Least Common Multiple of 5574 and 5579

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 5579 the smallest integer that is 31097346 that is divisible by both numbers.

Least Common Multiple (LCM) of 5574 and 5579 is 31097346.

LCM(5574,5579) = 31097346

LCM of 5574 and 5579

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

LCM of:
and

Least Common Multiple of 5574 and 5579

LCM of 5574 and 5579 is 31097346

Least common multiple can be found by multiplying the highest exponent prime factors of 5574 and 5579. First we will calculate the prime factors of 5574 and 5579.

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 5579


7 5579
797 797
1

Prime factors of 5579 are 7,797. Prime factorization of 5579 in exponential form is:

5579 = 71×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 5574 and 5579.

LCM(5574,5579) = 21×31×71×7971×9291
LCM(5574,5579) = 31097346

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 5579

List of positive integer factors of 5579 that divides 5579 without a remainder.

1, 7, 797, 5579

Least Common Multiple of 5574 and 5579 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 5579, than apply into the LCM equation.

GCF(5574,5579) = 1
LCM(5574,5579) = ( 5574 × 5579) / 1
LCM(5574,5579) = 31097346 / 1
LCM(5574,5579) = 31097346

Properties of LCM 5574 and 5579

(i) The LCM of 5579 and 5574 is associative

LCM of 5574 and 5579 = LCM of 5579 and 5574

Related Least Common Multiples of 5574

Related Least Common Multiples of 5579

Frequently Asked Questions on LCM of 5574 and 5579

1. What is the LCM of 5574 and 5579?

Answer: LCM of 5574 and 5579 is 31097346.

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 5579?

Answer: Factors of 5579 are 1, 7, 797, 5579. There are 4 integers that are factors of 5579. The greatest factor of 5579 is 5579.

4. How to Find the LCM of 5574 and 5579?

Answer:

Least Common Multiple of 5574 and 5579 = 31097346

Step 1: Find the prime factorization of 5574

5574 = 2 x 3 x 929

Step 2: Find the prime factorization of 5579

5579 = 7 x 797

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

LCM = 31097346 = 2 x 3 x 7 x 797 x 929

Step 4: Therefore, the least common multiple of 5574 and 5579 is 31097346.