Least Common Multiple of 7215 and 7219
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7215 and 7219 the smallest integer that is 52085085 that is divisible by both numbers.
Least Common Multiple (LCM) of 7215 and 7219 is 52085085.
LCM(7215,7219) = 52085085
LCM of 7215 and 7219
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7215 and 7219 by Prime method
- Least Common Multiple of 7215 and 7219 with GCF Formula
LCM of 7215 and 7219 is 52085085
Least common multiple can be found by multiplying the highest exponent prime factors of 7215 and 7219. First we will calculate the prime factors of 7215 and 7219.
Prime Factorization of 7215
| 3 | 7215 |
| 5 | 2405 |
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 7215 are 3, 5, 13,37. Prime factorization of 7215 in exponential form is:
7215 = 31×51×131×371
Prime Factorization of 7219
| 7219 | 7219 |
| 1 |
Prime factors of 7219 are 7219. Prime factorization of 7219 in exponential form is:
7219 = 72191
Now multiplying the highest exponent prime factors to calculate the LCM of 7215 and 7219.
LCM(7215,7219) = 31×51×131×371×72191
LCM(7215,7219) = 52085085
Factors of 7215
List of positive integer factors of 7215 that divides 7215 without a remainder.
1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215
Factors of 7219
List of positive integer factors of 7219 that divides 7219 without a remainder.
1, 7219
Least Common Multiple of 7215 and 7219 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7215 and 7219, than apply into the LCM equation.
GCF(7215,7219) = 1
LCM(7215,7219) = ( 7215 × 7219) / 1
LCM(7215,7219) = 52085085 / 1
LCM(7215,7219) = 52085085
Properties of LCM 7215 and 7219
(i) The LCM of 7219 and 7215 is associative
LCM of 7215 and 7219 = LCM of 7219 and 7215
Related Least Common Multiples of 7215
Related Least Common Multiples of 7219
Frequently Asked Questions on LCM of 7215 and 7219
1. What is the LCM of 7215 and 7219?
Answer: LCM of 7215 and 7219 is 52085085.
2. What are the Factors of 7215?
Answer: Factors of 7215 are 1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215. There are 16 integers that are factors of 7215. The greatest factor of 7215 is 7215.
3. What are the Factors of 7219?
Answer: Factors of 7219 are 1, 7219. There are 2 integers that are factors of 7219. The greatest factor of 7219 is 7219.
4. How to Find the LCM of 7215 and 7219?
Answer:
Least Common Multiple of 7215 and 7219 = 52085085
Step 1: Find the prime factorization of 7215
7215 = 3 x 5 x 13 x 37
Step 2: Find the prime factorization of 7219
7219 = 7219
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52085085 = 3 x 5 x 13 x 37 x 7219
Step 4: Therefore, the least common multiple of 7215 and 7219 is 52085085.