Least Common Multiple of 5580 and 5586

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 5586 the smallest integer that is 5194980 that is divisible by both numbers.

Least Common Multiple (LCM) of 5580 and 5586 is 5194980.

LCM(5580,5586) = 5194980

LCM of 5580 and 5586

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

LCM of:
and

Least Common Multiple of 5580 and 5586

LCM of 5580 and 5586 is 5194980

Least common multiple can be found by multiplying the highest exponent prime factors of 5580 and 5586. First we will calculate the prime factors of 5580 and 5586.

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 5586


2 5586
3 2793
7 931
7 133
19 19
1

Prime factors of 5586 are 2, 3, 7,19. Prime factorization of 5586 in exponential form is:

5586 = 21×31×72×191

Now multiplying the highest exponent prime factors to calculate the LCM of 5580 and 5586.

LCM(5580,5586) = 22×32×51×72×191×311
LCM(5580,5586) = 5194980

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 5586

List of positive integer factors of 5586 that divides 5586 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 49, 57, 98, 114, 133, 147, 266, 294, 399, 798, 931, 1862, 2793, 5586

Least Common Multiple of 5580 and 5586 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 5586, than apply into the LCM equation.

GCF(5580,5586) = 6
LCM(5580,5586) = ( 5580 × 5586) / 6
LCM(5580,5586) = 31169880 / 6
LCM(5580,5586) = 5194980

Properties of LCM 5580 and 5586

(i) The LCM of 5586 and 5580 is associative

LCM of 5580 and 5586 = LCM of 5586 and 5580

Related Least Common Multiples of 5580

Related Least Common Multiples of 5586

Frequently Asked Questions on LCM of 5580 and 5586

1. What is the LCM of 5580 and 5586?

Answer: LCM of 5580 and 5586 is 5194980.

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 5586?

Answer: Factors of 5586 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 49, 57, 98, 114, 133, 147, 266, 294, 399, 798, 931, 1862, 2793, 5586. There are 24 integers that are factors of 5586. The greatest factor of 5586 is 5586.

4. How to Find the LCM of 5580 and 5586?

Answer:

Least Common Multiple of 5580 and 5586 = 5194980

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 5586

5586 = 2 x 3 x 7 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 = 5194980 = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 19 x 31

Step 4: Therefore, the least common multiple of 5580 and 5586 is 5194980.