Least Common Multiple of 5550 and 5552

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 5552 the smallest integer that is 15406800 that is divisible by both numbers.

Least Common Multiple (LCM) of 5550 and 5552 is 15406800.

LCM(5550,5552) = 15406800

LCM of 5550 and 5552

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

LCM of:
and

Least Common Multiple of 5550 and 5552

LCM of 5550 and 5552 is 15406800

Least common multiple can be found by multiplying the highest exponent prime factors of 5550 and 5552. First we will calculate the prime factors of 5550 and 5552.

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 5552


2 5552
2 2776
2 1388
2 694
347 347
1

Prime factors of 5552 are 2,347. Prime factorization of 5552 in exponential form is:

5552 = 24×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 5550 and 5552.

LCM(5550,5552) = 24×31×52×371×3471
LCM(5550,5552) = 15406800

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 5552

List of positive integer factors of 5552 that divides 5552 without a remainder.

1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552

Least Common Multiple of 5550 and 5552 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 5552, than apply into the LCM equation.

GCF(5550,5552) = 2
LCM(5550,5552) = ( 5550 × 5552) / 2
LCM(5550,5552) = 30813600 / 2
LCM(5550,5552) = 15406800

Properties of LCM 5550 and 5552

(i) The LCM of 5552 and 5550 is associative

LCM of 5550 and 5552 = LCM of 5552 and 5550

Related Least Common Multiples of 5550

Related Least Common Multiples of 5552

Frequently Asked Questions on LCM of 5550 and 5552

1. What is the LCM of 5550 and 5552?

Answer: LCM of 5550 and 5552 is 15406800.

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 5552?

Answer: Factors of 5552 are 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552. There are 10 integers that are factors of 5552. The greatest factor of 5552 is 5552.

4. How to Find the LCM of 5550 and 5552?

Answer:

Least Common Multiple of 5550 and 5552 = 15406800

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 5552

5552 = 2 x 2 x 2 x 2 x 347

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

LCM = 15406800 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 37 x 347

Step 4: Therefore, the least common multiple of 5550 and 5552 is 15406800.