Least Common Multiple of 5548 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 5548 and 5552 the smallest integer that is 7700624 that is divisible by both numbers.

Least Common Multiple (LCM) of 5548 and 5552 is 7700624.

LCM(5548,5552) = 7700624

LCM of 5548 and 5552

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

LCM of:
and

Least Common Multiple of 5548 and 5552

LCM of 5548 and 5552 is 7700624

Least common multiple can be found by multiplying the highest exponent prime factors of 5548 and 5552. First we will calculate the prime factors of 5548 and 5552.

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 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 5548 and 5552.

LCM(5548,5552) = 24×191×731×3471
LCM(5548,5552) = 7700624

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 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 5548 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 5548 and 5552, than apply into the LCM equation.

GCF(5548,5552) = 4
LCM(5548,5552) = ( 5548 × 5552) / 4
LCM(5548,5552) = 30802496 / 4
LCM(5548,5552) = 7700624

Properties of LCM 5548 and 5552

(i) The LCM of 5552 and 5548 is associative

LCM of 5548 and 5552 = LCM of 5552 and 5548

Related Least Common Multiples of 5548

Related Least Common Multiples of 5552

Frequently Asked Questions on LCM of 5548 and 5552

1. What is the LCM of 5548 and 5552?

Answer: LCM of 5548 and 5552 is 7700624.

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 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 5548 and 5552?

Answer:

Least Common Multiple of 5548 and 5552 = 7700624

Step 1: Find the prime factorization of 5548

5548 = 2 x 2 x 19 x 73

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 = 7700624 = 2 x 2 x 2 x 2 x 19 x 73 x 347

Step 4: Therefore, the least common multiple of 5548 and 5552 is 7700624.