Least Common Multiple of 5523 and 5531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5523 and 5531 the smallest integer that is 30547713 that is divisible by both numbers.

Least Common Multiple (LCM) of 5523 and 5531 is 30547713.

LCM(5523,5531) = 30547713

LCM of 5523 and 5531

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

LCM of:
and

Least Common Multiple of 5523 and 5531

LCM of 5523 and 5531 is 30547713

Least common multiple can be found by multiplying the highest exponent prime factors of 5523 and 5531. First we will calculate the prime factors of 5523 and 5531.

Prime Factorization of 5523


3 5523
7 1841
263 263
1

Prime factors of 5523 are 3, 7,263. Prime factorization of 5523 in exponential form is:

5523 = 31×71×2631

Prime Factorization of 5531


5531 5531
1

Prime factors of 5531 are 5531. Prime factorization of 5531 in exponential form is:

5531 = 55311

Now multiplying the highest exponent prime factors to calculate the LCM of 5523 and 5531.

LCM(5523,5531) = 31×71×2631×55311
LCM(5523,5531) = 30547713

Factors of 5523

List of positive integer factors of 5523 that divides 5523 without a remainder.

1, 3, 7, 21, 263, 789, 1841, 5523

Factors of 5531

List of positive integer factors of 5531 that divides 5531 without a remainder.

1, 5531

Least Common Multiple of 5523 and 5531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5523 and 5531, than apply into the LCM equation.

GCF(5523,5531) = 1
LCM(5523,5531) = ( 5523 × 5531) / 1
LCM(5523,5531) = 30547713 / 1
LCM(5523,5531) = 30547713

Properties of LCM 5523 and 5531

(i) The LCM of 5531 and 5523 is associative

LCM of 5523 and 5531 = LCM of 5531 and 5523

Related Least Common Multiples of 5523

Related Least Common Multiples of 5531

Frequently Asked Questions on LCM of 5523 and 5531

1. What is the LCM of 5523 and 5531?

Answer: LCM of 5523 and 5531 is 30547713.

2. What are the Factors of 5523?

Answer: Factors of 5523 are 1, 3, 7, 21, 263, 789, 1841, 5523. There are 8 integers that are factors of 5523. The greatest factor of 5523 is 5523.

3. What are the Factors of 5531?

Answer: Factors of 5531 are 1, 5531. There are 2 integers that are factors of 5531. The greatest factor of 5531 is 5531.

4. How to Find the LCM of 5523 and 5531?

Answer:

Least Common Multiple of 5523 and 5531 = 30547713

Step 1: Find the prime factorization of 5523

5523 = 3 x 7 x 263

Step 2: Find the prime factorization of 5531

5531 = 5531

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

LCM = 30547713 = 3 x 7 x 263 x 5531

Step 4: Therefore, the least common multiple of 5523 and 5531 is 30547713.