Least Common Multiple of 5588 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 5588 and 5596 the smallest integer that is 7817612 that is divisible by both numbers.

Least Common Multiple (LCM) of 5588 and 5596 is 7817612.

LCM(5588,5596) = 7817612

LCM of 5588 and 5596

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

LCM of:
and

Least Common Multiple of 5588 and 5596

LCM of 5588 and 5596 is 7817612

Least common multiple can be found by multiplying the highest exponent prime factors of 5588 and 5596. First we will calculate the prime factors of 5588 and 5596.

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

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 5588 and 5596.

LCM(5588,5596) = 22×111×1271×13991
LCM(5588,5596) = 7817612

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

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 5588 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 5588 and 5596, than apply into the LCM equation.

GCF(5588,5596) = 4
LCM(5588,5596) = ( 5588 × 5596) / 4
LCM(5588,5596) = 31270448 / 4
LCM(5588,5596) = 7817612

Properties of LCM 5588 and 5596

(i) The LCM of 5596 and 5588 is associative

LCM of 5588 and 5596 = LCM of 5596 and 5588

Related Least Common Multiples of 5588

Related Least Common Multiples of 5596

Frequently Asked Questions on LCM of 5588 and 5596

1. What is the LCM of 5588 and 5596?

Answer: LCM of 5588 and 5596 is 7817612.

2. 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.

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 5588 and 5596?

Answer:

Least Common Multiple of 5588 and 5596 = 7817612

Step 1: Find the prime factorization of 5588

5588 = 2 x 2 x 11 x 127

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 = 7817612 = 2 x 2 x 11 x 127 x 1399

Step 4: Therefore, the least common multiple of 5588 and 5596 is 7817612.