Least Common Multiple of 5550 and 5555

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 5555 the smallest integer that is 6166050 that is divisible by both numbers.

Least Common Multiple (LCM) of 5550 and 5555 is 6166050.

LCM(5550,5555) = 6166050

LCM of 5550 and 5555

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

LCM of:
and

Least Common Multiple of 5550 and 5555

LCM of 5550 and 5555 is 6166050

Least common multiple can be found by multiplying the highest exponent prime factors of 5550 and 5555. First we will calculate the prime factors of 5550 and 5555.

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 5555


5 5555
11 1111
101 101
1

Prime factors of 5555 are 5, 11,101. Prime factorization of 5555 in exponential form is:

5555 = 51×111×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5550 and 5555.

LCM(5550,5555) = 21×31×52×111×371×1011
LCM(5550,5555) = 6166050

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 5555

List of positive integer factors of 5555 that divides 5555 without a remainder.

1, 5, 11, 55, 101, 505, 1111, 5555

Least Common Multiple of 5550 and 5555 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 5555, than apply into the LCM equation.

GCF(5550,5555) = 5
LCM(5550,5555) = ( 5550 × 5555) / 5
LCM(5550,5555) = 30830250 / 5
LCM(5550,5555) = 6166050

Properties of LCM 5550 and 5555

(i) The LCM of 5555 and 5550 is associative

LCM of 5550 and 5555 = LCM of 5555 and 5550

Related Least Common Multiples of 5550

Related Least Common Multiples of 5555

Frequently Asked Questions on LCM of 5550 and 5555

1. What is the LCM of 5550 and 5555?

Answer: LCM of 5550 and 5555 is 6166050.

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 5555?

Answer: Factors of 5555 are 1, 5, 11, 55, 101, 505, 1111, 5555. There are 8 integers that are factors of 5555. The greatest factor of 5555 is 5555.

4. How to Find the LCM of 5550 and 5555?

Answer:

Least Common Multiple of 5550 and 5555 = 6166050

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 5555

5555 = 5 x 11 x 101

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

LCM = 6166050 = 2 x 3 x 5 x 5 x 11 x 37 x 101

Step 4: Therefore, the least common multiple of 5550 and 5555 is 6166050.