Least Common Multiple of 5552 and 5556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5552 and 5556 the smallest integer that is 7711728 that is divisible by both numbers.

Least Common Multiple (LCM) of 5552 and 5556 is 7711728.

LCM(5552,5556) = 7711728

LCM of 5552 and 5556

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

LCM of:
and

Least Common Multiple of 5552 and 5556

LCM of 5552 and 5556 is 7711728

Least common multiple can be found by multiplying the highest exponent prime factors of 5552 and 5556. First we will calculate the prime factors of 5552 and 5556.

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

Prime Factorization of 5556


2 5556
2 2778
3 1389
463 463
1

Prime factors of 5556 are 2, 3,463. Prime factorization of 5556 in exponential form is:

5556 = 22×31×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 5552 and 5556.

LCM(5552,5556) = 24×31×3471×4631
LCM(5552,5556) = 7711728

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

Factors of 5556

List of positive integer factors of 5556 that divides 5556 without a remainder.

1, 2, 3, 4, 6, 12, 463, 926, 1389, 1852, 2778, 5556

Least Common Multiple of 5552 and 5556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5552 and 5556, than apply into the LCM equation.

GCF(5552,5556) = 4
LCM(5552,5556) = ( 5552 × 5556) / 4
LCM(5552,5556) = 30846912 / 4
LCM(5552,5556) = 7711728

Properties of LCM 5552 and 5556

(i) The LCM of 5556 and 5552 is associative

LCM of 5552 and 5556 = LCM of 5556 and 5552

Related Least Common Multiples of 5552

Related Least Common Multiples of 5556

Frequently Asked Questions on LCM of 5552 and 5556

1. What is the LCM of 5552 and 5556?

Answer: LCM of 5552 and 5556 is 7711728.

2. 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.

3. What are the Factors of 5556?

Answer: Factors of 5556 are 1, 2, 3, 4, 6, 12, 463, 926, 1389, 1852, 2778, 5556. There are 12 integers that are factors of 5556. The greatest factor of 5556 is 5556.

4. How to Find the LCM of 5552 and 5556?

Answer:

Least Common Multiple of 5552 and 5556 = 7711728

Step 1: Find the prime factorization of 5552

5552 = 2 x 2 x 2 x 2 x 347

Step 2: Find the prime factorization of 5556

5556 = 2 x 2 x 3 x 463

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

LCM = 7711728 = 2 x 2 x 2 x 2 x 3 x 347 x 463

Step 4: Therefore, the least common multiple of 5552 and 5556 is 7711728.