Least Common Multiple of 5580 and 5585

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 5585 the smallest integer that is 6232860 that is divisible by both numbers.

Least Common Multiple (LCM) of 5580 and 5585 is 6232860.

LCM(5580,5585) = 6232860

LCM of 5580 and 5585

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

LCM of:
and

Least Common Multiple of 5580 and 5585

LCM of 5580 and 5585 is 6232860

Least common multiple can be found by multiplying the highest exponent prime factors of 5580 and 5585. First we will calculate the prime factors of 5580 and 5585.

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 5585


5 5585
1117 1117
1

Prime factors of 5585 are 5,1117. Prime factorization of 5585 in exponential form is:

5585 = 51×11171

Now multiplying the highest exponent prime factors to calculate the LCM of 5580 and 5585.

LCM(5580,5585) = 22×32×51×311×11171
LCM(5580,5585) = 6232860

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 5585

List of positive integer factors of 5585 that divides 5585 without a remainder.

1, 5, 1117, 5585

Least Common Multiple of 5580 and 5585 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 5585, than apply into the LCM equation.

GCF(5580,5585) = 5
LCM(5580,5585) = ( 5580 × 5585) / 5
LCM(5580,5585) = 31164300 / 5
LCM(5580,5585) = 6232860

Properties of LCM 5580 and 5585

(i) The LCM of 5585 and 5580 is associative

LCM of 5580 and 5585 = LCM of 5585 and 5580

Related Least Common Multiples of 5580

Related Least Common Multiples of 5585

Frequently Asked Questions on LCM of 5580 and 5585

1. What is the LCM of 5580 and 5585?

Answer: LCM of 5580 and 5585 is 6232860.

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 5585?

Answer: Factors of 5585 are 1, 5, 1117, 5585. There are 4 integers that are factors of 5585. The greatest factor of 5585 is 5585.

4. How to Find the LCM of 5580 and 5585?

Answer:

Least Common Multiple of 5580 and 5585 = 6232860

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 5585

5585 = 5 x 1117

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

LCM = 6232860 = 2 x 2 x 3 x 3 x 5 x 31 x 1117

Step 4: Therefore, the least common multiple of 5580 and 5585 is 6232860.