Least Common Multiple of 5569 and 5577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5569 and 5577 the smallest integer that is 31058313 that is divisible by both numbers.

Least Common Multiple (LCM) of 5569 and 5577 is 31058313.

LCM(5569,5577) = 31058313

LCM of 5569 and 5577

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

LCM of:
and

Least Common Multiple of 5569 and 5577

LCM of 5569 and 5577 is 31058313

Least common multiple can be found by multiplying the highest exponent prime factors of 5569 and 5577. First we will calculate the prime factors of 5569 and 5577.

Prime Factorization of 5569


5569 5569
1

Prime factors of 5569 are 5569. Prime factorization of 5569 in exponential form is:

5569 = 55691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5569 and 5577.

LCM(5569,5577) = 31×111×132×55691
LCM(5569,5577) = 31058313

Factors of 5569

List of positive integer factors of 5569 that divides 5569 without a remainder.

1, 5569

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

Least Common Multiple of 5569 and 5577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5569 and 5577, than apply into the LCM equation.

GCF(5569,5577) = 1
LCM(5569,5577) = ( 5569 × 5577) / 1
LCM(5569,5577) = 31058313 / 1
LCM(5569,5577) = 31058313

Properties of LCM 5569 and 5577

(i) The LCM of 5577 and 5569 is associative

LCM of 5569 and 5577 = LCM of 5577 and 5569

Related Least Common Multiples of 5569

Related Least Common Multiples of 5577

Frequently Asked Questions on LCM of 5569 and 5577

1. What is the LCM of 5569 and 5577?

Answer: LCM of 5569 and 5577 is 31058313.

2. What are the Factors of 5569?

Answer: Factors of 5569 are 1, 5569. There are 2 integers that are factors of 5569. The greatest factor of 5569 is 5569.

3. 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.

4. How to Find the LCM of 5569 and 5577?

Answer:

Least Common Multiple of 5569 and 5577 = 31058313

Step 1: Find the prime factorization of 5569

5569 = 5569

Step 2: Find the prime factorization of 5577

5577 = 3 x 11 x 13 x 13

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

LCM = 31058313 = 3 x 11 x 13 x 13 x 5569

Step 4: Therefore, the least common multiple of 5569 and 5577 is 31058313.