Least Common Multiple of 5571 and 5574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5571 and 5574 the smallest integer that is 10350918 that is divisible by both numbers.

Least Common Multiple (LCM) of 5571 and 5574 is 10350918.

LCM(5571,5574) = 10350918

LCM of 5571 and 5574

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

LCM of:
and

Least Common Multiple of 5571 and 5574

LCM of 5571 and 5574 is 10350918

Least common multiple can be found by multiplying the highest exponent prime factors of 5571 and 5574. First we will calculate the prime factors of 5571 and 5574.

Prime Factorization of 5571


3 5571
3 1857
619 619
1

Prime factors of 5571 are 3,619. Prime factorization of 5571 in exponential form is:

5571 = 32×6191

Prime Factorization of 5574


2 5574
3 2787
929 929
1

Prime factors of 5574 are 2, 3,929. Prime factorization of 5574 in exponential form is:

5574 = 21×31×9291

Now multiplying the highest exponent prime factors to calculate the LCM of 5571 and 5574.

LCM(5571,5574) = 21×32×6191×9291
LCM(5571,5574) = 10350918

Factors of 5571

List of positive integer factors of 5571 that divides 5571 without a remainder.

1, 3, 9, 619, 1857, 5571

Factors of 5574

List of positive integer factors of 5574 that divides 5574 without a remainder.

1, 2, 3, 6, 929, 1858, 2787, 5574

Least Common Multiple of 5571 and 5574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5571 and 5574, than apply into the LCM equation.

GCF(5571,5574) = 3
LCM(5571,5574) = ( 5571 × 5574) / 3
LCM(5571,5574) = 31052754 / 3
LCM(5571,5574) = 10350918

Properties of LCM 5571 and 5574

(i) The LCM of 5574 and 5571 is associative

LCM of 5571 and 5574 = LCM of 5574 and 5571

Related Least Common Multiples of 5571

Related Least Common Multiples of 5574

Frequently Asked Questions on LCM of 5571 and 5574

1. What is the LCM of 5571 and 5574?

Answer: LCM of 5571 and 5574 is 10350918.

2. What are the Factors of 5571?

Answer: Factors of 5571 are 1, 3, 9, 619, 1857, 5571. There are 6 integers that are factors of 5571. The greatest factor of 5571 is 5571.

3. What are the Factors of 5574?

Answer: Factors of 5574 are 1, 2, 3, 6, 929, 1858, 2787, 5574. There are 8 integers that are factors of 5574. The greatest factor of 5574 is 5574.

4. How to Find the LCM of 5571 and 5574?

Answer:

Least Common Multiple of 5571 and 5574 = 10350918

Step 1: Find the prime factorization of 5571

5571 = 3 x 3 x 619

Step 2: Find the prime factorization of 5574

5574 = 2 x 3 x 929

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

LCM = 10350918 = 2 x 3 x 3 x 619 x 929

Step 4: Therefore, the least common multiple of 5571 and 5574 is 10350918.