Least Common Multiple of 550 and 553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 550 and 553 the smallest integer that is 304150 that is divisible by both numbers.

Least Common Multiple (LCM) of 550 and 553 is 304150.

LCM(550,553) = 304150

LCM of 550 and 553

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

LCM of:
and

Least Common Multiple of 550 and 553

LCM of 550 and 553 is 304150

Least common multiple can be found by multiplying the highest exponent prime factors of 550 and 553. First we will calculate the prime factors of 550 and 553.

Prime Factorization of 550


2 550
5 275
5 55
11 11
1

Prime factors of 550 are 2, 5,11. Prime factorization of 550 in exponential form is:

550 = 21×52×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 550 and 553.

LCM(550,553) = 21×52×71×111×791
LCM(550,553) = 304150

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Factors of 553

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

1, 7, 79, 553

Least Common Multiple of 550 and 553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 550 and 553, than apply into the LCM equation.

GCF(550,553) = 1
LCM(550,553) = ( 550 × 553) / 1
LCM(550,553) = 304150 / 1
LCM(550,553) = 304150

Properties of LCM 550 and 553

(i) The LCM of 553 and 550 is associative

LCM of 550 and 553 = LCM of 553 and 550

Related Least Common Multiples of 550

Related Least Common Multiples of 553

Frequently Asked Questions on LCM of 550 and 553

1. What is the LCM of 550 and 553?

Answer: LCM of 550 and 553 is 304150.

2. What are the Factors of 550?

Answer: Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550. There are 12 integers that are factors of 550. The greatest factor of 550 is 550.

3. 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.

4. How to Find the LCM of 550 and 553?

Answer:

Least Common Multiple of 550 and 553 = 304150

Step 1: Find the prime factorization of 550

550 = 2 x 5 x 5 x 11

Step 2: Find the prime factorization of 553

553 = 7 x 79

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

LCM = 304150 = 2 x 5 x 5 x 7 x 11 x 79

Step 4: Therefore, the least common multiple of 550 and 553 is 304150.