Least Common Multiple of 5550 and 5554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5550 and 5554 the smallest integer that is 15412350 that is divisible by both numbers.

Least Common Multiple (LCM) of 5550 and 5554 is 15412350.

LCM(5550,5554) = 15412350

LCM of 5550 and 5554

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

LCM of:
and

Least Common Multiple of 5550 and 5554

LCM of 5550 and 5554 is 15412350

Least common multiple can be found by multiplying the highest exponent prime factors of 5550 and 5554. First we will calculate the prime factors of 5550 and 5554.

Prime Factorization of 5550


2 5550
3 2775
5 925
5 185
37 37
1

Prime factors of 5550 are 2, 3, 5,37. Prime factorization of 5550 in exponential form is:

5550 = 21×31×52×371

Prime Factorization of 5554


2 5554
2777 2777
1

Prime factors of 5554 are 2,2777. Prime factorization of 5554 in exponential form is:

5554 = 21×27771

Now multiplying the highest exponent prime factors to calculate the LCM of 5550 and 5554.

LCM(5550,5554) = 21×31×52×371×27771
LCM(5550,5554) = 15412350

Factors of 5550

List of positive integer factors of 5550 that divides 5550 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 74, 75, 111, 150, 185, 222, 370, 555, 925, 1110, 1850, 2775, 5550

Factors of 5554

List of positive integer factors of 5554 that divides 5554 without a remainder.

1, 2, 2777, 5554

Least Common Multiple of 5550 and 5554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5550 and 5554, than apply into the LCM equation.

GCF(5550,5554) = 2
LCM(5550,5554) = ( 5550 × 5554) / 2
LCM(5550,5554) = 30824700 / 2
LCM(5550,5554) = 15412350

Properties of LCM 5550 and 5554

(i) The LCM of 5554 and 5550 is associative

LCM of 5550 and 5554 = LCM of 5554 and 5550

Related Least Common Multiples of 5550

Related Least Common Multiples of 5554

Frequently Asked Questions on LCM of 5550 and 5554

1. What is the LCM of 5550 and 5554?

Answer: LCM of 5550 and 5554 is 15412350.

2. What are the Factors of 5550?

Answer: Factors of 5550 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 74, 75, 111, 150, 185, 222, 370, 555, 925, 1110, 1850, 2775, 5550. There are 24 integers that are factors of 5550. The greatest factor of 5550 is 5550.

3. What are the Factors of 5554?

Answer: Factors of 5554 are 1, 2, 2777, 5554. There are 4 integers that are factors of 5554. The greatest factor of 5554 is 5554.

4. How to Find the LCM of 5550 and 5554?

Answer:

Least Common Multiple of 5550 and 5554 = 15412350

Step 1: Find the prime factorization of 5550

5550 = 2 x 3 x 5 x 5 x 37

Step 2: Find the prime factorization of 5554

5554 = 2 x 2777

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

LCM = 15412350 = 2 x 3 x 5 x 5 x 37 x 2777

Step 4: Therefore, the least common multiple of 5550 and 5554 is 15412350.