Least Common Multiple of 5557 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 5557 and 5564 the smallest integer that is 30919148 that is divisible by both numbers.

Least Common Multiple (LCM) of 5557 and 5564 is 30919148.

LCM(5557,5564) = 30919148

LCM of 5557 and 5564

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

LCM of:
and

Least Common Multiple of 5557 and 5564

LCM of 5557 and 5564 is 30919148

Least common multiple can be found by multiplying the highest exponent prime factors of 5557 and 5564. First we will calculate the prime factors of 5557 and 5564.

Prime Factorization of 5557


5557 5557
1

Prime factors of 5557 are 5557. Prime factorization of 5557 in exponential form is:

5557 = 55571

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 5557 and 5564.

LCM(5557,5564) = 22×131×1071×55571
LCM(5557,5564) = 30919148

Factors of 5557

List of positive integer factors of 5557 that divides 5557 without a remainder.

1, 5557

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 5557 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 5557 and 5564, than apply into the LCM equation.

GCF(5557,5564) = 1
LCM(5557,5564) = ( 5557 × 5564) / 1
LCM(5557,5564) = 30919148 / 1
LCM(5557,5564) = 30919148

Properties of LCM 5557 and 5564

(i) The LCM of 5564 and 5557 is associative

LCM of 5557 and 5564 = LCM of 5564 and 5557

Related Least Common Multiples of 5557

Related Least Common Multiples of 5564

Frequently Asked Questions on LCM of 5557 and 5564

1. What is the LCM of 5557 and 5564?

Answer: LCM of 5557 and 5564 is 30919148.

2. What are the Factors of 5557?

Answer: Factors of 5557 are 1, 5557. There are 2 integers that are factors of 5557. The greatest factor of 5557 is 5557.

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 5557 and 5564?

Answer:

Least Common Multiple of 5557 and 5564 = 30919148

Step 1: Find the prime factorization of 5557

5557 = 5557

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 = 30919148 = 2 x 2 x 13 x 107 x 5557

Step 4: Therefore, the least common multiple of 5557 and 5564 is 30919148.