Least Common Multiple of 5564 and 5570

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 5570 the smallest integer that is 15495740 that is divisible by both numbers.

Least Common Multiple (LCM) of 5564 and 5570 is 15495740.

LCM(5564,5570) = 15495740

LCM of 5564 and 5570

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

LCM of:
and

Least Common Multiple of 5564 and 5570

LCM of 5564 and 5570 is 15495740

Least common multiple can be found by multiplying the highest exponent prime factors of 5564 and 5570. First we will calculate the prime factors of 5564 and 5570.

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 5570


2 5570
5 2785
557 557
1

Prime factors of 5570 are 2, 5,557. Prime factorization of 5570 in exponential form is:

5570 = 21×51×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 5564 and 5570.

LCM(5564,5570) = 22×51×131×1071×5571
LCM(5564,5570) = 15495740

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 5570

List of positive integer factors of 5570 that divides 5570 without a remainder.

1, 2, 5, 10, 557, 1114, 2785, 5570

Least Common Multiple of 5564 and 5570 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 5570, than apply into the LCM equation.

GCF(5564,5570) = 2
LCM(5564,5570) = ( 5564 × 5570) / 2
LCM(5564,5570) = 30991480 / 2
LCM(5564,5570) = 15495740

Properties of LCM 5564 and 5570

(i) The LCM of 5570 and 5564 is associative

LCM of 5564 and 5570 = LCM of 5570 and 5564

Related Least Common Multiples of 5564

Related Least Common Multiples of 5570

Frequently Asked Questions on LCM of 5564 and 5570

1. What is the LCM of 5564 and 5570?

Answer: LCM of 5564 and 5570 is 15495740.

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 5570?

Answer: Factors of 5570 are 1, 2, 5, 10, 557, 1114, 2785, 5570. There are 8 integers that are factors of 5570. The greatest factor of 5570 is 5570.

4. How to Find the LCM of 5564 and 5570?

Answer:

Least Common Multiple of 5564 and 5570 = 15495740

Step 1: Find the prime factorization of 5564

5564 = 2 x 2 x 13 x 107

Step 2: Find the prime factorization of 5570

5570 = 2 x 5 x 557

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

LCM = 15495740 = 2 x 2 x 5 x 13 x 107 x 557

Step 4: Therefore, the least common multiple of 5564 and 5570 is 15495740.