Least Common Multiple of 5223 and 5228

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 5228 the smallest integer that is 27305844 that is divisible by both numbers.

Least Common Multiple (LCM) of 5223 and 5228 is 27305844.

LCM(5223,5228) = 27305844

LCM of 5223 and 5228

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

LCM of:
and

Least Common Multiple of 5223 and 5228

LCM of 5223 and 5228 is 27305844

Least common multiple can be found by multiplying the highest exponent prime factors of 5223 and 5228. First we will calculate the prime factors of 5223 and 5228.

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 5228


2 5228
2 2614
1307 1307
1

Prime factors of 5228 are 2,1307. Prime factorization of 5228 in exponential form is:

5228 = 22×13071

Now multiplying the highest exponent prime factors to calculate the LCM of 5223 and 5228.

LCM(5223,5228) = 22×31×13071×17411
LCM(5223,5228) = 27305844

Factors of 5223

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

1, 3, 1741, 5223

Factors of 5228

List of positive integer factors of 5228 that divides 5228 without a remainder.

1, 2, 4, 1307, 2614, 5228

Least Common Multiple of 5223 and 5228 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 5228, than apply into the LCM equation.

GCF(5223,5228) = 1
LCM(5223,5228) = ( 5223 × 5228) / 1
LCM(5223,5228) = 27305844 / 1
LCM(5223,5228) = 27305844

Properties of LCM 5223 and 5228

(i) The LCM of 5228 and 5223 is associative

LCM of 5223 and 5228 = LCM of 5228 and 5223

Related Least Common Multiples of 5223

Related Least Common Multiples of 5228

Frequently Asked Questions on LCM of 5223 and 5228

1. What is the LCM of 5223 and 5228?

Answer: LCM of 5223 and 5228 is 27305844.

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 5228?

Answer: Factors of 5228 are 1, 2, 4, 1307, 2614, 5228. There are 6 integers that are factors of 5228. The greatest factor of 5228 is 5228.

4. How to Find the LCM of 5223 and 5228?

Answer:

Least Common Multiple of 5223 and 5228 = 27305844

Step 1: Find the prime factorization of 5223

5223 = 3 x 1741

Step 2: Find the prime factorization of 5228

5228 = 2 x 2 x 1307

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

LCM = 27305844 = 2 x 2 x 3 x 1307 x 1741

Step 4: Therefore, the least common multiple of 5223 and 5228 is 27305844.