Least Common Multiple of 5577 and 5578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5577 and 5578 the smallest integer that is 31108506 that is divisible by both numbers.

Least Common Multiple (LCM) of 5577 and 5578 is 31108506.

LCM(5577,5578) = 31108506

LCM of 5577 and 5578

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

LCM of:
and

Least Common Multiple of 5577 and 5578

LCM of 5577 and 5578 is 31108506

Least common multiple can be found by multiplying the highest exponent prime factors of 5577 and 5578. First we will calculate the prime factors of 5577 and 5578.

Prime Factorization of 5577


3 5577
11 1859
13 169
13 13
1

Prime factors of 5577 are 3, 11,13. Prime factorization of 5577 in exponential form is:

5577 = 31×111×132

Prime Factorization of 5578


2 5578
2789 2789
1

Prime factors of 5578 are 2,2789. Prime factorization of 5578 in exponential form is:

5578 = 21×27891

Now multiplying the highest exponent prime factors to calculate the LCM of 5577 and 5578.

LCM(5577,5578) = 21×31×111×132×27891
LCM(5577,5578) = 31108506

Factors of 5577

List of positive integer factors of 5577 that divides 5577 without a remainder.

1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577

Factors of 5578

List of positive integer factors of 5578 that divides 5578 without a remainder.

1, 2, 2789, 5578

Least Common Multiple of 5577 and 5578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5577 and 5578, than apply into the LCM equation.

GCF(5577,5578) = 1
LCM(5577,5578) = ( 5577 × 5578) / 1
LCM(5577,5578) = 31108506 / 1
LCM(5577,5578) = 31108506

Properties of LCM 5577 and 5578

(i) The LCM of 5578 and 5577 is associative

LCM of 5577 and 5578 = LCM of 5578 and 5577

Related Least Common Multiples of 5577

Related Least Common Multiples of 5578

Frequently Asked Questions on LCM of 5577 and 5578

1. What is the LCM of 5577 and 5578?

Answer: LCM of 5577 and 5578 is 31108506.

2. What are the Factors of 5577?

Answer: Factors of 5577 are 1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577. There are 12 integers that are factors of 5577. The greatest factor of 5577 is 5577.

3. What are the Factors of 5578?

Answer: Factors of 5578 are 1, 2, 2789, 5578. There are 4 integers that are factors of 5578. The greatest factor of 5578 is 5578.

4. How to Find the LCM of 5577 and 5578?

Answer:

Least Common Multiple of 5577 and 5578 = 31108506

Step 1: Find the prime factorization of 5577

5577 = 3 x 11 x 13 x 13

Step 2: Find the prime factorization of 5578

5578 = 2 x 2789

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

LCM = 31108506 = 2 x 3 x 11 x 13 x 13 x 2789

Step 4: Therefore, the least common multiple of 5577 and 5578 is 31108506.