Least Common Multiple of 5523 and 5529

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 5529 the smallest integer that is 10178889 that is divisible by both numbers.

Least Common Multiple (LCM) of 5523 and 5529 is 10178889.

LCM(5523,5529) = 10178889

LCM of 5523 and 5529

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

LCM of:
and

Least Common Multiple of 5523 and 5529

LCM of 5523 and 5529 is 10178889

Least common multiple can be found by multiplying the highest exponent prime factors of 5523 and 5529. First we will calculate the prime factors of 5523 and 5529.

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 5529


3 5529
19 1843
97 97
1

Prime factors of 5529 are 3, 19,97. Prime factorization of 5529 in exponential form is:

5529 = 31×191×971

Now multiplying the highest exponent prime factors to calculate the LCM of 5523 and 5529.

LCM(5523,5529) = 31×71×191×971×2631
LCM(5523,5529) = 10178889

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 5529

List of positive integer factors of 5529 that divides 5529 without a remainder.

1, 3, 19, 57, 97, 291, 1843, 5529

Least Common Multiple of 5523 and 5529 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 5529, than apply into the LCM equation.

GCF(5523,5529) = 3
LCM(5523,5529) = ( 5523 × 5529) / 3
LCM(5523,5529) = 30536667 / 3
LCM(5523,5529) = 10178889

Properties of LCM 5523 and 5529

(i) The LCM of 5529 and 5523 is associative

LCM of 5523 and 5529 = LCM of 5529 and 5523

Related Least Common Multiples of 5523

Related Least Common Multiples of 5529

Frequently Asked Questions on LCM of 5523 and 5529

1. What is the LCM of 5523 and 5529?

Answer: LCM of 5523 and 5529 is 10178889.

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 5529?

Answer: Factors of 5529 are 1, 3, 19, 57, 97, 291, 1843, 5529. There are 8 integers that are factors of 5529. The greatest factor of 5529 is 5529.

4. How to Find the LCM of 5523 and 5529?

Answer:

Least Common Multiple of 5523 and 5529 = 10178889

Step 1: Find the prime factorization of 5523

5523 = 3 x 7 x 263

Step 2: Find the prime factorization of 5529

5529 = 3 x 19 x 97

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

LCM = 10178889 = 3 x 7 x 19 x 97 x 263

Step 4: Therefore, the least common multiple of 5523 and 5529 is 10178889.