Least Common Multiple of 5580 and 5584

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 5584 the smallest integer that is 7789680 that is divisible by both numbers.

Least Common Multiple (LCM) of 5580 and 5584 is 7789680.

LCM(5580,5584) = 7789680

LCM of 5580 and 5584

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

LCM of:
and

Least Common Multiple of 5580 and 5584

LCM of 5580 and 5584 is 7789680

Least common multiple can be found by multiplying the highest exponent prime factors of 5580 and 5584. First we will calculate the prime factors of 5580 and 5584.

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 5584


2 5584
2 2792
2 1396
2 698
349 349
1

Prime factors of 5584 are 2,349. Prime factorization of 5584 in exponential form is:

5584 = 24×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 5580 and 5584.

LCM(5580,5584) = 24×32×51×311×3491
LCM(5580,5584) = 7789680

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 5584

List of positive integer factors of 5584 that divides 5584 without a remainder.

1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584

Least Common Multiple of 5580 and 5584 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 5584, than apply into the LCM equation.

GCF(5580,5584) = 4
LCM(5580,5584) = ( 5580 × 5584) / 4
LCM(5580,5584) = 31158720 / 4
LCM(5580,5584) = 7789680

Properties of LCM 5580 and 5584

(i) The LCM of 5584 and 5580 is associative

LCM of 5580 and 5584 = LCM of 5584 and 5580

Related Least Common Multiples of 5580

Related Least Common Multiples of 5584

Frequently Asked Questions on LCM of 5580 and 5584

1. What is the LCM of 5580 and 5584?

Answer: LCM of 5580 and 5584 is 7789680.

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 5584?

Answer: Factors of 5584 are 1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584. There are 10 integers that are factors of 5584. The greatest factor of 5584 is 5584.

4. How to Find the LCM of 5580 and 5584?

Answer:

Least Common Multiple of 5580 and 5584 = 7789680

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 5584

5584 = 2 x 2 x 2 x 2 x 349

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

LCM = 7789680 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 31 x 349

Step 4: Therefore, the least common multiple of 5580 and 5584 is 7789680.