Least Common Multiple of 5584 and 5590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5584 and 5590 the smallest integer that is 15607280 that is divisible by both numbers.

Least Common Multiple (LCM) of 5584 and 5590 is 15607280.

LCM(5584,5590) = 15607280

LCM of 5584 and 5590

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

LCM of:
and

Least Common Multiple of 5584 and 5590

LCM of 5584 and 5590 is 15607280

Least common multiple can be found by multiplying the highest exponent prime factors of 5584 and 5590. First we will calculate the prime factors of 5584 and 5590.

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

Prime Factorization of 5590


2 5590
5 2795
13 559
43 43
1

Prime factors of 5590 are 2, 5, 13,43. Prime factorization of 5590 in exponential form is:

5590 = 21×51×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5584 and 5590.

LCM(5584,5590) = 24×51×131×431×3491
LCM(5584,5590) = 15607280

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

Factors of 5590

List of positive integer factors of 5590 that divides 5590 without a remainder.

1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590

Least Common Multiple of 5584 and 5590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5584 and 5590, than apply into the LCM equation.

GCF(5584,5590) = 2
LCM(5584,5590) = ( 5584 × 5590) / 2
LCM(5584,5590) = 31214560 / 2
LCM(5584,5590) = 15607280

Properties of LCM 5584 and 5590

(i) The LCM of 5590 and 5584 is associative

LCM of 5584 and 5590 = LCM of 5590 and 5584

Related Least Common Multiples of 5584

Related Least Common Multiples of 5590

Frequently Asked Questions on LCM of 5584 and 5590

1. What is the LCM of 5584 and 5590?

Answer: LCM of 5584 and 5590 is 15607280.

2. 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.

3. What are the Factors of 5590?

Answer: Factors of 5590 are 1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590. There are 16 integers that are factors of 5590. The greatest factor of 5590 is 5590.

4. How to Find the LCM of 5584 and 5590?

Answer:

Least Common Multiple of 5584 and 5590 = 15607280

Step 1: Find the prime factorization of 5584

5584 = 2 x 2 x 2 x 2 x 349

Step 2: Find the prime factorization of 5590

5590 = 2 x 5 x 13 x 43

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

LCM = 15607280 = 2 x 2 x 2 x 2 x 5 x 13 x 43 x 349

Step 4: Therefore, the least common multiple of 5584 and 5590 is 15607280.