Least Common Multiple of 5219 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 5219 and 5225 the smallest integer that is 27269275 that is divisible by both numbers.

Least Common Multiple (LCM) of 5219 and 5225 is 27269275.

LCM(5219,5225) = 27269275

LCM of 5219 and 5225

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

LCM of:
and

Least Common Multiple of 5219 and 5225

LCM of 5219 and 5225 is 27269275

Least common multiple can be found by multiplying the highest exponent prime factors of 5219 and 5225. First we will calculate the prime factors of 5219 and 5225.

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 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 5219 and 5225.

LCM(5219,5225) = 52×111×171×191×3071
LCM(5219,5225) = 27269275

Factors of 5219

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

1, 17, 307, 5219

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 5219 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 5219 and 5225, than apply into the LCM equation.

GCF(5219,5225) = 1
LCM(5219,5225) = ( 5219 × 5225) / 1
LCM(5219,5225) = 27269275 / 1
LCM(5219,5225) = 27269275

Properties of LCM 5219 and 5225

(i) The LCM of 5225 and 5219 is associative

LCM of 5219 and 5225 = LCM of 5225 and 5219

Related Least Common Multiples of 5219

Related Least Common Multiples of 5225

Frequently Asked Questions on LCM of 5219 and 5225

1. What is the LCM of 5219 and 5225?

Answer: LCM of 5219 and 5225 is 27269275.

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 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 5219 and 5225?

Answer:

Least Common Multiple of 5219 and 5225 = 27269275

Step 1: Find the prime factorization of 5219

5219 = 17 x 307

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 = 27269275 = 5 x 5 x 11 x 17 x 19 x 307

Step 4: Therefore, the least common multiple of 5219 and 5225 is 27269275.