Least Common Multiple of 551 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 551 and 556 the smallest integer that is 306356 that is divisible by both numbers.

Least Common Multiple (LCM) of 551 and 556 is 306356.

LCM(551,556) = 306356

LCM of 551 and 556

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

LCM of:
and

Least Common Multiple of 551 and 556

LCM of 551 and 556 is 306356

Least common multiple can be found by multiplying the highest exponent prime factors of 551 and 556. First we will calculate the prime factors of 551 and 556.

Prime Factorization of 551


19 551
29 29
1

Prime factors of 551 are 19,29. Prime factorization of 551 in exponential form is:

551 = 191×291

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 551 and 556.

LCM(551,556) = 22×191×291×1391
LCM(551,556) = 306356

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1, 19, 29, 551

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 551 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 551 and 556, than apply into the LCM equation.

GCF(551,556) = 1
LCM(551,556) = ( 551 × 556) / 1
LCM(551,556) = 306356 / 1
LCM(551,556) = 306356

Properties of LCM 551 and 556

(i) The LCM of 556 and 551 is associative

LCM of 551 and 556 = LCM of 556 and 551

Related Least Common Multiples of 551

Related Least Common Multiples of 556

Frequently Asked Questions on LCM of 551 and 556

1. What is the LCM of 551 and 556?

Answer: LCM of 551 and 556 is 306356.

2. What are the Factors of 551?

Answer: Factors of 551 are 1, 19, 29, 551. There are 4 integers that are factors of 551. The greatest factor of 551 is 551.

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 551 and 556?

Answer:

Least Common Multiple of 551 and 556 = 306356

Step 1: Find the prime factorization of 551

551 = 19 x 29

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 = 306356 = 2 x 2 x 19 x 29 x 139

Step 4: Therefore, the least common multiple of 551 and 556 is 306356.