Least Common Multiple of 5527 and 5535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 5527 and 5535 the smallest integer that is 30591945 that is divisible by both numbers.

Least Common Multiple (LCM) of 5527 and 5535 is 30591945.

LCM(5527,5535) = 30591945

LCM of 5527 and 5535

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

LCM of:
and

Least Common Multiple of 5527 and 5535

LCM of 5527 and 5535 is 30591945

Least common multiple can be found by multiplying the highest exponent prime factors of 5527 and 5535. First we will calculate the prime factors of 5527 and 5535.

Prime Factorization of 5527


5527 5527
1

Prime factors of 5527 are 5527. Prime factorization of 5527 in exponential form is:

5527 = 55271

Prime Factorization of 5535


3 5535
3 1845
3 615
5 205
41 41
1

Prime factors of 5535 are 3, 5,41. Prime factorization of 5535 in exponential form is:

5535 = 33×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5527 and 5535.

LCM(5527,5535) = 33×51×411×55271
LCM(5527,5535) = 30591945

Factors of 5527

List of positive integer factors of 5527 that divides 5527 without a remainder.

1, 5527

Factors of 5535

List of positive integer factors of 5535 that divides 5535 without a remainder.

1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535

Least Common Multiple of 5527 and 5535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5527 and 5535, than apply into the LCM equation.

GCF(5527,5535) = 1
LCM(5527,5535) = ( 5527 × 5535) / 1
LCM(5527,5535) = 30591945 / 1
LCM(5527,5535) = 30591945

Properties of LCM 5527 and 5535

(i) The LCM of 5535 and 5527 is associative

LCM of 5527 and 5535 = LCM of 5535 and 5527

Frequently Asked Questions on LCM of 5527 and 5535

1. What is the LCM of 5527 and 5535?

Answer: LCM of 5527 and 5535 is 30591945.

2. What are the Factors of 5527?

Answer: Factors of 5527 are 1, 5527. There are 2 integers that are factors of 5527. The greatest factor of 5527 is 5527.

3. What are the Factors of 5535?

Answer: Factors of 5535 are 1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535. There are 16 integers that are factors of 5535. The greatest factor of 5535 is 5535.

4. How to Find the LCM of 5527 and 5535?

Answer:

Least Common Multiple of 5527 and 5535 = 30591945

Step 1: Find the prime factorization of 5527

5527 = 5527

Step 2: Find the prime factorization of 5535

5535 = 3 x 3 x 3 x 5 x 41

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

LCM = 30591945 = 3 x 3 x 3 x 5 x 41 x 5527

Step 4: Therefore, the least common multiple of 5527 and 5535 is 30591945.