Least Common Multiple of 5574 and 5581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5574 and 5581 the smallest integer that is 31108494 that is divisible by both numbers.

Least Common Multiple (LCM) of 5574 and 5581 is 31108494.

LCM(5574,5581) = 31108494

LCM of 5574 and 5581

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

LCM of:
and

Least Common Multiple of 5574 and 5581

LCM of 5574 and 5581 is 31108494

Least common multiple can be found by multiplying the highest exponent prime factors of 5574 and 5581. First we will calculate the prime factors of 5574 and 5581.

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

Prime Factorization of 5581


5581 5581
1

Prime factors of 5581 are 5581. Prime factorization of 5581 in exponential form is:

5581 = 55811

Now multiplying the highest exponent prime factors to calculate the LCM of 5574 and 5581.

LCM(5574,5581) = 21×31×9291×55811
LCM(5574,5581) = 31108494

Factors of 5574

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

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

Factors of 5581

List of positive integer factors of 5581 that divides 5581 without a remainder.

1, 5581

Least Common Multiple of 5574 and 5581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5574 and 5581, than apply into the LCM equation.

GCF(5574,5581) = 1
LCM(5574,5581) = ( 5574 × 5581) / 1
LCM(5574,5581) = 31108494 / 1
LCM(5574,5581) = 31108494

Properties of LCM 5574 and 5581

(i) The LCM of 5581 and 5574 is associative

LCM of 5574 and 5581 = LCM of 5581 and 5574

Related Least Common Multiples of 5574

Related Least Common Multiples of 5581

Frequently Asked Questions on LCM of 5574 and 5581

1. What is the LCM of 5574 and 5581?

Answer: LCM of 5574 and 5581 is 31108494.

2. 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.

3. What are the Factors of 5581?

Answer: Factors of 5581 are 1, 5581. There are 2 integers that are factors of 5581. The greatest factor of 5581 is 5581.

4. How to Find the LCM of 5574 and 5581?

Answer:

Least Common Multiple of 5574 and 5581 = 31108494

Step 1: Find the prime factorization of 5574

5574 = 2 x 3 x 929

Step 2: Find the prime factorization of 5581

5581 = 5581

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

LCM = 31108494 = 2 x 3 x 929 x 5581

Step 4: Therefore, the least common multiple of 5574 and 5581 is 31108494.