Least Common Multiple of 5590 and 5596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5590 and 5596 the smallest integer that is 15640820 that is divisible by both numbers.

Least Common Multiple (LCM) of 5590 and 5596 is 15640820.

LCM(5590,5596) = 15640820

LCM of 5590 and 5596

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

LCM of:
and

Least Common Multiple of 5590 and 5596

LCM of 5590 and 5596 is 15640820

Least common multiple can be found by multiplying the highest exponent prime factors of 5590 and 5596. First we will calculate the prime factors of 5590 and 5596.

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

Prime Factorization of 5596


2 5596
2 2798
1399 1399
1

Prime factors of 5596 are 2,1399. Prime factorization of 5596 in exponential form is:

5596 = 22×13991

Now multiplying the highest exponent prime factors to calculate the LCM of 5590 and 5596.

LCM(5590,5596) = 22×51×131×431×13991
LCM(5590,5596) = 15640820

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

Factors of 5596

List of positive integer factors of 5596 that divides 5596 without a remainder.

1, 2, 4, 1399, 2798, 5596

Least Common Multiple of 5590 and 5596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5590 and 5596, than apply into the LCM equation.

GCF(5590,5596) = 2
LCM(5590,5596) = ( 5590 × 5596) / 2
LCM(5590,5596) = 31281640 / 2
LCM(5590,5596) = 15640820

Properties of LCM 5590 and 5596

(i) The LCM of 5596 and 5590 is associative

LCM of 5590 and 5596 = LCM of 5596 and 5590

Related Least Common Multiples of 5590

Related Least Common Multiples of 5596

Frequently Asked Questions on LCM of 5590 and 5596

1. What is the LCM of 5590 and 5596?

Answer: LCM of 5590 and 5596 is 15640820.

2. 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.

3. What are the Factors of 5596?

Answer: Factors of 5596 are 1, 2, 4, 1399, 2798, 5596. There are 6 integers that are factors of 5596. The greatest factor of 5596 is 5596.

4. How to Find the LCM of 5590 and 5596?

Answer:

Least Common Multiple of 5590 and 5596 = 15640820

Step 1: Find the prime factorization of 5590

5590 = 2 x 5 x 13 x 43

Step 2: Find the prime factorization of 5596

5596 = 2 x 2 x 1399

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

LCM = 15640820 = 2 x 2 x 5 x 13 x 43 x 1399

Step 4: Therefore, the least common multiple of 5590 and 5596 is 15640820.