Least Common Multiple of 553 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 553 and 556 the smallest integer that is 307468 that is divisible by both numbers.

Least Common Multiple (LCM) of 553 and 556 is 307468.

LCM(553,556) = 307468

LCM of 553 and 556

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

LCM of:
and

Least Common Multiple of 553 and 556

LCM of 553 and 556 is 307468

Least common multiple can be found by multiplying the highest exponent prime factors of 553 and 556. First we will calculate the prime factors of 553 and 556.

Prime Factorization of 553


7 553
79 79
1

Prime factors of 553 are 7,79. Prime factorization of 553 in exponential form is:

553 = 71×791

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 553 and 556.

LCM(553,556) = 22×71×791×1391
LCM(553,556) = 307468

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1, 7, 79, 553

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 553 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 553 and 556, than apply into the LCM equation.

GCF(553,556) = 1
LCM(553,556) = ( 553 × 556) / 1
LCM(553,556) = 307468 / 1
LCM(553,556) = 307468

Properties of LCM 553 and 556

(i) The LCM of 556 and 553 is associative

LCM of 553 and 556 = LCM of 556 and 553

Related Least Common Multiples of 553

Related Least Common Multiples of 556

Frequently Asked Questions on LCM of 553 and 556

1. What is the LCM of 553 and 556?

Answer: LCM of 553 and 556 is 307468.

2. What are the Factors of 553?

Answer: Factors of 553 are 1, 7, 79, 553. There are 4 integers that are factors of 553. The greatest factor of 553 is 553.

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 553 and 556?

Answer:

Least Common Multiple of 553 and 556 = 307468

Step 1: Find the prime factorization of 553

553 = 7 x 79

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 = 307468 = 2 x 2 x 7 x 79 x 139

Step 4: Therefore, the least common multiple of 553 and 556 is 307468.