Least Common Multiple of 5548 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 5548 and 5550 the smallest integer that is 15395700 that is divisible by both numbers.

Least Common Multiple (LCM) of 5548 and 5550 is 15395700.

LCM(5548,5550) = 15395700

LCM of 5548 and 5550

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

LCM of:
and

Least Common Multiple of 5548 and 5550

LCM of 5548 and 5550 is 15395700

Least common multiple can be found by multiplying the highest exponent prime factors of 5548 and 5550. First we will calculate the prime factors of 5548 and 5550.

Prime Factorization of 5548


2 5548
2 2774
19 1387
73 73
1

Prime factors of 5548 are 2, 19,73. Prime factorization of 5548 in exponential form is:

5548 = 22×191×731

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 5548 and 5550.

LCM(5548,5550) = 22×31×52×191×371×731
LCM(5548,5550) = 15395700

Factors of 5548

List of positive integer factors of 5548 that divides 5548 without a remainder.

1, 2, 4, 19, 38, 73, 76, 146, 292, 1387, 2774, 5548

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 5548 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 5548 and 5550, than apply into the LCM equation.

GCF(5548,5550) = 2
LCM(5548,5550) = ( 5548 × 5550) / 2
LCM(5548,5550) = 30791400 / 2
LCM(5548,5550) = 15395700

Properties of LCM 5548 and 5550

(i) The LCM of 5550 and 5548 is associative

LCM of 5548 and 5550 = LCM of 5550 and 5548

Related Least Common Multiples of 5548

Related Least Common Multiples of 5550

Frequently Asked Questions on LCM of 5548 and 5550

1. What is the LCM of 5548 and 5550?

Answer: LCM of 5548 and 5550 is 15395700.

2. What are the Factors of 5548?

Answer: Factors of 5548 are 1, 2, 4, 19, 38, 73, 76, 146, 292, 1387, 2774, 5548. There are 12 integers that are factors of 5548. The greatest factor of 5548 is 5548.

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 5548 and 5550?

Answer:

Least Common Multiple of 5548 and 5550 = 15395700

Step 1: Find the prime factorization of 5548

5548 = 2 x 2 x 19 x 73

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 = 15395700 = 2 x 2 x 3 x 5 x 5 x 19 x 37 x 73

Step 4: Therefore, the least common multiple of 5548 and 5550 is 15395700.