Least Common Multiple of 550 and 555

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 555 the smallest integer that is 61050 that is divisible by both numbers.

Least Common Multiple (LCM) of 550 and 555 is 61050.

LCM(550,555) = 61050

LCM of 550 and 555

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

LCM of:
and

Least Common Multiple of 550 and 555

LCM of 550 and 555 is 61050

Least common multiple can be found by multiplying the highest exponent prime factors of 550 and 555. First we will calculate the prime factors of 550 and 555.

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 555


3 555
5 185
37 37
1

Prime factors of 555 are 3, 5,37. Prime factorization of 555 in exponential form is:

555 = 31×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 550 and 555.

LCM(550,555) = 21×31×52×111×371
LCM(550,555) = 61050

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 555

List of positive integer factors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Least Common Multiple of 550 and 555 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 555, than apply into the LCM equation.

GCF(550,555) = 5
LCM(550,555) = ( 550 × 555) / 5
LCM(550,555) = 305250 / 5
LCM(550,555) = 61050

Properties of LCM 550 and 555

(i) The LCM of 555 and 550 is associative

LCM of 550 and 555 = LCM of 555 and 550

Related Least Common Multiples of 550

Related Least Common Multiples of 555

Frequently Asked Questions on LCM of 550 and 555

1. What is the LCM of 550 and 555?

Answer: LCM of 550 and 555 is 61050.

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 555?

Answer: Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555. There are 8 integers that are factors of 555. The greatest factor of 555 is 555.

4. How to Find the LCM of 550 and 555?

Answer:

Least Common Multiple of 550 and 555 = 61050

Step 1: Find the prime factorization of 550

550 = 2 x 5 x 5 x 11

Step 2: Find the prime factorization of 555

555 = 3 x 5 x 37

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

LCM = 61050 = 2 x 3 x 5 x 5 x 11 x 37

Step 4: Therefore, the least common multiple of 550 and 555 is 61050.