Least Common Multiple of 5221 and 5225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5221 and 5225 the smallest integer that is 27279725 that is divisible by both numbers.

Least Common Multiple (LCM) of 5221 and 5225 is 27279725.

LCM(5221,5225) = 27279725

LCM of 5221 and 5225

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

LCM of:
and

Least Common Multiple of 5221 and 5225

LCM of 5221 and 5225 is 27279725

Least common multiple can be found by multiplying the highest exponent prime factors of 5221 and 5225. First we will calculate the prime factors of 5221 and 5225.

Prime Factorization of 5221


23 5221
227 227
1

Prime factors of 5221 are 23,227. Prime factorization of 5221 in exponential form is:

5221 = 231×2271

Prime Factorization of 5225


5 5225
5 1045
11 209
19 19
1

Prime factors of 5225 are 5, 11,19. Prime factorization of 5225 in exponential form is:

5225 = 52×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 5221 and 5225.

LCM(5221,5225) = 52×111×191×231×2271
LCM(5221,5225) = 27279725

Factors of 5221

List of positive integer factors of 5221 that divides 5221 without a remainder.

1, 23, 227, 5221

Factors of 5225

List of positive integer factors of 5225 that divides 5225 without a remainder.

1, 5, 11, 19, 25, 55, 95, 209, 275, 475, 1045, 5225

Least Common Multiple of 5221 and 5225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5221 and 5225, than apply into the LCM equation.

GCF(5221,5225) = 1
LCM(5221,5225) = ( 5221 × 5225) / 1
LCM(5221,5225) = 27279725 / 1
LCM(5221,5225) = 27279725

Properties of LCM 5221 and 5225

(i) The LCM of 5225 and 5221 is associative

LCM of 5221 and 5225 = LCM of 5225 and 5221

Related Least Common Multiples of 5221

Related Least Common Multiples of 5225

Frequently Asked Questions on LCM of 5221 and 5225

1. What is the LCM of 5221 and 5225?

Answer: LCM of 5221 and 5225 is 27279725.

2. What are the Factors of 5221?

Answer: Factors of 5221 are 1, 23, 227, 5221. There are 4 integers that are factors of 5221. The greatest factor of 5221 is 5221.

3. What are the Factors of 5225?

Answer: Factors of 5225 are 1, 5, 11, 19, 25, 55, 95, 209, 275, 475, 1045, 5225. There are 12 integers that are factors of 5225. The greatest factor of 5225 is 5225.

4. How to Find the LCM of 5221 and 5225?

Answer:

Least Common Multiple of 5221 and 5225 = 27279725

Step 1: Find the prime factorization of 5221

5221 = 23 x 227

Step 2: Find the prime factorization of 5225

5225 = 5 x 5 x 11 x 19

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

LCM = 27279725 = 5 x 5 x 11 x 19 x 23 x 227

Step 4: Therefore, the least common multiple of 5221 and 5225 is 27279725.