Least Common Multiple of 5566 and 5572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5566 and 5572 the smallest integer that is 15506876 that is divisible by both numbers.

Least Common Multiple (LCM) of 5566 and 5572 is 15506876.

LCM(5566,5572) = 15506876

LCM of 5566 and 5572

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

LCM of:
and

Least Common Multiple of 5566 and 5572

LCM of 5566 and 5572 is 15506876

Least common multiple can be found by multiplying the highest exponent prime factors of 5566 and 5572. First we will calculate the prime factors of 5566 and 5572.

Prime Factorization of 5566


2 5566
11 2783
11 253
23 23
1

Prime factors of 5566 are 2, 11,23. Prime factorization of 5566 in exponential form is:

5566 = 21×112×231

Prime Factorization of 5572


2 5572
2 2786
7 1393
199 199
1

Prime factors of 5572 are 2, 7,199. Prime factorization of 5572 in exponential form is:

5572 = 22×71×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 5566 and 5572.

LCM(5566,5572) = 22×71×112×231×1991
LCM(5566,5572) = 15506876

Factors of 5566

List of positive integer factors of 5566 that divides 5566 without a remainder.

1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566

Factors of 5572

List of positive integer factors of 5572 that divides 5572 without a remainder.

1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, 5572

Least Common Multiple of 5566 and 5572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5566 and 5572, than apply into the LCM equation.

GCF(5566,5572) = 2
LCM(5566,5572) = ( 5566 × 5572) / 2
LCM(5566,5572) = 31013752 / 2
LCM(5566,5572) = 15506876

Properties of LCM 5566 and 5572

(i) The LCM of 5572 and 5566 is associative

LCM of 5566 and 5572 = LCM of 5572 and 5566

Related Least Common Multiples of 5566

Related Least Common Multiples of 5572

Frequently Asked Questions on LCM of 5566 and 5572

1. What is the LCM of 5566 and 5572?

Answer: LCM of 5566 and 5572 is 15506876.

2. What are the Factors of 5566?

Answer: Factors of 5566 are 1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566. There are 12 integers that are factors of 5566. The greatest factor of 5566 is 5566.

3. What are the Factors of 5572?

Answer: Factors of 5572 are 1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, 5572. There are 12 integers that are factors of 5572. The greatest factor of 5572 is 5572.

4. How to Find the LCM of 5566 and 5572?

Answer:

Least Common Multiple of 5566 and 5572 = 15506876

Step 1: Find the prime factorization of 5566

5566 = 2 x 11 x 11 x 23

Step 2: Find the prime factorization of 5572

5572 = 2 x 2 x 7 x 199

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

LCM = 15506876 = 2 x 2 x 7 x 11 x 11 x 23 x 199

Step 4: Therefore, the least common multiple of 5566 and 5572 is 15506876.