Least Common Multiple of 5558 and 5564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5558 and 5564 the smallest integer that is 15462356 that is divisible by both numbers.

Least Common Multiple (LCM) of 5558 and 5564 is 15462356.

LCM(5558,5564) = 15462356

LCM of 5558 and 5564

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

LCM of:
and

Least Common Multiple of 5558 and 5564

LCM of 5558 and 5564 is 15462356

Least common multiple can be found by multiplying the highest exponent prime factors of 5558 and 5564. First we will calculate the prime factors of 5558 and 5564.

Prime Factorization of 5558


2 5558
7 2779
397 397
1

Prime factors of 5558 are 2, 7,397. Prime factorization of 5558 in exponential form is:

5558 = 21×71×3971

Prime Factorization of 5564


2 5564
2 2782
13 1391
107 107
1

Prime factors of 5564 are 2, 13,107. Prime factorization of 5564 in exponential form is:

5564 = 22×131×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 5558 and 5564.

LCM(5558,5564) = 22×71×131×1071×3971
LCM(5558,5564) = 15462356

Factors of 5558

List of positive integer factors of 5558 that divides 5558 without a remainder.

1, 2, 7, 14, 397, 794, 2779, 5558

Factors of 5564

List of positive integer factors of 5564 that divides 5564 without a remainder.

1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564

Least Common Multiple of 5558 and 5564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5558 and 5564, than apply into the LCM equation.

GCF(5558,5564) = 2
LCM(5558,5564) = ( 5558 × 5564) / 2
LCM(5558,5564) = 30924712 / 2
LCM(5558,5564) = 15462356

Properties of LCM 5558 and 5564

(i) The LCM of 5564 and 5558 is associative

LCM of 5558 and 5564 = LCM of 5564 and 5558

Related Least Common Multiples of 5558

Related Least Common Multiples of 5564

Frequently Asked Questions on LCM of 5558 and 5564

1. What is the LCM of 5558 and 5564?

Answer: LCM of 5558 and 5564 is 15462356.

2. What are the Factors of 5558?

Answer: Factors of 5558 are 1, 2, 7, 14, 397, 794, 2779, 5558. There are 8 integers that are factors of 5558. The greatest factor of 5558 is 5558.

3. What are the Factors of 5564?

Answer: Factors of 5564 are 1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564. There are 12 integers that are factors of 5564. The greatest factor of 5564 is 5564.

4. How to Find the LCM of 5558 and 5564?

Answer:

Least Common Multiple of 5558 and 5564 = 15462356

Step 1: Find the prime factorization of 5558

5558 = 2 x 7 x 397

Step 2: Find the prime factorization of 5564

5564 = 2 x 2 x 13 x 107

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

LCM = 15462356 = 2 x 2 x 7 x 13 x 107 x 397

Step 4: Therefore, the least common multiple of 5558 and 5564 is 15462356.