Least Common Multiple of 5579 and 5583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5579 and 5583 the smallest integer that is 31147557 that is divisible by both numbers.

Least Common Multiple (LCM) of 5579 and 5583 is 31147557.

LCM(5579,5583) = 31147557

LCM of 5579 and 5583

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

LCM of:
and

Least Common Multiple of 5579 and 5583

LCM of 5579 and 5583 is 31147557

Least common multiple can be found by multiplying the highest exponent prime factors of 5579 and 5583. First we will calculate the prime factors of 5579 and 5583.

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

Prime Factorization of 5583


3 5583
1861 1861
1

Prime factors of 5583 are 3,1861. Prime factorization of 5583 in exponential form is:

5583 = 31×18611

Now multiplying the highest exponent prime factors to calculate the LCM of 5579 and 5583.

LCM(5579,5583) = 31×71×7971×18611
LCM(5579,5583) = 31147557

Factors of 5579

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

1, 7, 797, 5579

Factors of 5583

List of positive integer factors of 5583 that divides 5583 without a remainder.

1, 3, 1861, 5583

Least Common Multiple of 5579 and 5583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5579 and 5583, than apply into the LCM equation.

GCF(5579,5583) = 1
LCM(5579,5583) = ( 5579 × 5583) / 1
LCM(5579,5583) = 31147557 / 1
LCM(5579,5583) = 31147557

Properties of LCM 5579 and 5583

(i) The LCM of 5583 and 5579 is associative

LCM of 5579 and 5583 = LCM of 5583 and 5579

Related Least Common Multiples of 5579

Related Least Common Multiples of 5583

Frequently Asked Questions on LCM of 5579 and 5583

1. What is the LCM of 5579 and 5583?

Answer: LCM of 5579 and 5583 is 31147557.

2. 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.

3. What are the Factors of 5583?

Answer: Factors of 5583 are 1, 3, 1861, 5583. There are 4 integers that are factors of 5583. The greatest factor of 5583 is 5583.

4. How to Find the LCM of 5579 and 5583?

Answer:

Least Common Multiple of 5579 and 5583 = 31147557

Step 1: Find the prime factorization of 5579

5579 = 7 x 797

Step 2: Find the prime factorization of 5583

5583 = 3 x 1861

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

LCM = 31147557 = 3 x 7 x 797 x 1861

Step 4: Therefore, the least common multiple of 5579 and 5583 is 31147557.