Least Common Multiple of 5530 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 5530 and 5535 the smallest integer that is 6121710 that is divisible by both numbers.

Least Common Multiple (LCM) of 5530 and 5535 is 6121710.

LCM(5530,5535) = 6121710

LCM of 5530 and 5535

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

LCM of:
and

Least Common Multiple of 5530 and 5535

LCM of 5530 and 5535 is 6121710

Least common multiple can be found by multiplying the highest exponent prime factors of 5530 and 5535. First we will calculate the prime factors of 5530 and 5535.

Prime Factorization of 5530


2 5530
5 2765
7 553
79 79
1

Prime factors of 5530 are 2, 5, 7,79. Prime factorization of 5530 in exponential form is:

5530 = 21×51×71×791

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 5530 and 5535.

LCM(5530,5535) = 21×33×51×71×411×791
LCM(5530,5535) = 6121710

Factors of 5530

List of positive integer factors of 5530 that divides 5530 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530

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 5530 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 5530 and 5535, than apply into the LCM equation.

GCF(5530,5535) = 5
LCM(5530,5535) = ( 5530 × 5535) / 5
LCM(5530,5535) = 30608550 / 5
LCM(5530,5535) = 6121710

Properties of LCM 5530 and 5535

(i) The LCM of 5535 and 5530 is associative

LCM of 5530 and 5535 = LCM of 5535 and 5530

Related Least Common Multiples of 5530

Related Least Common Multiples of 5535

Frequently Asked Questions on LCM of 5530 and 5535

1. What is the LCM of 5530 and 5535?

Answer: LCM of 5530 and 5535 is 6121710.

2. What are the Factors of 5530?

Answer: Factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530. There are 16 integers that are factors of 5530. The greatest factor of 5530 is 5530.

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 5530 and 5535?

Answer:

Least Common Multiple of 5530 and 5535 = 6121710

Step 1: Find the prime factorization of 5530

5530 = 2 x 5 x 7 x 79

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 = 6121710 = 2 x 3 x 3 x 3 x 5 x 7 x 41 x 79

Step 4: Therefore, the least common multiple of 5530 and 5535 is 6121710.