Least Common Multiple of 5530 and 5538

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 5538 the smallest integer that is 15312570 that is divisible by both numbers.

Least Common Multiple (LCM) of 5530 and 5538 is 15312570.

LCM(5530,5538) = 15312570

LCM of 5530 and 5538

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

LCM of:
and

Least Common Multiple of 5530 and 5538

LCM of 5530 and 5538 is 15312570

Least common multiple can be found by multiplying the highest exponent prime factors of 5530 and 5538. First we will calculate the prime factors of 5530 and 5538.

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 5538


2 5538
3 2769
13 923
71 71
1

Prime factors of 5538 are 2, 3, 13,71. Prime factorization of 5538 in exponential form is:

5538 = 21×31×131×711

Now multiplying the highest exponent prime factors to calculate the LCM of 5530 and 5538.

LCM(5530,5538) = 21×31×51×71×131×711×791
LCM(5530,5538) = 15312570

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 5538

List of positive integer factors of 5538 that divides 5538 without a remainder.

1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538

Least Common Multiple of 5530 and 5538 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 5538, than apply into the LCM equation.

GCF(5530,5538) = 2
LCM(5530,5538) = ( 5530 × 5538) / 2
LCM(5530,5538) = 30625140 / 2
LCM(5530,5538) = 15312570

Properties of LCM 5530 and 5538

(i) The LCM of 5538 and 5530 is associative

LCM of 5530 and 5538 = LCM of 5538 and 5530

Related Least Common Multiples of 5530

Related Least Common Multiples of 5538

Frequently Asked Questions on LCM of 5530 and 5538

1. What is the LCM of 5530 and 5538?

Answer: LCM of 5530 and 5538 is 15312570.

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 5538?

Answer: Factors of 5538 are 1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538. There are 16 integers that are factors of 5538. The greatest factor of 5538 is 5538.

4. How to Find the LCM of 5530 and 5538?

Answer:

Least Common Multiple of 5530 and 5538 = 15312570

Step 1: Find the prime factorization of 5530

5530 = 2 x 5 x 7 x 79

Step 2: Find the prime factorization of 5538

5538 = 2 x 3 x 13 x 71

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

LCM = 15312570 = 2 x 3 x 5 x 7 x 13 x 71 x 79

Step 4: Therefore, the least common multiple of 5530 and 5538 is 15312570.