Least Common Multiple of 5583 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 5583 and 5588 the smallest integer that is 31197804 that is divisible by both numbers.

Least Common Multiple (LCM) of 5583 and 5588 is 31197804.

LCM(5583,5588) = 31197804

LCM of 5583 and 5588

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

LCM of:
and

Least Common Multiple of 5583 and 5588

LCM of 5583 and 5588 is 31197804

Least common multiple can be found by multiplying the highest exponent prime factors of 5583 and 5588. First we will calculate the prime factors of 5583 and 5588.

Prime Factorization of 5583


3 5583
1861 1861
1

Prime factors of 5583 are 3,1861. Prime factorization of 5583 in exponential form is:

5583 = 31×18611

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 5583 and 5588.

LCM(5583,5588) = 22×31×111×1271×18611
LCM(5583,5588) = 31197804

Factors of 5583

List of positive integer factors of 5583 that divides 5583 without a remainder.

1, 3, 1861, 5583

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 5583 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 5583 and 5588, than apply into the LCM equation.

GCF(5583,5588) = 1
LCM(5583,5588) = ( 5583 × 5588) / 1
LCM(5583,5588) = 31197804 / 1
LCM(5583,5588) = 31197804

Properties of LCM 5583 and 5588

(i) The LCM of 5588 and 5583 is associative

LCM of 5583 and 5588 = LCM of 5588 and 5583

Related Least Common Multiples of 5583

Related Least Common Multiples of 5588

Frequently Asked Questions on LCM of 5583 and 5588

1. What is the LCM of 5583 and 5588?

Answer: LCM of 5583 and 5588 is 31197804.

2. What are the Factors of 5583?

Answer: Factors of 5583 are 1, 3, 1861, 5583. There are 4 integers that are factors of 5583. The greatest factor of 5583 is 5583.

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 5583 and 5588?

Answer:

Least Common Multiple of 5583 and 5588 = 31197804

Step 1: Find the prime factorization of 5583

5583 = 3 x 1861

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 = 31197804 = 2 x 2 x 3 x 11 x 127 x 1861

Step 4: Therefore, the least common multiple of 5583 and 5588 is 31197804.