Least Common Multiple of 5546 and 5550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5546 and 5550 the smallest integer that is 15390150 that is divisible by both numbers.

Least Common Multiple (LCM) of 5546 and 5550 is 15390150.

LCM(5546,5550) = 15390150

LCM of 5546 and 5550

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

LCM of:
and

Least Common Multiple of 5546 and 5550

LCM of 5546 and 5550 is 15390150

Least common multiple can be found by multiplying the highest exponent prime factors of 5546 and 5550. First we will calculate the prime factors of 5546 and 5550.

Prime Factorization of 5546


2 5546
47 2773
59 59
1

Prime factors of 5546 are 2, 47,59. Prime factorization of 5546 in exponential form is:

5546 = 21×471×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5546 and 5550.

LCM(5546,5550) = 21×31×52×371×471×591
LCM(5546,5550) = 15390150

Factors of 5546

List of positive integer factors of 5546 that divides 5546 without a remainder.

1, 2, 47, 59, 94, 118, 2773, 5546

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

Least Common Multiple of 5546 and 5550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5546 and 5550, than apply into the LCM equation.

GCF(5546,5550) = 2
LCM(5546,5550) = ( 5546 × 5550) / 2
LCM(5546,5550) = 30780300 / 2
LCM(5546,5550) = 15390150

Properties of LCM 5546 and 5550

(i) The LCM of 5550 and 5546 is associative

LCM of 5546 and 5550 = LCM of 5550 and 5546

Related Least Common Multiples of 5546

Related Least Common Multiples of 5550

Frequently Asked Questions on LCM of 5546 and 5550

1. What is the LCM of 5546 and 5550?

Answer: LCM of 5546 and 5550 is 15390150.

2. What are the Factors of 5546?

Answer: Factors of 5546 are 1, 2, 47, 59, 94, 118, 2773, 5546. There are 8 integers that are factors of 5546. The greatest factor of 5546 is 5546.

3. 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.

4. How to Find the LCM of 5546 and 5550?

Answer:

Least Common Multiple of 5546 and 5550 = 15390150

Step 1: Find the prime factorization of 5546

5546 = 2 x 47 x 59

Step 2: Find the prime factorization of 5550

5550 = 2 x 3 x 5 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 = 15390150 = 2 x 3 x 5 x 5 x 37 x 47 x 59

Step 4: Therefore, the least common multiple of 5546 and 5550 is 15390150.