Least Common Multiple of 5569 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 5569 and 5574 the smallest integer that is 31041606 that is divisible by both numbers.

Least Common Multiple (LCM) of 5569 and 5574 is 31041606.

LCM(5569,5574) = 31041606

LCM of 5569 and 5574

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

LCM of:
and

Least Common Multiple of 5569 and 5574

LCM of 5569 and 5574 is 31041606

Least common multiple can be found by multiplying the highest exponent prime factors of 5569 and 5574. First we will calculate the prime factors of 5569 and 5574.

Prime Factorization of 5569


5569 5569
1

Prime factors of 5569 are 5569. Prime factorization of 5569 in exponential form is:

5569 = 55691

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 5569 and 5574.

LCM(5569,5574) = 21×31×9291×55691
LCM(5569,5574) = 31041606

Factors of 5569

List of positive integer factors of 5569 that divides 5569 without a remainder.

1, 5569

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 5569 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 5569 and 5574, than apply into the LCM equation.

GCF(5569,5574) = 1
LCM(5569,5574) = ( 5569 × 5574) / 1
LCM(5569,5574) = 31041606 / 1
LCM(5569,5574) = 31041606

Properties of LCM 5569 and 5574

(i) The LCM of 5574 and 5569 is associative

LCM of 5569 and 5574 = LCM of 5574 and 5569

Related Least Common Multiples of 5569

Related Least Common Multiples of 5574

Frequently Asked Questions on LCM of 5569 and 5574

1. What is the LCM of 5569 and 5574?

Answer: LCM of 5569 and 5574 is 31041606.

2. What are the Factors of 5569?

Answer: Factors of 5569 are 1, 5569. There are 2 integers that are factors of 5569. The greatest factor of 5569 is 5569.

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 5569 and 5574?

Answer:

Least Common Multiple of 5569 and 5574 = 31041606

Step 1: Find the prime factorization of 5569

5569 = 5569

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 = 31041606 = 2 x 3 x 929 x 5569

Step 4: Therefore, the least common multiple of 5569 and 5574 is 31041606.