Least Common Multiple of 5223 and 5227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5223 and 5227 the smallest integer that is 27300621 that is divisible by both numbers.

Least Common Multiple (LCM) of 5223 and 5227 is 27300621.

LCM(5223,5227) = 27300621

LCM of 5223 and 5227

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

LCM of:
and

Least Common Multiple of 5223 and 5227

LCM of 5223 and 5227 is 27300621

Least common multiple can be found by multiplying the highest exponent prime factors of 5223 and 5227. First we will calculate the prime factors of 5223 and 5227.

Prime Factorization of 5223


3 5223
1741 1741
1

Prime factors of 5223 are 3,1741. Prime factorization of 5223 in exponential form is:

5223 = 31×17411

Prime Factorization of 5227


5227 5227
1

Prime factors of 5227 are 5227. Prime factorization of 5227 in exponential form is:

5227 = 52271

Now multiplying the highest exponent prime factors to calculate the LCM of 5223 and 5227.

LCM(5223,5227) = 31×17411×52271
LCM(5223,5227) = 27300621

Factors of 5223

List of positive integer factors of 5223 that divides 5223 without a remainder.

1, 3, 1741, 5223

Factors of 5227

List of positive integer factors of 5227 that divides 5227 without a remainder.

1, 5227

Least Common Multiple of 5223 and 5227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5223 and 5227, than apply into the LCM equation.

GCF(5223,5227) = 1
LCM(5223,5227) = ( 5223 × 5227) / 1
LCM(5223,5227) = 27300621 / 1
LCM(5223,5227) = 27300621

Properties of LCM 5223 and 5227

(i) The LCM of 5227 and 5223 is associative

LCM of 5223 and 5227 = LCM of 5227 and 5223

Related Least Common Multiples of 5223

Related Least Common Multiples of 5227

Frequently Asked Questions on LCM of 5223 and 5227

1. What is the LCM of 5223 and 5227?

Answer: LCM of 5223 and 5227 is 27300621.

2. What are the Factors of 5223?

Answer: Factors of 5223 are 1, 3, 1741, 5223. There are 4 integers that are factors of 5223. The greatest factor of 5223 is 5223.

3. What are the Factors of 5227?

Answer: Factors of 5227 are 1, 5227. There are 2 integers that are factors of 5227. The greatest factor of 5227 is 5227.

4. How to Find the LCM of 5223 and 5227?

Answer:

Least Common Multiple of 5223 and 5227 = 27300621

Step 1: Find the prime factorization of 5223

5223 = 3 x 1741

Step 2: Find the prime factorization of 5227

5227 = 5227

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

LCM = 27300621 = 3 x 1741 x 5227

Step 4: Therefore, the least common multiple of 5223 and 5227 is 27300621.