×311

Prime Factorization of 5582


2 5582
2791 2791
1

Prime factors of 5582 are 2,2791. Prime factorization of 5582 in exponential form is:

5582 = 21×27911

Now multiplying the highest exponent prime factors to calculate the LCM of 5580 and 5582.

LCM(5580,5582) = 22×32×51×311×27911
LCM(5580,5582) = 15573780

Factors of 5580

List of positive integer factors of 5580 that divides 5580 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 31, 36, 45, 60, 62, 90, 93, 124, 155, 180, 186, 279, 310, 372, 465, 558, 620, 930, 1116, 1395, 1860, 2790, 5580

Factors of 5582

List of positive integer factors of 5582 that divides 5582 without a remainder.

1, 2, 2791, 5582

Least Common Multiple of 5580 and 5582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5580 and 5582, than apply into the LCM equation.

GCF(5580,5582) = 2
LCM(5580,5582) = ( 5580 × 5582) / 2
LCM(5580,5582) = 31147560 / 2
LCM(5580,5582) = 15573780

Properties of LCM 5580 and 5582

(i) The LCM of 5582 and 5580 is associative

LCM of 5580 and 5582 = LCM of 5582 and 5580

Related Least Common Multiples of 5580

Related Least Common Multiples of 5582

Frequently Asked Questions on LCM of 5580 and 5582

1. What is the LCM of 5580 and 5582?

Answer: LCM of 5580 and 5582 is 15573780.

2. What are the Factors of 5580?

Answer: Factors of 5580 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 31, 36, 45, 60, 62, 90, 93, 124, 155, 180, 186, 279, 310, 372, 465, 558, 620, 930, 1116, 1395, 1860, 2790, 5580. There are 36 integers that are factors of 5580. The greatest factor of 5580 is 5580.

3. What are the Factors of 5582?

Answer: Factors of 5582 are 1, 2, 2791, 5582. There are 4 integers that are factors of 5582. The greatest factor of 5582 is 5582.

4. How to Find the LCM of 5580 and 5582?

Answer:

Least Common Multiple of 5580 and 5582 = 15573780

Step 1: Find the prime factorization of 5580

5580 = 2 x 2 x 3 x 3 x 5 x 31

Step 2: Find the prime factorization of 5582

5582 = 2 x 2791

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

LCM = 15573780 = 2 x 2 x 3 x 3 x 5 x 31 x 2791

Step 4: Therefore, the least common multiple of 5580 and 5582 is 15573780.