Least Common Multiple of 5522 and 5530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5522 and 5530 the smallest integer that is 15268330 that is divisible by both numbers.

Least Common Multiple (LCM) of 5522 and 5530 is 15268330.

LCM(5522,5530) = 15268330

LCM of 5522 and 5530

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

LCM of:
and

Least Common Multiple of 5522 and 5530

LCM of 5522 and 5530 is 15268330

Least common multiple can be found by multiplying the highest exponent prime factors of 5522 and 5530. First we will calculate the prime factors of 5522 and 5530.

Prime Factorization of 5522


2 5522
11 2761
251 251
1

Prime factors of 5522 are 2, 11,251. Prime factorization of 5522 in exponential form is:

5522 = 21×111×2511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5522 and 5530.

LCM(5522,5530) = 21×51×71×111×791×2511
LCM(5522,5530) = 15268330

Factors of 5522

List of positive integer factors of 5522 that divides 5522 without a remainder.

1, 2, 11, 22, 251, 502, 2761, 5522

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

Least Common Multiple of 5522 and 5530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5522 and 5530, than apply into the LCM equation.

GCF(5522,5530) = 2
LCM(5522,5530) = ( 5522 × 5530) / 2
LCM(5522,5530) = 30536660 / 2
LCM(5522,5530) = 15268330

Properties of LCM 5522 and 5530

(i) The LCM of 5530 and 5522 is associative

LCM of 5522 and 5530 = LCM of 5530 and 5522

Related Least Common Multiples of 5522

Related Least Common Multiples of 5530

Frequently Asked Questions on LCM of 5522 and 5530

1. What is the LCM of 5522 and 5530?

Answer: LCM of 5522 and 5530 is 15268330.

2. What are the Factors of 5522?

Answer: Factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522. There are 8 integers that are factors of 5522. The greatest factor of 5522 is 5522.

3. 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.

4. How to Find the LCM of 5522 and 5530?

Answer:

Least Common Multiple of 5522 and 5530 = 15268330

Step 1: Find the prime factorization of 5522

5522 = 2 x 11 x 251

Step 2: Find the prime factorization of 5530

5530 = 2 x 5 x 7 x 79

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

LCM = 15268330 = 2 x 5 x 7 x 11 x 79 x 251

Step 4: Therefore, the least common multiple of 5522 and 5530 is 15268330.