Least Common Multiple of 550 and 554

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 554 the smallest integer that is 152350 that is divisible by both numbers.

Least Common Multiple (LCM) of 550 and 554 is 152350.

LCM(550,554) = 152350

LCM of 550 and 554

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

LCM of:
and

Least Common Multiple of 550 and 554

LCM of 550 and 554 is 152350

Least common multiple can be found by multiplying the highest exponent prime factors of 550 and 554. First we will calculate the prime factors of 550 and 554.

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 554


2 554
277 277
1

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

554 = 21×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 550 and 554.

LCM(550,554) = 21×52×111×2771
LCM(550,554) = 152350

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 554

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

1, 2, 277, 554

Least Common Multiple of 550 and 554 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 554, than apply into the LCM equation.

GCF(550,554) = 2
LCM(550,554) = ( 550 × 554) / 2
LCM(550,554) = 304700 / 2
LCM(550,554) = 152350

Properties of LCM 550 and 554

(i) The LCM of 554 and 550 is associative

LCM of 550 and 554 = LCM of 554 and 550

Related Least Common Multiples of 550

Related Least Common Multiples of 554

Frequently Asked Questions on LCM of 550 and 554

1. What is the LCM of 550 and 554?

Answer: LCM of 550 and 554 is 152350.

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 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.

4. How to Find the LCM of 550 and 554?

Answer:

Least Common Multiple of 550 and 554 = 152350

Step 1: Find the prime factorization of 550

550 = 2 x 5 x 5 x 11

Step 2: Find the prime factorization of 554

554 = 2 x 277

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

LCM = 152350 = 2 x 5 x 5 x 11 x 277

Step 4: Therefore, the least common multiple of 550 and 554 is 152350.