Least Common Multiple of 5552 and 5560

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 5560 the smallest integer that is 3858640 that is divisible by both numbers.

Least Common Multiple (LCM) of 5552 and 5560 is 3858640.

LCM(5552,5560) = 3858640

LCM of 5552 and 5560

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

LCM of:
and

Least Common Multiple of 5552 and 5560

LCM of 5552 and 5560 is 3858640

Least common multiple can be found by multiplying the highest exponent prime factors of 5552 and 5560. First we will calculate the prime factors of 5552 and 5560.

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 5560


2 5560
2 2780
2 1390
5 695
139 139
1

Prime factors of 5560 are 2, 5,139. Prime factorization of 5560 in exponential form is:

5560 = 23×51×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 5552 and 5560.

LCM(5552,5560) = 24×51×1391×3471
LCM(5552,5560) = 3858640

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 5560

List of positive integer factors of 5560 that divides 5560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560

Least Common Multiple of 5552 and 5560 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 5560, than apply into the LCM equation.

GCF(5552,5560) = 8
LCM(5552,5560) = ( 5552 × 5560) / 8
LCM(5552,5560) = 30869120 / 8
LCM(5552,5560) = 3858640

Properties of LCM 5552 and 5560

(i) The LCM of 5560 and 5552 is associative

LCM of 5552 and 5560 = LCM of 5560 and 5552

Related Least Common Multiples of 5552

Related Least Common Multiples of 5560

Frequently Asked Questions on LCM of 5552 and 5560

1. What is the LCM of 5552 and 5560?

Answer: LCM of 5552 and 5560 is 3858640.

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 5560?

Answer: Factors of 5560 are 1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560. There are 16 integers that are factors of 5560. The greatest factor of 5560 is 5560.

4. How to Find the LCM of 5552 and 5560?

Answer:

Least Common Multiple of 5552 and 5560 = 3858640

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 5560

5560 = 2 x 2 x 2 x 5 x 139

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

LCM = 3858640 = 2 x 2 x 2 x 2 x 5 x 139 x 347

Step 4: Therefore, the least common multiple of 5552 and 5560 is 3858640.