Least Common Multiple of 5580 and 5588

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 5588 the smallest integer that is 7795260 that is divisible by both numbers.

Least Common Multiple (LCM) of 5580 and 5588 is 7795260.

LCM(5580,5588) = 7795260

LCM of 5580 and 5588

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

LCM of:
and

Least Common Multiple of 5580 and 5588

LCM of 5580 and 5588 is 7795260

Least common multiple can be found by multiplying the highest exponent prime factors of 5580 and 5588. First we will calculate the prime factors of 5580 and 5588.

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 5588


2 5588
2 2794
11 1397
127 127
1

Prime factors of 5588 are 2, 11,127. Prime factorization of 5588 in exponential form is:

5588 = 22×111×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 5580 and 5588.

LCM(5580,5588) = 22×32×51×111×311×1271
LCM(5580,5588) = 7795260

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 5588

List of positive integer factors of 5588 that divides 5588 without a remainder.

1, 2, 4, 11, 22, 44, 127, 254, 508, 1397, 2794, 5588

Least Common Multiple of 5580 and 5588 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 5588, than apply into the LCM equation.

GCF(5580,5588) = 4
LCM(5580,5588) = ( 5580 × 5588) / 4
LCM(5580,5588) = 31181040 / 4
LCM(5580,5588) = 7795260

Properties of LCM 5580 and 5588

(i) The LCM of 5588 and 5580 is associative

LCM of 5580 and 5588 = LCM of 5588 and 5580

Related Least Common Multiples of 5580

Related Least Common Multiples of 5588

Frequently Asked Questions on LCM of 5580 and 5588

1. What is the LCM of 5580 and 5588?

Answer: LCM of 5580 and 5588 is 7795260.

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 5588?

Answer: Factors of 5588 are 1, 2, 4, 11, 22, 44, 127, 254, 508, 1397, 2794, 5588. There are 12 integers that are factors of 5588. The greatest factor of 5588 is 5588.

4. How to Find the LCM of 5580 and 5588?

Answer:

Least Common Multiple of 5580 and 5588 = 7795260

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 5588

5588 = 2 x 2 x 11 x 127

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

LCM = 7795260 = 2 x 2 x 3 x 3 x 5 x 11 x 31 x 127

Step 4: Therefore, the least common multiple of 5580 and 5588 is 7795260.