Least Common Multiple of 5219 and 5221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5219 and 5221 the smallest integer that is 27248399 that is divisible by both numbers.

Least Common Multiple (LCM) of 5219 and 5221 is 27248399.

LCM(5219,5221) = 27248399

LCM of 5219 and 5221

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

LCM of:
and

Least Common Multiple of 5219 and 5221

LCM of 5219 and 5221 is 27248399

Least common multiple can be found by multiplying the highest exponent prime factors of 5219 and 5221. First we will calculate the prime factors of 5219 and 5221.

Prime Factorization of 5219


17 5219
307 307
1

Prime factors of 5219 are 17,307. Prime factorization of 5219 in exponential form is:

5219 = 171×3071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5219 and 5221.

LCM(5219,5221) = 171×231×2271×3071
LCM(5219,5221) = 27248399

Factors of 5219

List of positive integer factors of 5219 that divides 5219 without a remainder.

1, 17, 307, 5219

Factors of 5221

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

1, 23, 227, 5221

Least Common Multiple of 5219 and 5221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5219 and 5221, than apply into the LCM equation.

GCF(5219,5221) = 1
LCM(5219,5221) = ( 5219 × 5221) / 1
LCM(5219,5221) = 27248399 / 1
LCM(5219,5221) = 27248399

Properties of LCM 5219 and 5221

(i) The LCM of 5221 and 5219 is associative

LCM of 5219 and 5221 = LCM of 5221 and 5219

Related Least Common Multiples of 5219

Related Least Common Multiples of 5221

Frequently Asked Questions on LCM of 5219 and 5221

1. What is the LCM of 5219 and 5221?

Answer: LCM of 5219 and 5221 is 27248399.

2. What are the Factors of 5219?

Answer: Factors of 5219 are 1, 17, 307, 5219. There are 4 integers that are factors of 5219. The greatest factor of 5219 is 5219.

3. 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.

4. How to Find the LCM of 5219 and 5221?

Answer:

Least Common Multiple of 5219 and 5221 = 27248399

Step 1: Find the prime factorization of 5219

5219 = 17 x 307

Step 2: Find the prime factorization of 5221

5221 = 23 x 227

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

LCM = 27248399 = 17 x 23 x 227 x 307

Step 4: Therefore, the least common multiple of 5219 and 5221 is 27248399.