Least Common Multiple of 556 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 556 and 564 the smallest integer that is 78396 that is divisible by both numbers.

Least Common Multiple (LCM) of 556 and 564 is 78396.

LCM(556,564) = 78396

LCM of 556 and 564

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

LCM of:
and

Least Common Multiple of 556 and 564

LCM of 556 and 564 is 78396

Least common multiple can be found by multiplying the highest exponent prime factors of 556 and 564. First we will calculate the prime factors of 556 and 564.

Prime Factorization of 556


2 556
2 278
139 139
1

Prime factors of 556 are 2,139. Prime factorization of 556 in exponential form is:

556 = 22×1391

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 556 and 564.

LCM(556,564) = 22×31×471×1391
LCM(556,564) = 78396

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

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 556 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 556 and 564, than apply into the LCM equation.

GCF(556,564) = 4
LCM(556,564) = ( 556 × 564) / 4
LCM(556,564) = 313584 / 4
LCM(556,564) = 78396

Properties of LCM 556 and 564

(i) The LCM of 564 and 556 is associative

LCM of 556 and 564 = LCM of 564 and 556

Related Least Common Multiples of 556

Related Least Common Multiples of 564

Frequently Asked Questions on LCM of 556 and 564

1. What is the LCM of 556 and 564?

Answer: LCM of 556 and 564 is 78396.

2. What are the Factors of 556?

Answer: Factors of 556 are 1, 2, 4, 139, 278, 556. There are 6 integers that are factors of 556. The greatest factor of 556 is 556.

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 556 and 564?

Answer:

Least Common Multiple of 556 and 564 = 78396

Step 1: Find the prime factorization of 556

556 = 2 x 2 x 139

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 = 78396 = 2 x 2 x 3 x 47 x 139

Step 4: Therefore, the least common multiple of 556 and 564 is 78396.