Least Common Multiple of 5530 and 5534

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 5534 the smallest integer that is 15301510 that is divisible by both numbers.

Least Common Multiple (LCM) of 5530 and 5534 is 15301510.

LCM(5530,5534) = 15301510

LCM of 5530 and 5534

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

LCM of:
and

Least Common Multiple of 5530 and 5534

LCM of 5530 and 5534 is 15301510

Least common multiple can be found by multiplying the highest exponent prime factors of 5530 and 5534. First we will calculate the prime factors of 5530 and 5534.

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 5534


2 5534
2767 2767
1

Prime factors of 5534 are 2,2767. Prime factorization of 5534 in exponential form is:

5534 = 21×27671

Now multiplying the highest exponent prime factors to calculate the LCM of 5530 and 5534.

LCM(5530,5534) = 21×51×71×791×27671
LCM(5530,5534) = 15301510

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 5534

List of positive integer factors of 5534 that divides 5534 without a remainder.

1, 2, 2767, 5534

Least Common Multiple of 5530 and 5534 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 5534, than apply into the LCM equation.

GCF(5530,5534) = 2
LCM(5530,5534) = ( 5530 × 5534) / 2
LCM(5530,5534) = 30603020 / 2
LCM(5530,5534) = 15301510

Properties of LCM 5530 and 5534

(i) The LCM of 5534 and 5530 is associative

LCM of 5530 and 5534 = LCM of 5534 and 5530

Related Least Common Multiples of 5530

Related Least Common Multiples of 5534

Frequently Asked Questions on LCM of 5530 and 5534

1. What is the LCM of 5530 and 5534?

Answer: LCM of 5530 and 5534 is 15301510.

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 5534?

Answer: Factors of 5534 are 1, 2, 2767, 5534. There are 4 integers that are factors of 5534. The greatest factor of 5534 is 5534.

4. How to Find the LCM of 5530 and 5534?

Answer:

Least Common Multiple of 5530 and 5534 = 15301510

Step 1: Find the prime factorization of 5530

5530 = 2 x 5 x 7 x 79

Step 2: Find the prime factorization of 5534

5534 = 2 x 2767

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

LCM = 15301510 = 2 x 5 x 7 x 79 x 2767

Step 4: Therefore, the least common multiple of 5530 and 5534 is 15301510.