Least Common Multiple of 5575 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 5575 and 5579 the smallest integer that is 31102925 that is divisible by both numbers.

Least Common Multiple (LCM) of 5575 and 5579 is 31102925.

LCM(5575,5579) = 31102925

LCM of 5575 and 5579

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

LCM of:
and

Least Common Multiple of 5575 and 5579

LCM of 5575 and 5579 is 31102925

Least common multiple can be found by multiplying the highest exponent prime factors of 5575 and 5579. First we will calculate the prime factors of 5575 and 5579.

Prime Factorization of 5575


5 5575
5 1115
223 223
1

Prime factors of 5575 are 5,223. Prime factorization of 5575 in exponential form is:

5575 = 52×2231

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 5575 and 5579.

LCM(5575,5579) = 52×71×2231×7971
LCM(5575,5579) = 31102925

Factors of 5575

List of positive integer factors of 5575 that divides 5575 without a remainder.

1, 5, 25, 223, 1115, 5575

Factors of 5579

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

1, 7, 797, 5579

Least Common Multiple of 5575 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 5575 and 5579, than apply into the LCM equation.

GCF(5575,5579) = 1
LCM(5575,5579) = ( 5575 × 5579) / 1
LCM(5575,5579) = 31102925 / 1
LCM(5575,5579) = 31102925

Properties of LCM 5575 and 5579

(i) The LCM of 5579 and 5575 is associative

LCM of 5575 and 5579 = LCM of 5579 and 5575

Related Least Common Multiples of 5575

Related Least Common Multiples of 5579

Frequently Asked Questions on LCM of 5575 and 5579

1. What is the LCM of 5575 and 5579?

Answer: LCM of 5575 and 5579 is 31102925.

2. What are the Factors of 5575?

Answer: Factors of 5575 are 1, 5, 25, 223, 1115, 5575. There are 6 integers that are factors of 5575. The greatest factor of 5575 is 5575.

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 5575 and 5579?

Answer:

Least Common Multiple of 5575 and 5579 = 31102925

Step 1: Find the prime factorization of 5575

5575 = 5 x 5 x 223

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 = 31102925 = 5 x 5 x 7 x 223 x 797

Step 4: Therefore, the least common multiple of 5575 and 5579 is 31102925.