Least Common Multiple of 556 and 562

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 562 the smallest integer that is 156236 that is divisible by both numbers.

Least Common Multiple (LCM) of 556 and 562 is 156236.

LCM(556,562) = 156236

LCM of 556 and 562

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

LCM of:
and

Least Common Multiple of 556 and 562

LCM of 556 and 562 is 156236

Least common multiple can be found by multiplying the highest exponent prime factors of 556 and 562. First we will calculate the prime factors of 556 and 562.

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 562


2 562
281 281
1

Prime factors of 562 are 2,281. Prime factorization of 562 in exponential form is:

562 = 21×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 556 and 562.

LCM(556,562) = 22×1391×2811
LCM(556,562) = 156236

Factors of 556

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

1, 2, 4, 139, 278, 556

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Least Common Multiple of 556 and 562 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 562, than apply into the LCM equation.

GCF(556,562) = 2
LCM(556,562) = ( 556 × 562) / 2
LCM(556,562) = 312472 / 2
LCM(556,562) = 156236

Properties of LCM 556 and 562

(i) The LCM of 562 and 556 is associative

LCM of 556 and 562 = LCM of 562 and 556

Related Least Common Multiples of 556

Related Least Common Multiples of 562

Frequently Asked Questions on LCM of 556 and 562

1. What is the LCM of 556 and 562?

Answer: LCM of 556 and 562 is 156236.

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 562?

Answer: Factors of 562 are 1, 2, 281, 562. There are 4 integers that are factors of 562. The greatest factor of 562 is 562.

4. How to Find the LCM of 556 and 562?

Answer:

Least Common Multiple of 556 and 562 = 156236

Step 1: Find the prime factorization of 556

556 = 2 x 2 x 139

Step 2: Find the prime factorization of 562

562 = 2 x 281

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

LCM = 156236 = 2 x 2 x 139 x 281

Step 4: Therefore, the least common multiple of 556 and 562 is 156236.