Least Common Multiple of 557 and 564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 557 and 564 the smallest integer that is 314148 that is divisible by both numbers.

Least Common Multiple (LCM) of 557 and 564 is 314148.

LCM(557,564) = 314148

LCM of 557 and 564

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

LCM of:
and

Least Common Multiple of 557 and 564

LCM of 557 and 564 is 314148

Least common multiple can be found by multiplying the highest exponent prime factors of 557 and 564. First we will calculate the prime factors of 557 and 564.

Prime Factorization of 557


557 557
1

Prime factors of 557 are 557. Prime factorization of 557 in exponential form is:

557 = 5571

Prime Factorization of 564


2 564
2 282
3 141
47 47
1

Prime factors of 564 are 2, 3,47. Prime factorization of 564 in exponential form is:

564 = 22×31×471

Now multiplying the highest exponent prime factors to calculate the LCM of 557 and 564.

LCM(557,564) = 22×31×471×5571
LCM(557,564) = 314148

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1, 557

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Least Common Multiple of 557 and 564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 557 and 564, than apply into the LCM equation.

GCF(557,564) = 1
LCM(557,564) = ( 557 × 564) / 1
LCM(557,564) = 314148 / 1
LCM(557,564) = 314148

Properties of LCM 557 and 564

(i) The LCM of 564 and 557 is associative

LCM of 557 and 564 = LCM of 564 and 557

Related Least Common Multiples of 557

Related Least Common Multiples of 564

Frequently Asked Questions on LCM of 557 and 564

1. What is the LCM of 557 and 564?

Answer: LCM of 557 and 564 is 314148.

2. What are the Factors of 557?

Answer: Factors of 557 are 1, 557. There are 2 integers that are factors of 557. The greatest factor of 557 is 557.

3. What are the Factors of 564?

Answer: Factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564. There are 12 integers that are factors of 564. The greatest factor of 564 is 564.

4. How to Find the LCM of 557 and 564?

Answer:

Least Common Multiple of 557 and 564 = 314148

Step 1: Find the prime factorization of 557

557 = 557

Step 2: Find the prime factorization of 564

564 = 2 x 2 x 3 x 47

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

LCM = 314148 = 2 x 2 x 3 x 47 x 557

Step 4: Therefore, the least common multiple of 557 and 564 is 314148.