Least Common Multiple of 5588 and 5594

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 5594 the smallest integer that is 15629636 that is divisible by both numbers.

Least Common Multiple (LCM) of 5588 and 5594 is 15629636.

LCM(5588,5594) = 15629636

LCM of 5588 and 5594

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

LCM of:
and

Least Common Multiple of 5588 and 5594

LCM of 5588 and 5594 is 15629636

Least common multiple can be found by multiplying the highest exponent prime factors of 5588 and 5594. First we will calculate the prime factors of 5588 and 5594.

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 5594


2 5594
2797 2797
1

Prime factors of 5594 are 2,2797. Prime factorization of 5594 in exponential form is:

5594 = 21×27971

Now multiplying the highest exponent prime factors to calculate the LCM of 5588 and 5594.

LCM(5588,5594) = 22×111×1271×27971
LCM(5588,5594) = 15629636

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 5594

List of positive integer factors of 5594 that divides 5594 without a remainder.

1, 2, 2797, 5594

Least Common Multiple of 5588 and 5594 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 5594, than apply into the LCM equation.

GCF(5588,5594) = 2
LCM(5588,5594) = ( 5588 × 5594) / 2
LCM(5588,5594) = 31259272 / 2
LCM(5588,5594) = 15629636

Properties of LCM 5588 and 5594

(i) The LCM of 5594 and 5588 is associative

LCM of 5588 and 5594 = LCM of 5594 and 5588

Related Least Common Multiples of 5588

Related Least Common Multiples of 5594

Frequently Asked Questions on LCM of 5588 and 5594

1. What is the LCM of 5588 and 5594?

Answer: LCM of 5588 and 5594 is 15629636.

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 5594?

Answer: Factors of 5594 are 1, 2, 2797, 5594. There are 4 integers that are factors of 5594. The greatest factor of 5594 is 5594.

4. How to Find the LCM of 5588 and 5594?

Answer:

Least Common Multiple of 5588 and 5594 = 15629636

Step 1: Find the prime factorization of 5588

5588 = 2 x 2 x 11 x 127

Step 2: Find the prime factorization of 5594

5594 = 2 x 2797

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

LCM = 15629636 = 2 x 2 x 11 x 127 x 2797

Step 4: Therefore, the least common multiple of 5588 and 5594 is 15629636.