Least Common Multiple of 554 and 556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 554 and 556 the smallest integer that is 154012 that is divisible by both numbers.

Least Common Multiple (LCM) of 554 and 556 is 154012.

LCM(554,556) = 154012

LCM of 554 and 556

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

LCM of:
and

Least Common Multiple of 554 and 556

LCM of 554 and 556 is 154012

Least common multiple can be found by multiplying the highest exponent prime factors of 554 and 556. First we will calculate the prime factors of 554 and 556.

Prime Factorization of 554


2 554
277 277
1

Prime factors of 554 are 2,277. Prime factorization of 554 in exponential form is:

554 = 21×2771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 554 and 556.

LCM(554,556) = 22×1391×2771
LCM(554,556) = 154012

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Factors of 556

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

1, 2, 4, 139, 278, 556

Least Common Multiple of 554 and 556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 554 and 556, than apply into the LCM equation.

GCF(554,556) = 2
LCM(554,556) = ( 554 × 556) / 2
LCM(554,556) = 308024 / 2
LCM(554,556) = 154012

Properties of LCM 554 and 556

(i) The LCM of 556 and 554 is associative

LCM of 554 and 556 = LCM of 556 and 554

Related Least Common Multiples of 554

Related Least Common Multiples of 556

Frequently Asked Questions on LCM of 554 and 556

1. What is the LCM of 554 and 556?

Answer: LCM of 554 and 556 is 154012.

2. What are the Factors of 554?

Answer: Factors of 554 are 1, 2, 277, 554. There are 4 integers that are factors of 554. The greatest factor of 554 is 554.

3. 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.

4. How to Find the LCM of 554 and 556?

Answer:

Least Common Multiple of 554 and 556 = 154012

Step 1: Find the prime factorization of 554

554 = 2 x 277

Step 2: Find the prime factorization of 556

556 = 2 x 2 x 139

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

LCM = 154012 = 2 x 2 x 139 x 277

Step 4: Therefore, the least common multiple of 554 and 556 is 154012.