Least Common Multiple of 5215 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 5215 and 5219 the smallest integer that is 27217085 that is divisible by both numbers.
Least Common Multiple (LCM) of 5215 and 5219 is 27217085.
LCM(5215,5219) = 27217085
LCM of 5215 and 5219
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5215 and 5219 by Prime method
- Least Common Multiple of 5215 and 5219 with GCF Formula
LCM of 5215 and 5219 is 27217085
Least common multiple can be found by multiplying the highest exponent prime factors of 5215 and 5219. First we will calculate the prime factors of 5215 and 5219.
Prime Factorization of 5215
| 5 | 5215 |
| 7 | 1043 |
| 149 | 149 |
| 1 |
Prime factors of 5215 are 5, 7,149. Prime factorization of 5215 in exponential form is:
5215 = 51×71×1491
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 5215 and 5219.
LCM(5215,5219) = 51×71×171×1491×3071
LCM(5215,5219) = 27217085
Factors of 5215
List of positive integer factors of 5215 that divides 5215 without a remainder.
1, 5, 7, 35, 149, 745, 1043, 5215
Factors of 5219
List of positive integer factors of 5219 that divides 5219 without a remainder.
1, 17, 307, 5219
Least Common Multiple of 5215 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 5215 and 5219, than apply into the LCM equation.
GCF(5215,5219) = 1
LCM(5215,5219) = ( 5215 × 5219) / 1
LCM(5215,5219) = 27217085 / 1
LCM(5215,5219) = 27217085
Properties of LCM 5215 and 5219
(i) The LCM of 5219 and 5215 is associative
LCM of 5215 and 5219 = LCM of 5219 and 5215
Related Least Common Multiples of 5215
Related Least Common Multiples of 5219
Frequently Asked Questions on LCM of 5215 and 5219
1. What is the LCM of 5215 and 5219?
Answer: LCM of 5215 and 5219 is 27217085.
2. What are the Factors of 5215?
Answer: Factors of 5215 are 1, 5, 7, 35, 149, 745, 1043, 5215. There are 8 integers that are factors of 5215. The greatest factor of 5215 is 5215.
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 5215 and 5219?
Answer:
Least Common Multiple of 5215 and 5219 = 27217085
Step 1: Find the prime factorization of 5215
5215 = 5 x 7 x 149
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 = 27217085 = 5 x 7 x 17 x 149 x 307
Step 4: Therefore, the least common multiple of 5215 and 5219 is 27217085.