Least Common Multiple of 5564 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 5564 and 5572 the smallest integer that is 7750652 that is divisible by both numbers.

Least Common Multiple (LCM) of 5564 and 5572 is 7750652.

LCM(5564,5572) = 7750652

LCM of 5564 and 5572

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

LCM of:
and

Least Common Multiple of 5564 and 5572

LCM of 5564 and 5572 is 7750652

Least common multiple can be found by multiplying the highest exponent prime factors of 5564 and 5572. First we will calculate the prime factors of 5564 and 5572.

Prime Factorization of 5564


2 5564
2 2782
13 1391
107 107
1

Prime factors of 5564 are 2, 13,107. Prime factorization of 5564 in exponential form is:

5564 = 22×131×1071

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 5564 and 5572.

LCM(5564,5572) = 22×71×131×1071×1991
LCM(5564,5572) = 7750652

Factors of 5564

List of positive integer factors of 5564 that divides 5564 without a remainder.

1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564

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 5564 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 5564 and 5572, than apply into the LCM equation.

GCF(5564,5572) = 4
LCM(5564,5572) = ( 5564 × 5572) / 4
LCM(5564,5572) = 31002608 / 4
LCM(5564,5572) = 7750652

Properties of LCM 5564 and 5572

(i) The LCM of 5572 and 5564 is associative

LCM of 5564 and 5572 = LCM of 5572 and 5564

Related Least Common Multiples of 5564

Related Least Common Multiples of 5572

Frequently Asked Questions on LCM of 5564 and 5572

1. What is the LCM of 5564 and 5572?

Answer: LCM of 5564 and 5572 is 7750652.

2. What are the Factors of 5564?

Answer: Factors of 5564 are 1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564. There are 12 integers that are factors of 5564. The greatest factor of 5564 is 5564.

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 5564 and 5572?

Answer:

Least Common Multiple of 5564 and 5572 = 7750652

Step 1: Find the prime factorization of 5564

5564 = 2 x 2 x 13 x 107

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 = 7750652 = 2 x 2 x 7 x 13 x 107 x 199

Step 4: Therefore, the least common multiple of 5564 and 5572 is 7750652.