Least Common Multiple of 5574 and 5582

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 5582 the smallest integer that is 15557034 that is divisible by both numbers.

Least Common Multiple (LCM) of 5574 and 5582 is 15557034.

LCM(5574,5582) = 15557034

LCM of 5574 and 5582

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

LCM of:
and

Least Common Multiple of 5574 and 5582

LCM of 5574 and 5582 is 15557034

Least common multiple can be found by multiplying the highest exponent prime factors of 5574 and 5582. First we will calculate the prime factors of 5574 and 5582.

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 5582


2 5582
2791 2791
1

Prime factors of 5582 are 2,2791. Prime factorization of 5582 in exponential form is:

5582 = 21×27911

Now multiplying the highest exponent prime factors to calculate the LCM of 5574 and 5582.

LCM(5574,5582) = 21×31×9291×27911
LCM(5574,5582) = 15557034

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 5582

List of positive integer factors of 5582 that divides 5582 without a remainder.

1, 2, 2791, 5582

Least Common Multiple of 5574 and 5582 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 5582, than apply into the LCM equation.

GCF(5574,5582) = 2
LCM(5574,5582) = ( 5574 × 5582) / 2
LCM(5574,5582) = 31114068 / 2
LCM(5574,5582) = 15557034

Properties of LCM 5574 and 5582

(i) The LCM of 5582 and 5574 is associative

LCM of 5574 and 5582 = LCM of 5582 and 5574

Related Least Common Multiples of 5574

Related Least Common Multiples of 5582

Frequently Asked Questions on LCM of 5574 and 5582

1. What is the LCM of 5574 and 5582?

Answer: LCM of 5574 and 5582 is 15557034.

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 5582?

Answer: Factors of 5582 are 1, 2, 2791, 5582. There are 4 integers that are factors of 5582. The greatest factor of 5582 is 5582.

4. How to Find the LCM of 5574 and 5582?

Answer:

Least Common Multiple of 5574 and 5582 = 15557034

Step 1: Find the prime factorization of 5574

5574 = 2 x 3 x 929

Step 2: Find the prime factorization of 5582

5582 = 2 x 2791

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

LCM = 15557034 = 2 x 3 x 929 x 2791

Step 4: Therefore, the least common multiple of 5574 and 5582 is 15557034.