Least Common Multiple of 5580 and 5587

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 5587 the smallest integer that is 31175460 that is divisible by both numbers.

Least Common Multiple (LCM) of 5580 and 5587 is 31175460.

LCM(5580,5587) = 31175460

LCM of 5580 and 5587

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

LCM of:
and

Least Common Multiple of 5580 and 5587

LCM of 5580 and 5587 is 31175460

Least common multiple can be found by multiplying the highest exponent prime factors of 5580 and 5587. First we will calculate the prime factors of 5580 and 5587.

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 5587


37 5587
151 151
1

Prime factors of 5587 are 37,151. Prime factorization of 5587 in exponential form is:

5587 = 371×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 5580 and 5587.

LCM(5580,5587) = 22×32×51×311×371×1511
LCM(5580,5587) = 31175460

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 5587

List of positive integer factors of 5587 that divides 5587 without a remainder.

1, 37, 151, 5587

Least Common Multiple of 5580 and 5587 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 5587, than apply into the LCM equation.

GCF(5580,5587) = 1
LCM(5580,5587) = ( 5580 × 5587) / 1
LCM(5580,5587) = 31175460 / 1
LCM(5580,5587) = 31175460

Properties of LCM 5580 and 5587

(i) The LCM of 5587 and 5580 is associative

LCM of 5580 and 5587 = LCM of 5587 and 5580

Related Least Common Multiples of 5580

Related Least Common Multiples of 5587

Frequently Asked Questions on LCM of 5580 and 5587

1. What is the LCM of 5580 and 5587?

Answer: LCM of 5580 and 5587 is 31175460.

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 5587?

Answer: Factors of 5587 are 1, 37, 151, 5587. There are 4 integers that are factors of 5587. The greatest factor of 5587 is 5587.

4. How to Find the LCM of 5580 and 5587?

Answer:

Least Common Multiple of 5580 and 5587 = 31175460

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 5587

5587 = 37 x 151

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

LCM = 31175460 = 2 x 2 x 3 x 3 x 5 x 31 x 37 x 151

Step 4: Therefore, the least common multiple of 5580 and 5587 is 31175460.