Least Common Multiple of 5217 and 5219
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5217 and 5219 the smallest integer that is 27227523 that is divisible by both numbers.
Least Common Multiple (LCM) of 5217 and 5219 is 27227523.
LCM(5217,5219) = 27227523
LCM of 5217 and 5219
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5217 and 5219 by Prime method
- Least Common Multiple of 5217 and 5219 with GCF Formula
LCM of 5217 and 5219 is 27227523
Least common multiple can be found by multiplying the highest exponent prime factors of 5217 and 5219. First we will calculate the prime factors of 5217 and 5219.
Prime Factorization of 5217
| 3 | 5217 |
| 37 | 1739 |
| 47 | 47 |
| 1 |
Prime factors of 5217 are 3, 37,47. Prime factorization of 5217 in exponential form is:
5217 = 31×371×471
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5217 and 5219.
LCM(5217,5219) = 31×171×371×471×3071
LCM(5217,5219) = 27227523
Factors of 5217
List of positive integer factors of 5217 that divides 5217 without a remainder.
1, 3, 37, 47, 111, 141, 1739, 5217
Factors of 5219
List of positive integer factors of 5219 that divides 5219 without a remainder.
1, 17, 307, 5219
Least Common Multiple of 5217 and 5219 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5217 and 5219, than apply into the LCM equation.
GCF(5217,5219) = 1
LCM(5217,5219) = ( 5217 × 5219) / 1
LCM(5217,5219) = 27227523 / 1
LCM(5217,5219) = 27227523
Properties of LCM 5217 and 5219
(i) The LCM of 5219 and 5217 is associative
LCM of 5217 and 5219 = LCM of 5219 and 5217
Related Least Common Multiples of 5217
Related Least Common Multiples of 5219
Frequently Asked Questions on LCM of 5217 and 5219
1. What is the LCM of 5217 and 5219?
Answer: LCM of 5217 and 5219 is 27227523.
2. What are the Factors of 5217?
Answer: Factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217. There are 8 integers that are factors of 5217. The greatest factor of 5217 is 5217.
3. 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.
4. How to Find the LCM of 5217 and 5219?
Answer:
Least Common Multiple of 5217 and 5219 = 27227523
Step 1: Find the prime factorization of 5217
5217 = 3 x 37 x 47
Step 2: Find the prime factorization of 5219
5219 = 17 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27227523 = 3 x 17 x 37 x 47 x 307
Step 4: Therefore, the least common multiple of 5217 and 5219 is 27227523.