Least Common Multiple of 5519 and 5523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5519 and 5523 the smallest integer that is 30481437 that is divisible by both numbers.

Least Common Multiple (LCM) of 5519 and 5523 is 30481437.

LCM(5519,5523) = 30481437

LCM of 5519 and 5523

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

LCM of:
and

Least Common Multiple of 5519 and 5523

LCM of 5519 and 5523 is 30481437

Least common multiple can be found by multiplying the highest exponent prime factors of 5519 and 5523. First we will calculate the prime factors of 5519 and 5523.

Prime Factorization of 5519


5519 5519
1

Prime factors of 5519 are 5519. Prime factorization of 5519 in exponential form is:

5519 = 55191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5519 and 5523.

LCM(5519,5523) = 31×71×2631×55191
LCM(5519,5523) = 30481437

Factors of 5519

List of positive integer factors of 5519 that divides 5519 without a remainder.

1, 5519

Factors of 5523

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

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

Least Common Multiple of 5519 and 5523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5519 and 5523, than apply into the LCM equation.

GCF(5519,5523) = 1
LCM(5519,5523) = ( 5519 × 5523) / 1
LCM(5519,5523) = 30481437 / 1
LCM(5519,5523) = 30481437

Properties of LCM 5519 and 5523

(i) The LCM of 5523 and 5519 is associative

LCM of 5519 and 5523 = LCM of 5523 and 5519

Related Least Common Multiples of 5519

Related Least Common Multiples of 5523

Frequently Asked Questions on LCM of 5519 and 5523

1. What is the LCM of 5519 and 5523?

Answer: LCM of 5519 and 5523 is 30481437.

2. What are the Factors of 5519?

Answer: Factors of 5519 are 1, 5519. There are 2 integers that are factors of 5519. The greatest factor of 5519 is 5519.

3. 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.

4. How to Find the LCM of 5519 and 5523?

Answer:

Least Common Multiple of 5519 and 5523 = 30481437

Step 1: Find the prime factorization of 5519

5519 = 5519

Step 2: Find the prime factorization of 5523

5523 = 3 x 7 x 263

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

LCM = 30481437 = 3 x 7 x 263 x 5519

Step 4: Therefore, the least common multiple of 5519 and 5523 is 30481437.